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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 渭A

Assuming school B average tuition as 渭B

The null and alternative hypothesis is given as

H0:渭A=渭BHa:渭A鈮�渭B

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

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Most popular questions from this chapter

Adults aged 18 years old and older were randomly selected for a survey on obesity. Adults are considered obese if their body mass index (BMI) is at least 30. The researchers wanted to determine if the proportion of women who are obese in the south is less than the proportion of southern men who are obese. The results are shown in Table 10.27. Test at the 1% level of significance.


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At the 1 % significance level, what is your conclusion?

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