Virginia Woolf and her colleagues tested 559 high school students using a survey for English literature. The means and standard deviations for each of the seven preferred novel types in the survey are given in the following table forn=252 male students and n 307 female students. Males Females Survey Factor Novel type Mean Mean Gothic 10.06 647 13.64 7.46 Historical 22.05 5.12 25.96 5.07 Experimental 13.65 4.82 9.88 4.41 Sentimental 11.48 5.69 13.21 5.31 Social realism 6.90 3.41 6.49 2.97 4.95 3.29 3.85 2,49 Psychological Epistolary 2.15 2.10 3.00 2.26 a) Give a 90% confidence interval for the means of Psychological novels for male students. Interpret this interval. b) Give a 95% confidence interval for the variances of Experimental novels for female students.

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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Virginia Woolf and her colleagues tested 559 high school students using a survey for English
1) .
literature. The means and standard deviations for each of the seven preferred novel types in the survey are
given in the following table for n 252 male students and n = 307 female students.
Males
Females
Survey Factor
Novel type
Mean
Mean
Gothic
10.06
647
13.64
7.46
Historical
22.05
5.12
25.96
5.07
Experimental
Sentimental
4.41
5.31
13.65
4.82
9 88
11.48
5.69
13.21
Social realism
Psychological
Epistolary
6.49
3.85
6.90
3.41
2.97
4.95
3.29
2.49
2.15
2.10
3.00
2.26
a)
Give a 90% confidence interval for the means of Psychological novels for male students.
Interpret this interval.
b),
Interpret this interval.
Ele
Give a 95% confidence interval for the variances of Experimental novels for female students.
the differance in the means Cor male and femala students
Transcribed Image Text:Virginia Woolf and her colleagues tested 559 high school students using a survey for English 1) . literature. The means and standard deviations for each of the seven preferred novel types in the survey are given in the following table for n 252 male students and n = 307 female students. Males Females Survey Factor Novel type Mean Mean Gothic 10.06 647 13.64 7.46 Historical 22.05 5.12 25.96 5.07 Experimental Sentimental 4.41 5.31 13.65 4.82 9 88 11.48 5.69 13.21 Social realism Psychological Epistolary 6.49 3.85 6.90 3.41 2.97 4.95 3.29 2.49 2.15 2.10 3.00 2.26 a) Give a 90% confidence interval for the means of Psychological novels for male students. Interpret this interval. b), Interpret this interval. Ele Give a 95% confidence interval for the variances of Experimental novels for female students. the differance in the means Cor male and femala students
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