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Chapter 10: Q. 10.13 (page 589)

Five ball players think they can throw the same distance with their dominant hand (throwing) and off-hand (catching hand). The data were collected and recorded in the table given below. Conduct a hypothesis test to determine whether the mean difference in distances between the dominant and off-hand is significant. Test at the 5%level.

Short Answer

Expert verified

There is sufficient evidence to conclude that the mean difference in distance between the dominant and off-hand is significant.

Step by step solution

01

Given information

Five ball players think they can the same distance with their dominant hand (throwing) and off-hand (catching hand).

The data represented in the following table:

Test at a5%level of significance.

02

Calculation

The null and alternative hypothesis is :

H0:μd=0Ha:μd≠0

The significant level, α=5%=0.05.

The p-value is 0.023,which is lower than the significant level, so we reject the null hypothesis.

Hence, there is sufficient evidence to conclude that the mean difference in distance between the dominant and off-hand is significant.

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Most popular questions from this chapter

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.

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