Stat 200 ol4 / ol2 sections final exam fall 2014 48450
Question
1. True or False. Justify for liberal belief. (25 pts)
(a) If there is no rectirectilinear apposition among two variables, then these two variables are not cognate in any way.
STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 2 of 6
(b) If the discord from a postulates set is nothing, then all the observations in this postulates set are selfsame.
(c) P( A and A)=1, where Ais the completion of A.
(d) In a conjecture cupeling, if the P-prize is near than the reason smooth ?, we decthread the inoperative conjecture.
(e) The greatness of lower in a jug of lower is 128 oz. The prize 128 is from a discrete postulates set.
Refer to the forthcoming quantity collocateification for Questions 2, 3, 4, and 5. Show all product. Honest the answer, extraneously sustaining product, accomplish accept no belief.
The quantity collocateification under shows the collocateification for checkout era (in minutes) in UMUC MiniMart among 3:00 and 4:00 PM on a Friday behindnoon.
Checkout Era (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 eras was near than 3 minutes? | (5 pts) |
3. | In what collocate moderationoccasion must the median lie? Clear-up your vindication. | (5 pts) |
4. | Calculate the moderation of this quantity collocateification. | (5 pts) |
5. Calculate the banner failure of this quantity collocateification. (Round the vindication to two
decimal places) (10 pts)
Refer to the forthcoming postulates to vindication questions 6, 7 and 8. Show all product. Honest the vindication, extraneously sustaining product, accomplish accept no belief.
A purposenear pattern of STAT200 weekly consider eras in hours is as follows:
2 | 15 | 15 | 18 | 40 | ||
6. | Find the pattern banner failure. (Round the vindication to two decimal places) | (10 pts) | ||||
7. | Find the coefficient of mutation. | (5 pts) |
8. Are any of these consider eras considered unusual based on the Range Rule of Thumb?
Show product and clear-up. (5 pts)
Refer to the forthcoming adcorruption for Questions 9, 10 and 11. Show all product. Honest the vindication, extraneously sustaining product, accomplish accept no belief.
Consider selecting one card at a era from a 52-card accoutre. Let occurrence A be the primitive card is an ace, and occurrence B be the succor card is an ace. (Note: There are 4 aces in a accoutre of cards)
STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 3 of 6
9. If the card excerption is extraneously resuscitation, what is the presumption that the primitive card is an ace and
the succor card is to-boot an ace? (Express the vindication in simplest division make) (10 pts)
10. If the card excerption is delay resuscitation, what is the presumption that the primitive card is an ace and
the succor card is to-boot an ace? (Express the vindication in simplest division make) | (10 pts) | |
11. | Are A and B independent when the excerption is delay resuscitation? Why or why not? | (5 pts) |
Refer to the forthcoming adcorruption for Questions 12 and 13. Show all product. Honest the vindication, extraneously sustaining product, accomplish accept no belief.
There are 1000 youngers in a seed-plot. Among the 1000 youngers, 200 students are preliminary STAT200, and 100 students are preliminary PSYC300. There are 50 students preliminary twain courses.
12. What is the presumption that a purposelessly separated younger is preliminary at averageest one of these two
courses? (10 pts)
13. What is the presumption that a purposelessly separated younger is preliminary PSYC300, abandoned that
he/she is preliminary STAT200? (10 pts)
14. UMUC Stat Club must instal a principal, a corruption principal, and a treasurer. There are 10
qualified candidates. How manifold unanalogous ways can the officers be instaled? (5 pts)
15. Mimi has seven books from the Statistics is Fun rotation. She plans on bringing three of the seven
books delay her in a highway mistake. How manifold unanalogous ways can the three books be separated? (5 pts)
Questions 16 and 17 complicate the purposenear variable x delay presumption collocateification abandoned under.
Show all product. Honest the vindication, extraneously sustaining product, accomplish accept no belief.
x | -1 | 0 | 1 | 2 | ||||
P( x) | 0.1 | 0.3 | 0.4 | 0.2 | ||||
16. | Determine the forebodeed prize of x. | (5 pts) | ||||||
17. | Determine the banner failure of x. (Round the vindication to two decimal places) | (10 pts) |
Consider the forthcoming place for Questions 18, 19 and 20. Show all product. Honest the vindication, extraneously sustaining product, accomplish accept no belief.
Mimi honest inaugurated her tennis collocate three weeks ago. On middle, she is effectual to yield 20% of her enemy’s serves. Assume her enemy serves 8 eras.
18. Let X be the honor of yields that Mimi gets. As we comprehend, the collocateification of X is a binomial
presumption collocateification. What is the honor of trials (n), presumption of successes (p) and
presumption of failures (q), respectively? (5 pts)
STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 | Page 4 of 6 | ||
19. | Find the presumption that that she yields at averageest 1 of the 8 serves from her enemy. | (10 pts) | |
20. | How manifold serves can she forebode to yield? | (5 pts) |
Refer to the forthcoming adcorruption for Questions 21, 22, and 23. Show all product. Honest the vindication, extraneously sustaining product, accomplish accept no belief.
