# Math | Mathematics homework help

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

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1)  A casual illustration of  700 exalted develop seniors is ardent the SAT-V experiment. The middle representation for this illustration is  overbar(x) = 487. What can you say about the middle representation m of all exalted develop seniors? 1)  ______________

2)  The remove subject-matter middles for 10 casually separated tyros in a statistics arrange after a while 125 tyros are listed underneath. What can you say about the middle representation m of all 125 tyros?

3.7     2.5     2.3     2.0     2.6     3.5     2.1     2.8     2.4     3.6 2)  ______________

3)  A actual trust in interim is  8.35 < m <  9.85. Find the illustration middle  overbar(x) and the hallucination of believe E. 3)  ______________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

4)  Given the identical illustration statistics, which plane of trust obtain yield the narrowest trust interim? 4)  ________

A) 75% B)  85% C)  90% D)  95%

5)  The remove subject-matter middles for 10 casually separated tyros in a statistics arrange after a while 125 tyros are listed underneath.

2.0    3.2    1.8    2.9    0.9    4.0    3.3    2.9    3.6    0.8

What is the property on the width of the trust interim if the illustration bulk is increased to 20? 5)  ________

A) The width decreases.

B) The width increases.

C) The width sediment the identical.

D) It is unusable to mention after a whileout past instruction.

6)  Find the censorious rate  _elementsubscript_element that corresponds to a  94% trust plane. 6)  ________

A)  plusminus1.88 B)   plusminus1.645 C)   plusminus1.96 D)   plusminus2.33

7)  Determine the hallucination of believe if the remove subject-matter middles for 10 casually separated tyros from a arrange of 125 tyros has a middle of  overbar(x) =  2.0. Assume the remove subject-matter middle of the 125 tyros has a middle of m =  2.5. 7)  ________

A)  0.5 B)   2.25 C)  - 0.5 D)   1.75

8)  A casual illustration of  50 tyros has a experiment representation middle after a while a trutination gap of  11.4. Find the acme hallucination of believe if c =  0.98. 8)  ________

A)  3.76 B)   0.53 C)   1.61 D)   1.58

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

9)  In a modern examine of  71 eighth removers, the middle compute of hours per week that they watched television was  18.7 after a while a trutination gap of  5.8 hours.

a) Find the  98% trust interim of the middle.

b) If the trutination gap is doubled to  11.6, what obtain be the property on the trust interim? 9)  ______________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

10)  A casual illustration of 150 tyros has a remove subject-matter middle after a while a middle of 2.86 and after a while a trutination gap of 0.78. Form the trust interim for the population middle, m, if c = 0.98. 10)  _______

A) (2.71, 3.01) B)  (2.51, 3.53) C)  (2.43, 3.79) D)  (2.31, 3.88)

11)  A casual illustration of 40 tyros has a experiment representation after a while  overbar(x) = 81.5 and s = 10.2. Form the trust interim for the population middle, m if c = 0.90. 11)  _______

A) (78.8, 84.2) B)  (51.8, 92.3) C)  (66.3, 89.1) D)  (71.8, 93.5)

12)  A casual illustration of 40 tyros has a middle annual rights of \$3120 and a trutination gap of \$677. Form the trust interim for the population middle, m if c = 0.95. 12)  _______

A) (\$2910, \$3330) B)  (\$210, \$110)

C) (\$4812, \$5342) D)  (\$1987, \$2346)

13)  A casual illustration of 56 fluorescent unsteady bulbs has a middle conduct of 645 hours after a while a trutination gap of 31 hours. Form a 95% trust interim for the population middle. 13)  _______

A) (636.9, 653.1) B)  (539.6, 551.2)

C) (112.0, 118.9) D)  (712.0, 768.0)

14)  A collection of 49 casually separated tyros has a middle age of 22.4 years after a while a trutination gap of 3.8. Form a 98% trust interim for the population middle. 14)  _______

A) (21.1, 23.7) B)  (20.3, 24.5) C)  (19.8, 25.1) D)  (18.8, 26.3)

15)  A collection of 40 bowlers showed that their middle representation was 192 after a while a trutination gap of 8. Find the 95% trust interim of the middle representation of all bowlers. 15)  _______

A) (189.5, 194.5) B)  (186.5, 197.5)

C) (188.5, 195.6) D)  (187.3, 196.1)

16)  In a casual illustration of 60 computers, the middle recover require was \$150 after a while a trutination gap of \$36. Form a 99% trust interim for the population middle. 16)  _______

