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Chapter 10: Q.120 (page 608)

A golf instructor is interested in determining if her new technique for improving players' golf scores is effective. She takes four new students. She records their 18 -hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. The data are as follows.

The correct decision is

a. RejectH0

b. Do not rejectH0

Short Answer

Expert verified

The correct decision is (b).

Do not rejectH0

Step by step solution

01

Given Information 

The given data is

We have to determine the correct decision .

02

Explanation 

Let's check the differences from the table: 3,-2,7,1

We're putting these theories to the test.

μD=0,μD>0

The differences' mean and standard deviations are:

μ=2.25,s=3.774917

Computing the test statistic's value:

t=X¯sn=2.253.7749174=1.1921

The p-value is 0.15946, according to the applet.

We can conclude that we cannot reject hypothesis H0because the p-value is greater than any standard significance level (b).

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Most popular questions from this chapter

In two to three complete sentences, explain in detail how you might use Terri Vogel’s data to answer the following

question. “Does Terri Vogel drive faster in races than she does in practices?”

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Sketch a graph of the situation. Label the horizontal axis. Mark the hypothesized difference and the sample difference. Shade the area corresponding to the p-value.

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.

State the null and alternative hypotheses.

What are the sample mean difference?

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.
See all solutions

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