(a) Can the consultant conclude at the 5% significance level that the
husband’s mean estimate for the family clothing expenditure is higher than 310
(b) Assume that the true population mean of the husband’s estimate is
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315 (dollars) and the true population standard deviation is 34 (dollars).
Calculate the probability of type II error of the hypothesis test
H0: μh = 310
HA: μh > 310
with a 5% significance level.
(c) Can the consultant conclude at the 5% significance level that the
majority (more than half) of wives believe that the family clothing expenditure
is not less than 320 (dollars)?
(d) Can the consultant conclude at the 5% significance level that the
husband’s mean estimate is higher than the wife’s mean estimate? (Hint: you
firstly have to decide the two samples are independent or paired.)
(e) Calculate 95% confidence interval for the population mean difference
between the husband’s estimate and wife’s estimate, and briefly describe what
the confidence interval tells you.
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