A) (\$138, \$162) B)   (\$18, \$54) C)  (\$238, \$274) D)  (\$537, \$654)

17)  In a modern examine of 42 eighth removers, the middle compute of hours per week that they watched television was 19.6 after a while a trutination gap of 5.8 hours. Find the 98% trust interim for the population middle. 17)  _______

A) (17.5, 21.7) B)  (14.1, 23.2) C)  (18.3, 20.9) D)  (19.1, 20.4)

18)  In a illustration of 10 casually separated women, it was build that their middle top was 63.4 inches. From earlier studies, it is antecedent that the trutination gap, s, is 2.4. Form the 95% trust interim for the population middle. 18)  _______

A) (61.9, 64.9) B)  (58.1, 67.3) C)  (59.7, 66.5) D)  (60.8, 65.4)

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

19)  There were 800 math instructors at a mathematics convocation. Forty instructors were casually separated and ardent an IQ experiment. The representations yieldd a middle of 130 after a while a trutination gap of 10. Find a 95% trust interim for the middle of the 800 instructors. Use the terminable population price element. 19)  _____________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

20)  The trutination IQ experiment has a middle of  97 and a trutination gap of  18. We neglect to be  95% actual that we are after a whilein  5 IQ subject-matters of the gentleman middle. Designate the required illustration bulk. 20)  _______

A)  50 B)   8 C)   147 D)   1

21)  A promote at a topical hospital is animated in estimating the origin constraining of infants. How catholic a illustration must she picked if she desires to be  99% trusting that the gentleman middle is after a whilein  3 ounces of the illustration middle? The trutination gap of the origin constrainings is unreserved to be  8 ounces. 21)  _______

A)  48 B)   47 C)   7 D)   6

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

22)  In direct to set rates, an prophylactic corporation is unmanageable to believe the compute of nauseated days that generous age workers at an auto recover fund charm per year. A earlier examine concerned that the trutination gap was  2.2 days. a) How catholic a illustration must be separated if the corporation neglects to be  95% trusting that the gentleman middle contends from the illustration middle by no past than 1 day? b) Repeat dissect (a) using a  98% trust interim. Which plane of trust requires a catholicr illustration bulk? Explain. 22)  _____________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

23)  Find the censorious rate,  _elementsubscript_element for c = 0.99 and n = 10. 23)  _______

A) 3.250 B)  2.2821 C)  2.262 D)  1.833

24)  Find the censorious rate,  _elementsubscript_element, for c = 0.95 and n = 16. 24)  _______

A) 2.131 B)  1.753 C)  2.602 D)  2.947

25)  Find the censorious rate,  _elementsubscript_element, for c = 0.90 and n = 15. 25)  _______

A) 1.761 B)  1.345 C)  2.145 D)  2.624

26)  Find the rate of E, the acme hallucination of believe, for c = 0. 90, n = 16 and s =  2.3. 26)  _______

A)  1.01 B)   0.25 C)   0.77 D)   0.19

27)  Find the rate of E, the acme hallucination of believe, for c = 0. 99, n = 10 and s =  3.8. 27)  _______

A)  3.91 B)   3.39 C)   1.23 D)   3.81

28)  Find the rate of E, the acme hallucination of believe, for c = 0. 99, n = 15 and s =  5.1. 28)  _______

A)  3.92 B)   4.02 C)   3.46 D)   1.01

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

29)  Construct a 98% trust interim for the population middle, m. Assume the population has a regular dispensation. A casual illustration of 20 nursery tyros has middle annual rights of  \$3480 after a while a trutination gap of  \$668. 29)  _____________

30)  Construct a 95% trust interim for the population middle, m. Assume the population has a regular dispensation. In a casual illustration of 26 computers, the middle recover require was  \$160 after a while a trutination gap of  \$34. 30)  _____________

31)  a) Form a 95% trust interim for the population middle, m. Assume the population has a regular dispensation. In a casual illustration of 26 computers, the middle recover require was  \$174 after a while a trutination gap of  \$37.

b) Suppose you did some elaboration on recover requires for computers and build that the trutination gap is  sigma = 37. Use the regular dispensation to form a 95% trust interim for the population middle, m. Compare the results. 31)  _____________

32)  A manufacturer receives an direct for fluorescent unsteady bulbs. The direct requires that the bulbs own a middle conduct span of  850 hours. The manufacturer pickeds a casual illustration of 25 fluorescent unsteady bulbs and finds that they own a middle conduct span of  845 hours after a while a trutination gap of 15 hours. Experiment to see if the manufacturer is making cheerful unsteady bulbs. Use a 95% trust plane. Assume the postulates are regularly as sorted. 32)  _____________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

