Question

In: Statistics and Probability

The following data summarizes a study of online expenditures of groups of male and female customers...

  1. The following data summarizes a study of online expenditures of groups of male and female customers for a particular web store. The population variances are known to be equal.  
  1. (5)Test whether the average expenditures of men are higher than women using alpha 0.10.
  2. (5) Test that the standard deviation of male customers is more than $94. Use alpha = 0.10.

MALE

FEMALE

Sample mean

$352

$310

Sample standard deviation

$95

$80

Sample size

13

16

Solutions

Expert Solution

a)

1. Null and Alternative Hypothesis:

H0:  The average expenditures of men are not higher than women

H1: The average expenditures of men are higher than women

i.e.

Thus we conclude that the average expenditures of men are not higher than women

b) Test for Single Variance:


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