1) ( 16 points) For each of the following, indicate which inference you would use. You do not need
to carry out any procedures.
a) A brokerage firm wants to see whether the type of account a customer has (Gold, Silver, or
platinum) helps predict the type of trades that customer makes (In person or online), based
on a random sample of trades over the past year. The appropriate procedure for this
inference would be ( check one)
t – test for a difference of two means
Chi – square test of association
Analysis of variance ( ANOVA) for difference of means
Regression test of slope or correlation
b) The same brokerage firm wants to know if the type of account (Gold, Silver, or Platinum)
helps predict the size of the account ( in dollars). The appropriate procedure for this
inference would be a (check one):
Z – test for a difference of two proportions
Chi – square test of association
Analysis of variance ( ANOVA) for difference in means
Regression test of slope or correlation
c) We are interested in whether or not the average cost of a house in Canton, NY is
significantly different from the National average of 265,000. The appropriate procedure for
this inference would be a ( check one)
Z – test for a difference of two proportions
Chi – squares test of association
t – test for one mean
Analysis of variance ( ANOVA ) for difference in means
d) A technology company wants to measure gender equality in the workplace by examining
whether male employees are more likely to receive a promotion in a given year than female
employees. The appropriate procedure for the inference would be a ( check one):
t – test for a difference of two means
Z – test for a difference of two proportions
Analysis of variance ( ANOVA ) for difference in means
Regression test of slope or correlation
2) (12 points) The output and hypotheses below are for a Chi – Square test of association
between survival and class in the sinking of Titanic. We will address the question of whether the
difference in survival rate by class of travel is statistically significant.
a) What theoretic distribution would be appropriate for inference about this proportion?
Normal
t with _______df
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