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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:μWesley=μRodriguezH1:μWesley<μRodriguez

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 μwesley.

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

Below are the null and alternative hypotheses.

H0:μwellyy=μrodriguesH1:μwelcy<μrodrigues

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Most popular questions from this chapter

Use the following information to answer the next 15exercises: 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

The known standard deviation in salary for all mid-level professionals in the financial industry is \(11,000. Company A and CompanyB are in the financial industry. Suppose samples are taken of mid-level professionals from Company A and from Company B. The sample mean salary for mid-level professionals in Company A is\)80,000. The sample mean salary for mid-level professionals in Company B is $96,000. Company A and Company B management want to know if their midlevel professionals are paid differently, on average.

Use the following information to answer the next three exercises: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions.

Is this a one-tailed or two-tailed test?

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.

State the null and alternative hypotheses.

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

Draw the graph of the p-value.

In symbols, what is the random variable of interest for this test?
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