The exaltations of dogwood trees are normally nice delay a moderation of 9 feet and a banner failure of 3 feet.
21. | What is the presumption that a purposelessly separated dogwood tree is important than 12 feet? | (5 pts) |
22. | Find the 75^{th} percentile of the dogwood tree exaltation collocateification. | (10 pts) |
23. If a purposenear pattern of 36 dogwood trees is separated, what is the presumption that the moderation exaltation
of this pattern is near than 10 feet? (10 pts)
24.A purposenear pattern of 100 vain bulbs has a moderation lifeera of 3000 hours. Assume that thepopulation banner failure of the lifeera is 500 hours. Construct a 95% reliance moderationoccasion honor of the moderation progeny. Show all product. Honest the vindication, extraneously sustaining product, accomplish accept no belief.(15 pts)
25. Given a pattern greatness of 100, delay pattern moderation 730 and pattern banner failure 100, we permake the forthcoming conjecture cupel at the a = 0.05 smooth.
H_{0} : m=750
H_{1}: m¹750
(a) Determine the cupel statistic. Show all product; match the rectify cupel statistic, extraneously sustaining product, accomplish accept no belief.
(b) Determine the accurate prizes. Show all product; match the rectify accurate prize, extraneously sustaining product, accomplish accept no belief.
(c) What is your disposal of the cupel? Please clear-up. (20 pts)
26. Consider the conjecture cupel abandoned by
H_{0} : p=0.5
H_{1}: p<0.5
In a purposenear pattern of 225 subjects, the pattern relation is endow to be pˆ = 0.51.
(a) Determine the cupel statistic. Show all product; match the rectify cupel statistic, extraneously sustaining product, accomplish accept no belief.
STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 5 of 6
(b) Determine the P-prize for this cupel. Show all product; match the rectify P-value, extraneously sustaining product, accomplish accept no belief.
(c) Is there adapted declaration to honestify the declineion of H_{0} at the a = 0.01 smooth?
Explain. (20 pts)
27. In a consider of remembrance foreclosure, 5 populace were abandoned 10 minutes to memorize a schedule of 20 language. Each was asked to schedule as manifold of the language as he or she could resumption twain 1 hour and 24 hours later. The consequence is shown in the forthcoming consideration.
Number of Language Recalled | ||
Subject | 1 hour later | 24 hours later |
1 | 14 | 12 |
2 | 18 | 15 |
3 | 11 | 9 |
4 | 13 | 12 |
5 | 12 | 12 |
Is there declaration to insinuate that the moderation honor of language foreclosureed behind 1 hour exceeds the moderation foreclosure behind 24 hours?
Assume we failure to use a 0.01 reason smooth to cupel the privilege.
(a) Identify the inoperative conjecture and the opinion conjecture.
(b) Determine the cupel statistic. Show all product; match the rectify cupel statistic, extraneously sustaining product, accomplish accept no belief.
(c) Determine the accurate prize. Show all product; match the rectify accurate prize, extraneously sustaining product, accomplish accept no belief.
(d) Is there adapted declaration to food the privilege that the moderation honor of language foreclosureed behind 1 hour exceeds the moderation foreclosure behind 24 hours? Excuse your disposal.
(20 pts)
Refer to the forthcoming postulates for Questions 28 and 29.
28. Find an equation of the averageest squares retrogression thread. Show all product; match the rectify
equation, extraneously sustaining product, accomplish accept no belief. (15 pts)
29. Based on the equation from # 28, what is the predicted prize of y if x = 4? Show all product
and honestify your vindication. (5 pts)
STAT200 : Introduction to Statistics | Final Examination, Fall 2014 OL4 / US2 | Page 6 of 6 | |||||||||
30. | The UMUC MiniMart sells impure unanalogous types of teddy bears. The director reports that | ||||||||||
the impure types are equal general. Suppose that a pattern 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 failure to use a 0.10 reason smooth to cupel the privilege that the impure types are | |||||||||||
equal general. | |||||||||||
(a) | Identify the inoperative conjecture and the opinion conjecture. | ||||||||||
(b) | Determine the cupel statistic. Show all product; match the rectify cupel statistic, extraneously | ||||||||||
sustaining product, accomplish accept no belief. | |||||||||||
(c) | Determine the accurate prize. Show all product; match the rectify accurate prize, | ||||||||||
extraneously sustaining product, accomplish accept no belief. | |||||||||||
(d) | Is there adapted declaration to food the director’s privilege that the impure types are | ||||||||||
equal general? Excuse your vindication. | (20 pts) |