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Chapter 10: Q. 70 (page 600)

Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level

What is the sample mean difference?

Short Answer

Expert verified

Thus, 1.667 is the sample mean difference.

Step by step solution

01

Given information

The table is

02

Find the sample mean difference

onsider the output from Exercise 10.69:

The sample mean difference is 1.667.

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Most popular questions from this chapter

Comparing Two Independent Population Proportions.

Use the following information for the next five exercises. Two types of phone operating system are being tested to determine if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS1 had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with OS2 had system failures within the first eight hours of operation. OS2 is believed to be more stable (have fewer crashes) than OS1.

State the null and alternative hypotheses

98. One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from one (strongly agree) to five (strongly disagree). Table 10.26 contains ten of the paired responses for husbands and wives. Conduct a hypothesis test to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife).

Wife's Score
2
2
3
3
4
2
1
1
2
4
Husband's
Score
2
2
1
3
2
1
1
1
2
4

Use the following information to answer the next five exercises. Two metal alloys are being considered as material for ball bearings. The mean melting point of the two alloys is to be compared. 15 pieces of each metal are being tested. Both populations have normal distributions. The following table is the result. It is believed that Alloy Zeta has a different melting point.

State the null and alternative hypotheses.

It is believed that 70%of males pass their drivers test in the first attempt, while 65%of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.

Indicate if the hypothesis test is for :

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

88. If the level of significance is 0.05, the conclusion is:
a. There is sufficient evidence to conclude that the WDivision teams score fewer goals, on average, than the E teams
b. There is insufficient evidence to conclude that the W Division teams score more goals, on average, than the E teams.
c. There is insufficient evidence to conclude that the W teams score fewer goals, on average, than the E teams score.
d. Unable to determine
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