33)  Construct a 95% trust interim for the population middle, m. Assume the population has a regular dispensation. A illustration of 20 nursery tyros had middle annual rights of \$3120 after a while a trutination gap of \$677. 33)  _______

A) (\$2803, \$3437) B)  (\$1324, \$1567)

C) (\$2135, \$2567) D)  (\$2657, \$2891)

34)  Construct a 90% trust interim for the population middle, m. Assume the population has a regular dispensation. A illustration of 15 casually separated tyros has a remove subject-matter middle of 2.86 after a while a trutination gap of 0.78. 34)  _______

A) (2.51, 3.21) B)  (2.41, 3.42) C)  (2.37, 3.56) D)  (2.28, 3.66)

35)  Construct a 95% trust interim for the population middle, m. Assume the population has a regular dispensation. A illustration of 25 casually separated tyros has a middle experiment representation of 81.5 after a while a trutination gap of 10.2. 35)  _______

A) (77.29, 85.71) B)  (56.12, 78.34)

C) (66.35, 69.89) D)  (87.12, 98.32)

36)  Construct a 95% trust interim for the population middle, m. Assume the population has a regular dispensation. A casual illustration of 16 fluorescent unsteady bulbs has a middle conduct of 645 hours after a while a trutination gap of 31 hours. 36)  _______

A) (628.5, 661.5) B)  (876.2, 981.5)

C) (531.2, 612.9) D)  (321.7, 365.8)

37)  Construct a 99% trust interim for the population middle, m. Assume the population has a regular dispensation. A collection of 19 casually separated tyros has a middle age of 22.4 years after a while a trutination gap of 3.8 years. 37)  _______

A) (19.9, 24.9) B)  (16.3, 26.9) C)  (17.2, 23.6) D)  (18.7, 24.1)

38)  Construct a 98% trust interim for the population middle, m. Assume the population has a regular dispensation. A examine of 14 bowlers showed that their middle representation was 192 after a while a trutination gap of 8. 38)  _______

A) (186.3, 197.7) B)  (222.3, 256.1)

C) (328.3, 386.9) D)  (115.4, 158.8)

39)  Construct a 90% trust interim for the population middle, m. Assume the population has a regular dispensation. In a modern examine of 22 eighth removers, the middle compute of hours per week that they watched television was 19.6 after a while a trutination gap of 5.8 hours. 39)  _______

A) (17.47, 21.73) B)  (18.63, 20.89)

C) (5.87, 7.98) D)  (19.62, 23.12)

40)  A casual illustration of 10 parking meters in a seaboard fraternity showed the forthcoming incomes for a day. Assume the incomes are regularly as sorted.

\$3.60  \$4.50  \$2.80  \$6.30  \$2.60  \$5.20  \$6.75  \$4.25  \$8.00  \$3.00

Find the 95% trust interim for the gentleman middle. 40)  _______

A) (\$3.39, \$6.01) B)  (\$2.11, \$5.34)

C) (\$4.81, \$6.31) D)  (\$1.35, \$2.85)

41)  The remove subject-matter middles for 10 casually separated exalted develop tyros are listed underneath. Assume the remove subject-matter middles are regularly as sorted.

2.0   3.2   1.8   2.9   0.9   4.0   3.3   2.9   3.6   0.8

Find a 98% trust interim for the gentleman middle. 41)  _______

A) (1.55, 3.53) B)  (0.67, 1.81) C)  (2.12, 3.14) D)  (3.11, 4.35)

42)  A topical bank needs instruction about the checking representation neutralizes of its customers. A casual illustration of 15 representations was checked. The middle neutralize was \$686.75 after a while a trutination gap of \$256.20. Find a 98% trust interim for the gentleman middle. Assume that the representation neutralizes are regularly as sorted. 42)  _______

A) (\$513.17, \$860.33) B)  (\$238.23, \$326.41)

C) (\$326.21, \$437.90) D)  (\$487.31, \$563.80)

43)  When  475 nursery tyros were viewed, 125 said they own their car. Find a subject-matter believe for p, the population uniformity of tyros who own their cars. 43)  _______

A)  0.263 B)   0.737 C)   0.357 D)   0.208

44)  A view of 100 calamitous accidents showed that  11 were alcohol connected. Find a subject-matter believe for p, the population uniformity of accidents that were alcohol connected. 44)  _______

