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Chapter 10: Q. 7 (page 596)

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 as渭F.

Assuming average grade of makes as渭M.

The null and alternative hypothesis is obtained as :-

H0:渭F=渭MHa:渭F>渭M

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

Use the following information to answer the next three exercises. Neuroinvasive West Nile virus is a severe disease that affects a person's nervous system . It is spread by the Culex species of mosquito. In the United States in 2010 there were 629 reported cases of neuroinvasive West Nile virus out of a total of 1,021 reported cases and there were 486 neuroinvasive reported cases out of a total of 712 cases reported in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases? Using a1%level of significance, conduct an appropriate hypothesis test.
  • "2011" subscript: 2011 group.
  • "2010" subscript: 2010 group

(a) a test of two proportions
(b) a test of two independent means
(c) a test of a single mean
(d) a test of matched pairs.

What are the sample mean difference?

Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys \(50\) entry level mechanical engineers and \(60\) entry level electrical engineers. Their mean salaries were \(\$46,100\) and \(\$46,700\), respectively. Their standard deviations were \(\$3,450\) and \(\$4,210\), respectively. Conduct a hypothesis test to determine if you agree that the mean

entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.

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

Ten individuals went on a low鈥揻at diet for 12 weeks to lower their cholesterol. The data are recorded in Table 10.30. Do you think that their cholesterol levels were significantly lowered?

Starting cholesterol levelEnding cholesterol level140140220230110120240220200190180150190200360300280300260240

Use the following information to answer the next two exercises. A new AIDS prevention drug was tried on a group of 224 HIV positive patients. Forty-five patients developed AIDS after four years. In a control group of 224 HIV positive patients, 68 developed AIDS after four years. We want to test whether the method of treatment reduces the proportion of patients that develop AIDS after four years or if the proportions of the treated group and the untreated group stay the same.

Let the subscript t=treated patient and ut=untreated patient.
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