# Math 104 midterm exam (perfect answer)

1. A 99% self-reliance cessation think can be interpreted to moderation that

a. if all feasible illustrations are charmed and self-reliance cessation thinks are plain, 99% of them would embrace the gentleman population moderation somewhere among their cessation.
b. we enjoy 99% self-reliance that we enjoy selected a illustration whose cessation does embrace the population moderation.

2. Which of the forthcoming is not gentleman encircling the Student's t classification?
a. It has further area in the tails and close in the benevolence than does the usual classification.
b. It is used to build self-reliance cessations for the population moderation when the population criterion gap is public.
c. It is bell patternd and patternly.
d. As the compute of degrees of insubservience increases, the t classification approaches the usual classification.

3. A self-reliance cessation was used to think the relation of statistics novices that are feminines. A vague illustration of 72 statistics novices generated the forthcoming 90% self-reliance cessation: (0.438, 0.642). Grounded on the cessation overhead, is the population relation of feminines similar to 0.60?
a. No, and we are 90% enduring of it.
b. No. The relation is 54.17%.
c. Maybe. 0.60 is a believable appraise of the population relation grounded on the knowledge overhead.
d. Yes, and we are 90% enduring of it.

4. A self-reliance cessation was used to think the relation of statistics novices that are feminine. A vague illustration of 72 statistics novices generated the forthcoming 90% self-reliance cessation: (0.438, 0.642). Using the knowledge overhead, what greatness illustration would be requisite if we wanted to think the gentleman relation to among 0.08 using 95% self-reliance?
a. 105
b. 150
c. 420
d. 597

5. When determining the illustration greatness requisite for estimating the gentleman population moderation, which constituent is not considered when sampling behind a spanliness retrieval?
a. The population greatness.
b. The population criterion gap.
c. The flatten of self-reliance desired in the think.
d. The allowable or allowable sampling falsity.
6. An economist is ardent in studying the pays of consumers in a feature territory. The population criterion gap is public to be \$1,000. A vague illustration of 50 men-folks resulted in an middle pay of \$15,000. What is the excellent end top in a 99% self-reliance cessation for the middle pay?
a. \$15,052
b. \$15,141
c. \$15,330
d. \$15,364

7. An economist is ardent in studying the pays of consumers in a feature territory. The population criterion gap is public to be \$1,000. A vague illustration of 50 men-folks resulted in an middle pay of \$15,000. What illustration greatness would the economist scarcity to use for a 95% self-reliance cessation if the width of the cessation should not be further than
\$100?
a. n = 1537
b. n = 385
c. n = 40
d. n = 20

8. The gathering librarian at the Library of Congress has asked her contributor for an cessation think of the moderation compute of books checked out each day. The contributor provides the forthcoming cessation think: from 740 to 920 books per day. If the gathering librarian knows that the population criterion gap is 150 books checked out per day, and she asked her contributor to use 25 days of basis to build the cessation think, what self-reliance flatten can she append to the cessation think?
a. 99.7%
b. 99.0%
c. 98.0%
d. 95.4%

9. Which of the forthcoming would be an misspend ineffectual theory?
a. The population relation is close than 0.65.
b. The illustration relation is close than 0.65.
c. The population relation is no close than 0.65.
d. The illustration relation is no close than 0.65.

10. If we are performing a two-tailed experience of whether = 100, the appearance of detecting a shelve of the moderation to 105 conciliate be ________ the appearance of detecting a shelve of the moderation to 110.
a. close than
b. greater than
c. similar to
d. not approximate to
11. Which of the forthcoming statements is not gentleman encircling the flatten of apprehension in a theory experience?

a. The greatr the flatten of apprehension, the further slight you are to renounce the ineffectual theory.
b. The flatten of apprehension is the acme lavish we are conciliateing to confirm in making a Type I falsity.
c. The apprehension flatten is so designated the flatten.
d. The apprehension flatten is another indicate for Type II falsity.

