In 1960, census results indicated that the age at which men in a certain region first married had a mean of
23.423.4
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 since then. Complete parts a through f below.
Question content area bottom
Part 1
a) Write appropriate hypotheses.
Upper H 0H0:
mu equals 23.4μ=23.4
Upper H Subscript Upper AHA:
mu greater than 23.4μ>23.4
Part 2
b) We plan to test our hypothesis by selecting a random sample of
4040
men who married for the first time last year. Do you think the necessary assumptions for inference are satisfied? Explain.
The independence condition
▼
satisfied and the Nearly Normal Condition
▼
can reasonably be assumed to be
is definitively
is definitively not
satisfied because
▼
the population is normal.
the sample size is large.
the population may not be normal.
the population is not normal.
the population is roughly normal.
Therefore, using the Student-t model for inference
▼
should be
may not be
reliable.