Tracking the mean age of a first-time mother is of interest to researchers and the public since it can affect the total number of births a mother has in a lifetime, which in turn impacts the composition and growth of the US population. Back in 2016, the mean age of first-time mothers was 26.3 years. Researchers surveyed 952 US mothers and found that the mean first-time mother age is 28.2 years with a standard deviation of 1.03 years. Test the claim that the mean age of first-time mothers has not changed from 26.3 years. Assume the significance level is 0.01. The test ouptut is below: State the conclusion of this test. a. There is sufficient evidence that the mean age of first-time mothers has decreased from 26.3 years. b. There is sufficient evidence that the mean age of first-time mothers is different from 26.3 years. c. There is sufficient evidence that the mean age of first-time mothers has increased from 26.3 years. d. There is not sufficient evidence that the mean age of first-time mothers is different from 26.3 years. Interpret the p-value. a. There is a probability of less than 0.0001 that the mean age of first-time mothers is equal to 26.3. b. If the mean age of first-time mothers is greater than 26.3, then the probability of getting a sample mean of 28.2 or something more extreme is less than 0.0001. c. If the mean age of first-time mothers is equal to 26.3, then the probability of getting a sample mean of 28.2 or something more extreme is less than 0.0001. d. If the mean age of first-time mothers is less than 26.3, then the probability of getting a sample mean of 28.2 or something more extreme is less than 0.0001.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Tracking the mean age of a first-time mother is of interest to researchers and the public since it can affect the total number of births a mother has in a lifetime, which in turn impacts the composition and growth of the US population. Back in 2016, the mean age of first-time mothers was 26.3 years. Researchers surveyed 952 US mothers and found that the mean first-time mother age is 28.2 years with a standard deviation of 1.03 years. Test the claim that the mean age of first-time mothers has not changed from 26.3 years. Assume the significance level is 0.01. The test ouptut is below:

State the conclusion of this test.

	a.	There is sufficient evidence that the mean age of first-time mothers has decreased from 26.3 years.
	b.	There is sufficient evidence that the mean age of first-time mothers is different from 26.3 years.
	c.	There is sufficient evidence that the mean age of first-time mothers has increased from 26.3 years.
	d.	There is not sufficient evidence that the mean age of first-time mothers is different from 26.3 years.

Interpret the p-value.

	a.	There is a probability of less than 0.0001 that the mean age of first-time mothers is equal to 26.3.
	b.	If the mean age of first-time mothers is greater than 26.3, then the probability of getting a sample mean of 28.2 or something more extreme is less than 0.0001.
	c.	If the mean age of first-time mothers is equal to 26.3, then the probability of getting a sample mean of 28.2 or something more extreme is less than 0.0001.
	d.	If the mean age of first-time mothers is less than 26.3, then the probability of getting a sample mean of 28.2 or something more extreme is less than 0.0001.