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A sociologist wants to see if it is true that for professional women, the average age at which they have their first child is 29 years. A random sample of 40 women is selected, and their ages at the birth of their first child is recorded. The mean of that sample was 31.2 years, and the standard deviation of the population is 4.18. At a = 0. 01, can you conclude that the evidence differs from her initial claim? Please show all work below, including your null and alternative hypotheses, critical value, test value, and your conclusion.

A sociologist wants to see if it is true that for professional women, the average age at which they have their first child is 29 years. A random sample of 40 women is selected, and their ages at the birth of their first child is recorded. The mean of that sample was 31.2 years, and the standard deviation of the population is 4.18. At a = 0. 01, can you conclude that the evidence differs from her initial claim? Please show all work below, including your null and alternative hypotheses, critical value, test value, and your conclusion.

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 sociologist wants to see if it is true that for professional women, the average age at which they have their first child is 29 years. A random sample of 40 women is selected, and their ages at the birth of their first child is recorded. The mean of that sample was 31.2 years, and the standard deviation of the population is 4.18. At a = 0. 01, can you conclude that the evidence differs from her initial claim? Please show all work below, including your null and alternative hypotheses, critical value, test value, and your conclusion.
Transcribed Image Text:A sociologist wants to see if it is true that for professional women, the average age at which they have their first child is 29 years. A random sample of 40 women is selected, and their ages at the birth of their first child is recorded. The mean of that sample was 31.2 years, and the standard deviation of the population is 4.18. At a = 0. 01, can you conclude that the evidence differs from her initial claim? Please show all work below, including your null and alternative hypotheses, critical value, test value, and your conclusion.
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