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Chapter 10: Q. 8 (page 596)

The league mean batting average is 0.280 with a known standard deviation of 0.06. The Rattlers and the Vikings belong

to the league. The mean batting average for a sample of eight Rattlers is 0.210, and the mean batting average for a sample

of eight Vikings is 0.260. There are 24 players on the Rattlers and 19 players on the Vikings. Are the batting averages of the

Rattlers and Vikings statistically different?

Short Answer

Expert verified

The test is for known variances, population standard deviations, and/or independent group means.

Step by step solution

01

Given information

The League mean batting average is 0.28, while the standard deviation is 0.06.

The league's sample 8 Rattlers' men's batting average is 0.210.

The men's batting average in sample 8 of the league is 0.260.

Rattlers have a total of 24 players.

Vikings=19 number of players

02

To identify the most appropriate hypothesis test for the supplied data.

Let us assume the mean batting average of Rattlers as μℝ

considering mean batting average of Vikings as μV

The null and alternative hypothesis is given as

H0:μR=μV

Ha:μR≠μV

This demonstrates that this hypothesis test can be used with known independent group means, population standard deviations, and/or variances.

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Most popular questions from this chapter

A concerned group of citizens wanted to know if the proportion of forcible rapes in Texas was different in 2011

than in 2010.Their research showed that of the 113,231violent crimes in Texas in 2011,7622of them were forcible rapes. In 2011,7439of the 104,873violent crimes were in the forcible rape category. Test at a 5%significance level.

Answer the following questions:

a. Is this a test of two means or two proportions?

b. Which distribution do you use to perform the test?

c. What is the random variable?

d. What are the null and alternative hypothesis? Write the null and alternative hypothesis in symbols.

e. Is this test right-, left-, or two-tailed?

f. What is the p-value?

g. Do you reject or not reject the null hypothesis?

h. At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that

____________.

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.

Is this a right-, left-, or two-tailed test?

Calculate the test statistic.

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Is this a right-tailed, left-tailed, or two-tailed test? How do you know?

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