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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 82with a standard deviation of three, and a random sample of 25males had a mean score ofrole="math" localid="1650387947130" 76 with a standard deviation of four.

Short Answer

Expert verified

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

Step by step solution

01

Given information

It is believed that average grade of females is more than the males on an English essay in a specific school system.

31 random females had mean score of 82and standard deviation of 3.

25 random males had mean score of 76and standard deviation of 4.

02

Calculation

Now solving,

Assuming average grade of females asμF.

Assuming average grade of makes asμM.

The null and alternative hypothesis is obtained as :-

H0:μF=μMHa:μF>μM

This shows that this hypothesis testis for independent group means, population standard deviations, and/or variances unknown.

03

Final answer

This shows that this hypothesis testis for independent group means, population standard deviations, and/or variances unknown.

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Most popular questions from this chapter

The average worker in Germany gets eight weeks of paid vacation.

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

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e. two proportions

f. single proportion

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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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Husband's
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