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Chapter 10: Q.32 (page 597)

Use the following information to answer the next five exercises. The mean speeds of fastball pitches from two different

baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have

normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.

State the null and alternative hypotheses.

Short Answer

Expert verified

H0:渭Wesley=渭RodriguezH1:渭Wesley<渭Rodriguez

Step by step solution

01

Given information

The table is

02

Step 2: State the null and alternative hypotheses.

Both baseball pitchers have the same speed, according to the null hypothesis.

Let's say Wesley's average fastball speed is 渭wesley.

Let's say Rodriguez's average fastball speed is 渭Rodriguez.

Below are the null and alternative hypotheses.

H0:渭wellyy=渭rodriguesH1:渭welcy<渭rodrigues

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Most popular questions from this chapter

Use the following information to answer the next five exercises. A study was conducted to test the effectiveness of a software patch in reducing system failures over a six-month period. Results for randomly selected installations are shown in Table 10.21. The 鈥渂efore鈥� value is matched to an 鈥渁fter鈥� value, and the differences are calculated. The differences have a normal distribution. Test at the 1% significance level.

State the null and alternative hypotheses.

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

100. We are interested in whether the proportions of female suicide victims for ages 15 to 24 are the same for the whites and the blacks races in the United States. We randomly pick one year, 1992, to compare the races. The number of suicides estimated in the United States in 1992 for white females is 4,930 . Five hundred eighty were aged 15 to 24 . The estimate for black females is 330 . Forty were aged 15 to 24 . We will let female suicide victims be our population.

At Rachel鈥檚 \(11th\) birthday party, eight girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis.
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