A May 8, 2008, report on National Public Radio (www.npr.org) noted that the average age of first- time mothers in the United States is slightly higher than 25 years. Suppose that a recently taken random sample of 57 first-time mothers from Missouri produced an average age of 23.90 years and that the pop- ulation standard deviation is known to be 4.80 years. a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean age of all first-time mothers in Missouri is less than 25 years. Will you reject the null hypothesis at a = .025? b. Test the hypothesis of part a using the critical-value approach and a = .025.

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A May 8, 2008, report on National Public Radio (www.npr.org) noted that the average age of first-
time mothers in the United States is slightly higher than 25 years. Suppose that a recently taken random
sample of 57 first-time mothers from Missouri produced an average age of 23.90 years and that the pop-
ulation standard deviation is known to be 4.80 years.
a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean
age of all first-time mothers in Missouri is less than 25 years. Will you reject the null hypothesis
at a = : .025?
b. Test the hypothesis of part a using the critical-value approach and a = = .025.
Transcribed Image Text:A May 8, 2008, report on National Public Radio (www.npr.org) noted that the average age of first- time mothers in the United States is slightly higher than 25 years. Suppose that a recently taken random sample of 57 first-time mothers from Missouri produced an average age of 23.90 years and that the pop- ulation standard deviation is known to be 4.80 years. a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean age of all first-time mothers in Missouri is less than 25 years. Will you reject the null hypothesis at a = : .025? b. Test the hypothesis of part a using the critical-value approach and a = = .025.
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