Stat 3001 practice exam questions
STAT 3001 Practice Exam
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1. An admissions advisor for a persomal garden decides he would love to designate the moderation age of wards at the garden for some promotional materials. To do this he pulls the archives of 200 purposeclose wards at the garden.
What mold of examine is this (remark or trial), what is the varioperative of share?
2. Fifty registered nurses are asked how numerous hours they exertion each week. Based on this exemplification the venerated moderation is 46 hours delay a brink of deception of 4.9 hours. Use the consecrated objurgates to demonstobjurgate the reliance interspace lovely to comprehend the express population moderation.
3. The subjoined histogram represents the movie protractions hit movies in 1998
a How numerous movies completion are represented in this histogram?
b. How numerous movies lasted close than 150 minutes?
c. How numerous movies lasted over than 150 minutes?
d. What is the leading potential movie protraction represented in this histogram?
4. A existent domain sovereign archives the objurgate of the prospect settlements she has listed at this instant they are as follows:
123,000 155,000 139,000 140,000 159,000 34,000 121,000 and
a. Meet the moderation and median of the axioms presented
b. Demonstobjurgate the outlier on the LOW end of the axioms set, migobjurgate this objurgate and count the new moderation and median
c. Demonstobjurgate the outlier on the HIGH end of the axioms set, migobjurgate this objurgate what is the new moderation and median of the axioms set (HINT be positive you put your low objurgate tail in!)
5. In a scrutinize of 2,150 US teachers it was set-up that 60% of them said if they could set-on-foot their successs again they would cull a divergent success. The brink of deception was 5 percentage points
What was the goal of this examine
What is the population
Identify the population parameter of share
Identify the exemplification
What is the raw axioms firm for this examine
Identify the exemplification statistic
Based on the brink of deception demonstobjurgate the order of objurgates lovely to comprehend the population parameter of share
6. The subjoined toperative shows the moderation wprospect and likeness irregularity for divergent speciousnessed M and M’s in grams
Assume the machine supply the bag is set to castaway M and M’s over than 2 likeness irregularitys aloft and adown the moderation
For each speciousness meet the order of moments that are acceptoperative to the vending machine
7. The subjoined toperative measures the wprospect of M and M’s (in grams) of multitudinous speciousnesss of the candy.
Oorder Blue Green
0.903 0.838 0.911
0.92 0.875 1.002
0.861 0.87 0.902
1.009 0.956 0.93
0.971 0.968 0.949
Use a 0.01 smooth of discernment to cupel the right that the divergent speciousnesss all possess the identical moderation.
a. Meet the p objurgate
b. At this smooth is there intimateive exemplification to say that all speciousnesss possess the identical moderation?
8. A statistics ward unwavering to flatten a dice 50 ages, she flattened the compute two 11 ages. Is the dissimilitude betwixt what the ward flattened and what is theoretically expected statistically intimateive?
9. Axioms was narrative for the compute of settlement runs hit for three baseball players, Mark McGwire, Sammy Sosa and Barry Bonds. The Analysis of Variance results obtained from software are set-up adown. The discernment smooth is 0.10 in cupeling the trifling fancy.
Source: DF: SS: MS: Cupel Stat Fastidious F: P-Value:
Treatment: 2 9546.87 4773.43 3.35 2.32 0.036
Error: 206 293224.08 1423.41
Total: 208 302770.95
What is the trifling fancy?
What is the resource fancy
What is the p objurgate
Is there tit exemplification to aid the right that the three players possess divergent moderation compute of settlement runs hit?
10. A scrutinyer wishes to veneobjurgate the moderation compute of hours that proud gglobular wards lay-out on facequantity each day. A brink of deception of 0.22 hours is desired. Past studies intimate a population likeness irregularity of 2.1 hours is unintoxicated, veneobjurgate the incompleteness exemplification enlightenedness needed to veneobjurgate the population moderation delay the desired truthfulness.
11. A examine was executed inentire 1200 Walden Students. Inentire these wards 700 were Masters of Nursing wards and 520 of these were entrance their leading online route. Inentire the 500 other wards, 410 were entrance their leading online route.
a. What percentage of wards were nursing wards
b. What percentage of nursing wards were entrance their leading online route
c. Inentire those who were NOT nursing wards what percentage were entrance their leading online route?
d. What percentage of the wards were entrance the leading online route?
12. On scrutiny examine of unfair refuse use inentire teenagers shows a subside from 11.4% in 1997 to 9.5% now. Suppose a examine in a enlightened proud gglobular reveals that in a isolated purposeclose exemplification of 1054 wards 97 news using unfair refuses. Use the 0.05 discernment smooth to cupel the principal’s right that unfair refuse use is adown the exoteric moderation.
a. formulate the trifling and resource fancy
b. The exemplification statistics are the exemplification enlightenedness n=1054 and the exemplification adaptation , meet the exemplification adaptation globulared to indecent decimal places
c. Meet the likeness reckoning, z for the exemplification adaptation
d. Is there tit exemplification to aid the principals right that the unfair refuse use at this gglobular is adown the exoteric moderation?
13. Suppose you distinguish the disposal of exemplification adaptations in exemplifications of 300 registered utterancers who achieve utterance for aspirant A is usual delay a moderation of 0.34 delay a likeness irregularity of 0.02. Suppose you picked a purposeclose exemplification of 300 utterancers and meet the adaptation of those achieveing to utterance for aspirant A is 0.38.
a. How numerous likeness irregularitys is the exemplification adaptation from the moderation of the disposal of exemplification adaptations?
b. What is the appearance the pickeded exemplification would possess a adaptation of close than 0.38?
14. You picked a purposeclose exemplification of n=15 families in your neighborhood and meet the subjoined extraction enlightenednesss.
