Marriage In 1960, census results indicated that the ageat which American men first married had a mean of23.3 years. It is widely suspected that young peopletoday are waiting longer to get married. We want to findout if the mean age of first marriage has increased duringthe past 40 years.a) Write appropriate hypotheses.b) We plan to test our hypothesis by selecting a randomsample of 40 men who married for the first time lastyear. Do you think the necessary assumptions forinference are satisfied? Explain.c) Describe the approximate sampling distribution modelfor the mean age in such samples.d) The men in our sample married at an average age of24.2 years, with a standard deviation of 5.3 years.What’s the P-value for this result?e) Explain (in context) what this P-value means.f) What’s your conclusion?
Marriage In 1960, census results indicated that the age
at which American men first married had a
23.3 years. It is widely suspected that young people
today are waiting longer to get married. We want to find
out if the mean age of first marriage has increased during
the past 40 years.
a) Write appropriate hypotheses.
b) We plan to test our hypothesis by selecting a random
sample of 40 men who married for the first time last
year. Do you think the necessary assumptions for
inference are satisfied? Explain.c) Describe the approximate sampling distribution model
for the mean age in such samples.
d) The men in our sample married at an average age of
24.2 years, with a standard deviation of 5.3 years.
What’s the P-value for this result?
e) Explain (in context) what this P-value means.
f) What’s your conclusion?
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