12. A _________________ is a numerical measure computed from the basis of a illustration and is used in reaching a sentence on whether or not to renounce the ineffectual theory.
a. apprehension flatten
b. dubious appraise
c. experience statistic
d. parameter

TABLE 7-2
A novice claims that he can truly demonstrate whether a peculiar is a calling superior or an husbandry superior by the way the peculiar dresses. Fancy in actuality that he can truly demonstrate a calling superior 87% of
the period, spanliness 16% of the period he mistakenly identifies an husbandry superior as a calling superior. Presented behind a spanliness one peculiar and asked to demonstrate the superior of this peculiar (who is either a calling or husbandry superior), he
considers this to be a theory experience behind a spanliness the ineffectual theory substance that the peculiar is a calling superior and the choice that the peculiar is an husbandry superior.

13. Referring to Table 7-2, what would be a Type I falsity?
a. Saying that the peculiar is a calling superior when in occurrence the peculiar is a calling superior.
b. Saying that the peculiar is a calling superior when in occurrence the peculiar is an husbandry superior.
c. Saying that the peculiar is an husbandry superior when in occurrence the peculiar is a calling superior.
d. Saying that the peculiar is an husbandry superior when in occurrence the peculiar is an husbandry superior.
TABLE 7-6
The power coerce engineer for a wares manufacturer is ardent in the moderation total of nerve requisite to effect cracks in stressed oak wares. The moderation for unstressed wares is 650 psi. She performs a two-tailed experience of the ineffectual theory that the moderation for the stressed oak wares is 650. The congenial appraise of the Z experience statistic is a unconditional compute that leads to a p appraise of 0.080 for the experience.

14. Referring to Table 7-6, fancy the engineer had firm that the choice theory to experience was that the moderation was close than 650. What would be the p appraise of this one-tailed experience?
a. 0.040
b. 0.160
c. 0.840
d. 0.960

15. The t experience for the moderation distinction betwixt 2 connected populations feigns that the appertaining
a. illustration greatnesss are similar.
b. illustration variances are similar.
c. populations are almost usual or illustration greatnesss are great abundance.

16. In experienceing for distinctions betwixt the moderations of 2 connected populations
the ineffectual theory is:
a. H0: D = 2.
b. H0: D = 0.
c. H0: D < 0.
d. H0: D > 0.

17. To use the Wilcoxon Rank Sum Experience as a experience for subsidence, we must feign that
a. the obtained basis are either ranks or numerical measurements twain among and betwixt the 2 illustrations.
b. twain illustrations are vaguely and inconsequently drawn from their appertaining populations.
c. twain underlying populations from which the illustrations were drawn are equiponderant in pattern and arrangement.
TABLE 8-4
A true lands community is ardent in experienceing whether, on middle, families in Gotham enjoy been help in their ordinary homes for close period than families in Metropolis enjoy. A vague illustration of 100 families from Gotham and
a vague illustration of 150 families in Metropolis forego the forthcoming basis on protraction of pernoctation in ordinary homes.
Gotham: G = 35 months, sG2 = 900 Metropolis: M = 50 months, sM2 = 1050
18. Referring to Table 8-4, what is(are) the dubious appraise(s) of the pertinent theory experience if the flatten of apprehension is 0.01?
a. t  Z = -1.96
b. t  Z = 1.96
c. t  Z = -2.080
d. t  Z = -2.33

19. Referring to Table 8-4, what is the criterionized appraise of the think of the moderation of the sampling classification of the distinction betwixt illustration moderations?
a. -8.75
b. -3.75
c. -2.33
d. -1.96

TABLE 8-5
To experience the goods of a calling train provision way, prospect (8) novices took a open calling experience anteriorly and behind the way. The results are dedicated underneath.
Exam Score Exam Score
Student Anteriorly Way (1) Behind Way (2)
1 530 670
2 690 770
3 910 1000
4 700 710
5 450 550
6 820 870
7 820 770
8 630 610

20. Referring to Table 8-5, at the 0.05 flatten of apprehension, the sentence for this theory experience would be:

a. renounce the ineffectual theory.
b. do not renounce the ineffectual theory.
c. renounce the choice theory.
d. It cannot be unshaken from the knowledge dedicated.