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A researcher wants to assess if the average age when women first marry has increased from 1960 to 1990. Let 4= average age of first marriage for women in 1990 and µ2 = average age of first marriage for women in 1960. A random sample of 10 women married in 1990 showed an average age at marriage of 24.95 years, with a sample standard deviation of 2 years. A random sample of 20 women married in 1960 showed an average age at marriage of 23.1 years, with a sample standard deviation of 1.5 years. Assume that age of first marriage for women is normally distributed, and assume the population variances are equal. i. ii. What is the value of the test statistics? iii. Why you decided to use the test statistics in part ii ?

A researcher wants to assess if the average age when women first marry has increased from 1960 to 1990. Let 4= average age of first marriage for women in 1990 and µ2 = average age of first marriage for women in 1960. A random sample of 10 women married in 1990 showed an average age at marriage of 24.95 years, with a sample standard deviation of 2 years. A random sample of 20 women married in 1960 showed an average age at marriage of 23.1 years, with a sample standard deviation of 1.5 years. Assume that age of first marriage for women is normally distributed, and assume the population variances are equal. i. ii. What is the value of the test statistics? iii. Why you decided to use the test statistics in part ii ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A researcher wants to assess if the average age when women first marry has increased from 1960 to 1990. Let µz= average age of first marriage for women in 1990 and µz = average age of first marriage for women in 1960. A random sample of 10 women married in 1990 showed an average age at marriage of 24.95 years, with a sample standard deviation of 2 years. A random sample of 20 women married in 1960 showed an average age at marriage of 23.1 years, with a sample standard deviation of 1.5 years. Assume that age of first marriage for women is normally distributed, and assume the population variances are equal. i. ii. What is the value of the test statistics? iii. Why you decided to use the test statistics in part ii ?
Transcribed Image Text:A researcher wants to assess if the average age when women first marry has increased from 1960 to 1990. Let µz= average age of first marriage for women in 1990 and µz = average age of first marriage for women in 1960. A random sample of 10 women married in 1990 showed an average age at marriage of 24.95 years, with a sample standard deviation of 2 years. A random sample of 20 women married in 1960 showed an average age at marriage of 23.1 years, with a sample standard deviation of 1.5 years. Assume that age of first marriage for women is normally distributed, and assume the population variances are equal. i. ii. What is the value of the test statistics? iii. Why you decided to use the test statistics in part ii ?
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