A sociologist wishes to explore the spending habits of men and
women over age 30 for a typical summer weekend in the Northeast. 40
people were surveyed. Test at alpha =1%. The following summary
statistics were determined from the sample. Spending habits in
dollars
Men Women
Mean 425 280
St dev 230 145
n 22 18
a) State the Null and Alternate Hypothesis in symbols and in
words. (3pts)
b) Calculate the expected results for the hypothesis test
sampling distribution, assuming the Null Hypothesis is true. (i.e.,
name of the sampling distribution, mean and standard error, ASSUME
POOLED STANDARD DEVIATIONS) (3pts)
c) Identify the standard distribution that best approximates the
sampling distribution. (1pts)
d) Formulate the decision rule(you can use either critical test
scores or p-values) (3pts)
e) Determine the statistical sample results, i.e., the
differences between the sample means, the pooled standard
deviation, the standard error, the test statistic, degrees of
freedom and p-value. (16pts)
f) Determine the conclusion in terms of the Null and Alternate
Hypotheses. What can the sociologist conclude about the spending
habits of men and women for a typical summer weekend in the
Northeast? 4pts)