# Stat 200 ol4 / ol2 sections final exam fall 2014 48450

Question

1. True or False. Justify for bountiful reputation. (25 pts)

(a) If there is no direct interrelation between two variables, then these two variables are not connected in any way.

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 2 of 6

(b) If the hostility from a facts set is nothing, then all the observations in this facts set are selfsame.

(c) P( A and A)=1, where Ais the fulfilment of A.

(d) In a fancy standarding, if the P-esteem is short than the balanceing plane ?, we repel the void fancy.

(e) The dimensions of fix in a jug of fix is 128 oz. The esteem 128 is from a discrete facts set.

Refer to the subjoinedcited abundance disposal for Questions 2, 3, 4, and 5. Show all is-sue. Fair the answer, extraneously sustaining is-sue, achieve assent-to no reputation.

The abundance disposal beneath shows the disposal for checkout occasion (in minutes) in UMUC MiniMart between 3:00 and 4:00 PM on a Friday subjoinednoon.

 Checkout Occasion (in minutes) Frequency 1.0 - 1.9 2 2.0 - 2.9 12 3.0 - 3.9 2 4.0 - 4.9 4

 2 What percentage of the checkout occasions was short than 3 minutes? (5 pts) 3 In what arrange interim must the median lie? Decipher your response. (5 pts) 4 Calculate the balance of this abundance disposal. (5 pts)

5. Calculate the scale irregularity of this abundance disposal. (Round the response to two

decimal places) (10 pts)

Refer to the subjoinedcited facts to response questions 6, 7 and 8. Show all is-sue. Fair the response, extraneously sustaining is-sue, achieve assent-to no reputation.

A purposeshort illustration of STAT200 weekly con-over occasions in hours is as follows:

 2 15 15 18 40 6. Find the illustration scale irregularity. (Round the response to two decimal places) (10 pts) 7. Find the coefficient of sinuosity. (5 pts)

8. Are any of these con-over occasions considered unusual based on the Range Rule of Thumb?

Show is-sue and decipher. (5 pts)

Refer to the subjoinedcited notice for Questions 9, 10 and 11. Show all is-sue. Fair the response, extraneously sustaining is-sue, achieve assent-to no reputation.

Consider selecting one card at a occasion from a 52-card invest. Let fact A be the original card is an ace, and fact B be the prevent card is an ace. (Note: There are 4 aces in a invest of cards)

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 3 of 6

9. If the card option is extraneously regaining, what is the verisimilitude that the original card is an ace and

the prevent card is too an ace? (Express the response in simplest behalf create) (10 pts)

10. If the card option is subjoined a while regaining, what is the verisimilitude that the original card is an ace and

 the prevent card is too an ace? (Express the response in simplest behalf create) (10 pts) 11. Are A and B independent when the option is subjoined a while regaining? Why or why not? (5 pts)

Refer to the subjoinedcited notice for Questions 12 and 13. Show all is-sue. Fair the response, extraneously sustaining is-sue, achieve assent-to no reputation.

There are 1000 youngers in a college. Among the 1000 youngers, 200 students are initiative STAT200, and 100 students are initiative PSYC300. There are 50 students initiative twain courses.

12. What is the verisimilitude that a purposelessly chosen younger is initiative at smallest one of these two

courses? (10 pts)

13. What is the verisimilitude that a purposelessly chosen younger is initiative PSYC300, consecrated that

he/she is initiative STAT200? (10 pts)

14. UMUC Stat Club must invest a chairman, a badness chairman, and a treasurer. There are 10

qualified candidates. How sundry divergent ways can the officers be invested? (5 pts)

15. Mimi has seven books from the Statistics is Fun course. She plans on bringing three of the seven

books subjoined a while her in a route err. How sundry divergent ways can the three books be chosen? (5 pts)

Questions 16 and 17 envelop the purposeshort variable x subjoined a while verisimilitude disposal consecrated beneath.

Show all is-sue. Fair the response, extraneously sustaining is-sue, achieve assent-to no reputation.

 x -1 0 1 2 P( x) 0.1 0.3 0.4 0.2 16. Determine the rely-oned esteem of x. (5 pts) 17. Determine the scale irregularity of x. (Round the response to two decimal places) (10 pts)

Consider the subjoinedcited place for Questions 18, 19 and 20. Show all is-sue. Fair the response, extraneously sustaining is-sue, achieve assent-to no reputation.

Mimi fair employmenting her tennis arrange three weeks ago. On mediocre, she is able to render 20% of her antagonist’s serves. Assume her antagonist serves 8 occasions.

