3. In 2014, according to the National Center for Health Statistics, the age at which American men first married had a mean of 28.9 years. A researcher believes that the mean age of first marriage for American men has increased since then. She obtains a random sample of 40 married American men who married for the first time last year. The men in the sample married at a mean age of 30.5 years, with a standard deviation of 5.3 years. Using the classical approach, perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the mean age of first marriage for American men has increased since 2014. H, : H : Verify any requirements for this test: Show work and draw a sketch, shading the critical region Show (above) your critical value at the given level of significance t 'crit and show your sample test statistic t, Determine and interpret the p-value: p-value = Clearly state your conclusion:

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3. In 2014, according to the National Center for Health Statistics, the age at which American men first married had
a mean of 28.9 years. A researcher believes that the mean age of first marriage for American men has
increased since then. She obtains a random sample of 40 married American men who married for the first time
last year. The men in the sample married at a mean age of 30.5 years, with a standard deviation of 5.3 years.
Using the classical approach, perform a Hypothesis Test using a = 0.05 level of significance, and determine if
there is evidence to conclude that the mean age of first marriage for American men has increased since 2014.
H, :
H :
Verify any requirements for this test:
Show work and draw a sketch, shading the critical region
Show (above) your critical value at the given level of significance t
'crit
and show your sample test statistic t,
Determine and interpret the p-value:
p-value =
Clearly state your conclusion:
Transcribed Image Text:3. In 2014, according to the National Center for Health Statistics, the age at which American men first married had a mean of 28.9 years. A researcher believes that the mean age of first marriage for American men has increased since then. She obtains a random sample of 40 married American men who married for the first time last year. The men in the sample married at a mean age of 30.5 years, with a standard deviation of 5.3 years. Using the classical approach, perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the mean age of first marriage for American men has increased since 2014. H, : H : Verify any requirements for this test: Show work and draw a sketch, shading the critical region Show (above) your critical value at the given level of significance t 'crit and show your sample test statistic t, Determine and interpret the p-value: p-value = Clearly state your conclusion:
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