Find the moderation extraction enlightenedness from the exemplification as well-mannered-mannered as the likeness irregularity
What is the best veneobjurgate for the moderation exemplification enlightenedness for the population of all extraction enlightenednesss in the kingdom?
What is the 95% reliance interspace for the moderation?
Do you move this exemplification is figurative of the all realm why or why not?
15. Consecrated the subjoined fancy statements:
Ho: The moderation GPA of males=moderation GPA of females
Ha: The moderation GPA of males is not similar to the moderation GPA of females
Explain in the composition of GPA for males and females what it moderations to produce a mold I and mold II deception.
16. A isolated purposeclose exemplification of 25 ward IQ reckonings is pickeded. The moderation reckoning is 102.5 delay a likeness irregularity of 12.8. Us the t disposal to frame a 95% reliance interspace for the population moderation.
Solution: Brink of deception = t * (s / SQRT n )
S = likeness irregularity objurgate
SQRT = clear stem symbol
n = exemplification enlightenedness
t = 2.064 (for this total)
Find the t objurgate delay station of insubservience = 25-1 = 24 (or closest to 24 in the t consideration) and alpha 0.05 or 5%.
After you meet the brink of deception, add and remove it from the consecrated moderation objurgate to meet the Reliance interspace.
Confidence interspace = moderation objurgate +/- brink of deception objurgate
17. Usurp that the population moderation is to be venerated from a exemplification. Use the exemplification results to abut the brink of deception and 95% reliance smooth.
Sample enlightenedness=121 exemplification moderation=80 exemplification likeness irregularity =14
18. A isolated yes/no scrutinize is presented to two groups of subjects, those delay outcome and those delayout. The results are summarized in the two way toperative adown.
Respondent has outcome
Respondent does not possess outcome
a. State the trifling and resource hypotheses
b. Meet the toperative of expected frequencies
c. Meet the chi cleard cupel statistic
d. Meet the fastidious objurgate of the chi cleard cupel statistic at a 0.05 smooth of discernment
e. Based on these objurgates which fancy is aided?
19. In a new-fangled examine of 353 4 year old girls the subjoined axioms was firm:
One of the girls proveed 40 pounds, she was heavier than 200 of the other girls. What percentile is this objurgate?
One of these girls proveed 24 pounds, she was heavier than 18 of the other girls, what percentile was this feature objurgate?
One of the girls proveed 44 pounds and was heavier than 301 of the other girls. What is the percentile of this feature objurgate?
20. A proud gglobular ward flattens a dice 12 ages and archives the subjoined results
1 4 6 2 2 3 4 5 6 1 2 3
Based on these results entire the subjoined toperative (globular to the unswerving tenth as needed)
Relative abundance (as a %)
21. Usurp the moderation wprospect of 5 year olds is usually as sorted delay a moderation of 45 pounds and likeness irregularity of 5 pounds. Using the 68-96-99.7 administration meet the subjoined:
a. Percent of five year olds who prove close than 40 pounds
b. The percent who prove over than 55 pounds
c. The percent who prove betwixt 40 and 55 pounds
22. Designate if the subjoined varioperative is indispensable or promotive and present their smooth of configuration. If it is promotive in truth stat if it is consecutive or discrete.
Number of facequantity friends
Wprospect in pounds
23. The whole of proceeds race rescue on moderation has subsided from 7% to 4%.
a. The savings objurgate has subsided by ____ percentage points
b. Meet the percent vary in savings objurgate
Percent of vary = (new proceeds – initiatory proceeds) / initiatory proceeds
= (0.04 – 0.07) / 0.07
= 0.03 / 0.07
= 0.4285 = 42.85%
24. Based on axioms from the garden consideration usurp SAT reckonings are usually as sorted delay a moderation of 1518 points an d a likeness irregularity of 325 points.
a. If a exemplification of 100 wards is obtain?}nmeet the moderation and likeness irregularity of the disposal of exemplification moderations
b. If a exemplification of enlightenedness 121 wards is obtain?}n meet the moderation and likeness irregularity of the disposal of exemplification moderations
25. A isolated purposeclose exemplification of 16 divergent cereals is obtained; the sugar willing (in grams) is measured for each cereal. The exemplification has a moderation of 0.295 grams, a likeness irregularity of 0.168 grams. Use the 0.05 smooth of discernment to cupel the right that the moderation whole of sugar is close than 0.3 grams.
a. State the trifling and resource fancy statements
b. Meet the cupel statistic T
c. Which fancy does the axioms aid?
26. A purposeclose exemplification of thirty six cans of cola has a moderation of 12.19 ounces delay a likeness irregularity of 0.11 ounces. Usurp we are using a 0.05 smooth of discernment to cupel the fancy the moderation can of cola comprehends over than 12.19 ounces. The population moderation is 12 ounces.
a. Meet the cupel statistic z
b. Meet the p objurgate
27. The subjoined axioms set includes the selling objurgates of settlements (in thousands) and the whole of taxes paid
Find the r and r cleard objurgates
28. A population moderation is to be venerated from the exemplification described adown. Meet the brink of deception and 95% reliance interspace.
Sample enlightenedness 100, exemplification moderation 75.0 exemplification likeness irregularity 10.0
29. The subjoined toperative presents the settlementrun distances of ten settlement runs hit by Sammy Sosa and Mark McGwire. Meet the order and likeness irregularity for each player
30. In a Gallup poll targeting 1025 purposelessly pickeded adult Americans 47% considerd that the realms best years were stagnant afront of us (rather than rearwards us). Demonstobjurgate the subjoined:
a. The exemplification
b. The population
c. The sampling regularity used
d. Demonstobjurgate the exemplification statistic
e. Demonstobjurgate the population parameter
f. Do you consider the exemplification is figurative of the population? Why?