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Chapter 10: Q. 13 (page 596)

Use the following information to answer the next 15 exercises: 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

A sample of 12 in-state graduate school programs at school A has a mean tuition of \(64,000 with a standard deviation of \)8,000. At school B, a sample of 16 in-state graduate programs has a mean of \(80,000 with a standard deviation of \)6,000. On average, are the mean tuitions different?

Short Answer

Expert verified

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

Step by step solution

01

Given information

12 in-state graduate school programs of school A has $64000 mean tuition and standard deviation of $8000.

16 in-state graduate school program of school B has$80000 mean and standard deviation of $6000.

02

The most appropriate hypothesis test for the supplied data.

Assuming school A average tuition as μA

Assuming school B average tuition as μB

The null and alternative hypothesis is given as

H0:μA=μBHa:μA≠μB

This demonstrates that this hypothesis test is for unknown variances, population standard deviations, and/or independent group means.

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