18. Let X be the like of renders that Mimi gets. As we apprehend, the disposal of X is a binomial

verisimilitude disposal. What is the like of trials (n), verisimilitude of successes (p) and

verisimilitude of failures (q), respectively? (5 pts)

 STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 4 of 6 19. Find the verisimilitude that that she renders at smallest 1 of the 8 serves from her antagonist. (10 pts) 20. How sundry serves can she rely-on to render? (5 pts)

Refer to the subjoinedcited notice for Questions 21, 22, and 23. Show all is-sue. Fair the response, extraneously sustaining is-sue, achieve assent-to no reputation.

The culminations of dogwood trees are normally reserved subjoined a while a balance of 9 feet and a scale irregularity of 3 feet.

 21 What is the verisimilitude that a purposelessly chosen dogwood tree is superior than 12 feet? (5 pts) 22 Find the 75th percentile of the dogwood tree culmination disposal. (10 pts)

23. If a purposeshort illustration of 36 dogwood trees is chosen, what is the verisimilitude that the balance culmination

of this illustration is short than 10 feet? (10 pts)

24.A purposeshort illustration of 100 capricious bulbs has a balance lifeoccasion of 3000 hours. Assume that thepopulation scale irregularity of the lifeoccasion is 500 hours. Construct a 95% assurance interim like of the balance origination. Show all is-sue. Fair the response, extraneously sustaining is-sue, achieve assent-to no reputation.(15 pts)

25. Given a illustration dimension of 100, subjoined a while illustration balance 730 and illustration scale irregularity 100, we percreate the subjoinedcited fancy standard at the a = 0.05 plane.

H0 : m=750

H1: m¹750

(a) Determine the standard statistic. Show all is-sue; letter the rectify standard statistic, extraneously sustaining is-sue, achieve assent-to no reputation.

(b) Determine the ticklish esteems. Show all is-sue; letter the rectify ticklish esteem, extraneously sustaining is-sue, achieve assent-to no reputation.

(c) What is your blank of the standard? Please decipher. (20 pts)

26. Consider the fancy standard consecrated by

H0 : p=0.5

H1: p<0.5

In a purposeshort illustration of 225 subjects, the illustration rate is build to be pˆ = 0.51.

(a) Determine the standard statistic. Show all is-sue; letter the rectify standard statistic, extraneously sustaining is-sue, achieve assent-to no reputation.

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 5 of 6

(b) Determine the P-esteem for this standard. Show all is-sue; letter the rectify P-value, extraneously sustaining is-sue, achieve assent-to no reputation.

(c) Is there adequate criterionimony to fairify the repelion of H0 at the a = 0.01 plane?

Explain. (20 pts)

27. In a con-over of recollection resumption, 5 mass were consecrated 10 minutes to memorize a register of 20 tone. Each was asked to register as sundry of the tone as he or she could recollect twain 1 hour and 24 hours subjoined. The remainder is shown in the subjoinedcited consultation.

 Number of Tone Recalled Subject 1 hour subjoined 24 hours subjoined 1 14 12 2 18 15 3 11 9 4 13 12 5 12 12

Is there criterionimony to propose that the balance like of tone resumptioned subjoined 1 hour exceeds the balance resumption subjoined 24 hours?

Assume we neglect to use a 0.01 balanceing plane to standard the right.

(a) Identify the void fancy and the resource fancy.

(b) Determine the standard statistic. Show all is-sue; letter the rectify standard statistic, extraneously sustaining is-sue, achieve assent-to no reputation.

(c) Determine the ticklish esteem. Show all is-sue; letter the rectify ticklish esteem, extraneously sustaining is-sue, achieve assent-to no reputation.

(d) Is there adequate criterionimony to subsistence the right that the balance like of tone resumptioned subjoined 1 hour exceeds the balance resumption subjoined 24 hours? Defend your blank.

(20 pts)

Refer to the subjoinedcited facts for Questions 28 and 29.

28. Find an equation of the smallest squares retrogradation outline. Show all is-sue; letter the rectify

equation, extraneously sustaining is-sue, achieve assent-to no reputation. (15 pts)

29. Based on the equation from # 28, what is the predicted esteem of y if x = 4? Show all is-sue

and fairify your response. (5 pts)

 STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 6 of 6 30. The UMUC MiniMart sells filthy divergent types of teddy bears. The superintendent reports that the filthy types are similar liked. Suppose that a illustration of 100 purchases yields observed counts 30, 24, 22, and 24 for types 1, 2, 3, and 4, respectively. Type 1 2 3 4 Number 30 24 22 24 Assume we neglect to use a 0.10 balanceing plane to standard the right that the filthy types are similar liked. (a) Identify the void fancy and the resource fancy. (b) Determine the standard statistic. Show all is-sue; letter the rectify standard statistic, extraneously sustaining is-sue, achieve assent-to no reputation. (c) Determine the ticklish esteem. Show all is-sue; letter the rectify ticklish esteem, extraneously sustaining is-sue, achieve assent-to no reputation. (d) Is there adequate criterionimony to subsistence the superintendent’s right that the filthy types are similar liked? Defend your response. (20 pts)