A)  0.11 B)   0.89 C)   0.124 D)   0.099

45)  A view of  500 non-calamitous accidents showed that  118 concerned the use of a cell phone. Find a subject-matter believe for p, the population uniformity of accidents that concerned the use of a cell phone. 45)  _______

A)  0.236 B)   0.764 C)   0.309 D)   0.191

46)  A view of 250 households showed  37 owned at last one gun. Find a subject-matter believe for p, the population uniformity of households that own at last one gun. 46)  _______

A)  0.148 B)   0.852 C)   0.174 D)   0.129

47)  A view of  2490 golfers showed that  347 of them are left-handed. Find a subject-matter believe for p, the population uniformity of golfers that are left-handed. 47)  _______

A)  0.139 B)   0.861 C)   0.162 D)   0.122

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

48)  When  385 nursery tyros were viewed,  160 said they own their car. Form a 95% trust interim for the uniformity of nursery tyros who say they own their cars. 48)  _____________

49)  A view of  600 non-calamitous accidents showed that  166 concerned the use of a cell phone. Form a 99% trust interim for the uniformity of calamitous accidents that concerned the use of a cell phone. 49)  _____________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

50)  A view of 100 calamitous accidents showed that 52 were alcohol connected. Form a 98% trust interim for the uniformity of calamitous accidents that were alcohol connected. 50)  _______

A) (0.404, 0.636) B)  (0.120, 0.340)

C) (0.560, 0.580) D)  (0.880, 0.900)

51)  A view of 250 households showed 62 owned at last one gun. Form a 90% trust interim for the uniformity of households that own at last one gun. 51)  _______

A) (0.203, 0.293) B)  (0.103, 0.189)

C) (0.369, 0.451) D)  (0.683, 0.712)

52)  A view of 2450 golfers showed that 281 of them are left-handed. Form a 98% trust interim for the uniformity of golfers that are left-handed. 52)  _______

A) (0.100, 0.130) B)  (0.203, 0.293)

C) (0.369, 0.451) D)  (0.683, 0.712)

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

53)  In a view of 10 golfers, 2 were build to be left-handed. Is it skilled to form the 90% trust interim for the population uniformity, p? Explain.

53)  _____________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

54)  A elaborationer at a elder hospital wishes to believe the uniformity of the adult population of the United States that has exalted lineage constraining. How catholic a illustration is needed in direct to be  98% trusting that the illustration uniformity obtain not contend from the gentleman uniformity by past than  6%? 54)  _______

A)  378 B)   10 C)   755 D)   267

55)  A pollster wishes to believe the uniformity of United States voters who boon consummate price. How catholic a illustration is needed in direct to be  90% trusting that the illustration uniformity obtain not contend from the gentleman uniformity by past than  4%? 55)  _______

A)  423 B)   256 C)   11 D)   846

56)  A special conviction poll is conducted for a politician to designate what uniformity of the population boons decriminalizing marijuana occupation. How catholic a illustration is needed in direct to be  95% trusting that the illustration uniformity obtain not contend from the gentleman uniformity by past than  3%? 56)  _______

A)  1068 B)   752 C)   2135 D)   17

57)  A manufacturer of golf equipment wishes to believe the compute of left-handed golfers. How catholic a illustration is needed in direct to be  99% trusting that the illustration uniformity obtain not contend from the gentleman uniformity by past than  6%? A earlier examine indicates that the uniformity of left-handed golfers is  10%. 57)  _______

A)  166 B)   136 C)   185 D)   38

58)  A elaborationer wishes to believe the compute of households after a while two cars. How catholic a illustration is needed in direct to be  95% trusting that the illustration uniformity obtain not contend from the gentleman uniformity by past than  5%? A earlier examine indicates that the uniformity of households after a while two cars is  24%. 58)  _______

A)  281 B)   198 C)   369 D)   4

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

59)  A say exaltedway sentry negotiative wishes to believe the compute of drivers that exceed the expedite season traveling a actual path.

a) How catholic a illustration is needed in direct to be  90% trusting that the illustration uniformity obtain not contend from the gentleman uniformity by past than  2%?

b) Repeat dissect (a) assuming earlier studies build that  85% of drivers on this path exceeded the expedite season. 59)  _____________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

60)  Find the censorious rates,  X after a while (superscript (stacked) and subscript (~%3)) and X after a while (superscript (stacked) and subscript (~%3)), for c = 0.95 and n = 12.    60)  _______

