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Chapter 10: Q. 7 (page 596)

Use the following information to answer the next 15exercises: 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

It is believed that the average grade on an English essay in a particular school system for females is higher than for males. A random sample of 31females had a mean score of 82 with a standard deviation of three, and a random sample of 25 males had a mean score of 76 with a standard deviation of four

Short Answer

Expert verified

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

Step by step solution

01

Given information

Females are thought to get a higher average grade on an English essay in a certain educational system than males.

The mean score of 31random females was 82, with a standard deviation of3.

The mean score of 31random females was82, with a standard deviation of 4.

02

Explanation

Assuming a female's average grade is 渭F

Assuming a male's average grade is 渭M

The null and alternative hypothesis is given as

H0:渭F=渭MHa:渭F>渭M

This demonstrates that the hypothesis test is valid for independent group means, population standard deviations, and unknown variances.

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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

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