A) 3.816 and 21.920 B)  3.053 and 24.725

C) 4.575 and 26.757 D)  2.603 and 19.675

61)  Find the censorious rates,  X after a while (superscript (stacked) and subscript (~%3)) and X after a while (superscript (stacked) and subscript (~%3)), for c = 0.90 and n = 15. 61)  _______

A) 6.571 and 23.685 B)  4.075 and 31.319

C) 4.660 and 29.131 D)  5.629 and 26.119

62)  Find the censorious rates,  X after a while (superscript (stacked) and subscript (~%3)) and X after a while (superscript (stacked) and subscript (~%3)), for c = 0.98 and n = 20. 62)  _______

A) 7.633 and 36.191 B)  6.844 and 27.204

C) 8.907 and 38.582 D)  10.117 and 32.852

63)  Find the censorious rates,  X after a while (superscript (stacked) and subscript (~%3)) and X after a while (superscript (stacked) and subscript (~%3)), for c = 0.99 and n = 10. 63)  _______

A) 1.735 and 23.587 B)  2.156 and 25.188

C) 2.088 and 21.666 D)  2.558 and 23.209

64)  Construct a 95% trust interim for the population trutination gap s of a casual illustration of 15 men who own a middle constraining of 165.2 pounds after a while a trutination gap of  12.4 pounds. Assume the population is regularly as sorted. 64)  _______

A) ( 9.1,  19.6) B)  ( 82.4,  382.4) C)  ( 2.6,  5.6) D)  ( 9.5,  18.1)

65)  Assume that the tops of men are regularly as sorted. A casual illustration of 16 men own a middle top of 67.5 inches and a trutination gap of  2.6 inches. Form a 99% trust interim for the population trutination gap, s. 65)  _______

A) ( 1.8,  4.7) B)  ( 1.8,  4.8) C)  ( 1.1,  2.9) D)  ( 1.8,  4.4)

66)  Assume that the tops of women are regularly as sorted. A casual illustration of 20 women own a middle top of 62.5 inches and a trutination gap of  1.4 inches. Form a 98% trust interim for the population difference,  sigma to force of (2). 66)  _______

A) ( 1.0,  4.9) B)  ( 1.0,  2.2) C)  ( 0.7,  3.5) D)  ( 1.1,  5.1)

67)  The middle restitution age for a casual illustration of 12 microwave ovens is 8.6 years after a while a trutination gap of  2.7 years. Form the 98% trust interim for the population difference,  sigma to force of (2). Assume the postulates are regularly as sorted 67)  _______

A) ( 3.2,  26.3) B)  ( 1.8,  5.1) C)  ( 1.2,  9.7) D)  ( 3.1,  22.5)

68)  A tyro casually pickeds 10 CDs at a provision. The middle is \$8.75 after a while a trutination gap of \$1.50. Form a 95% trust interim for the population trutination gap, s. Assume the postulates are regularly as sorted. 68)  _______

A) (\$1.03, \$2.74) B)  (\$0.43, \$1.32)

C) (\$1.43, \$2.70) D)  (\$1.76, \$3.10)

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

69)  The tops (in inches) of 20 casually separated adult males are listed underneath. Form a 99% trust interim for the difference,  sigma to force of (2). Assume the population is regularly as sorted.

70    72    71    70    69    73    69    68    70    71

67    71    70    74    69    68    71    71    71    72 69)  _____________

MULTIPLE CHOICE.  Choose the one choice that best completes the proposition or answers the doubt.

70)  The remove subject-matter middles for 10 casually separated tyros are listed underneath. Form a 90% trust interim for the population trutination gap, s. Assume the postulates are regularly as sorted.

2.0    3.2    1.8    2.9    0.9    4.0    3.3    2.9    3.6    0.8 70)  _______

A) (0.81, 1.83) B)  (0.32, 0.85) C)  (0.53, 1.01) D)  (1.10, 2.01)

SHORT ANSWER.  Write the tidings or characteristic that best completes each proposition or answers the doubt.

71)  A holder of car oil is supposed to hold 1000 milliliters of oil. A condition administer director neglects to be trusting that the trutination gap of the oil holders is near than 20 milliliters. He casually pickeds 10 cans of oil after a while a middle of 997 milliliters and a trutination gap of 32 milliliters. Use these illustration results to form a 95% trust interim for the gentleman rate of s. Does this trust interim intimate that the exception in the oil holders is at an cheerful plane? 71)  _____________