Question

Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the dollar value of sales between the men and women he employs as sales associates. A sample of 40 days revealed the men sold a mean of $1,400 worth of appliances per day. For a sample of 50 days, the women sold a mean of $1,500 worth of appliances per day. Assume the sample standard deviation for men is $200 and for women $250. At the 0.05 significance level, can Mr. Sevits conclude that the mean amount sold per day is larger for the women? (Assume unequal variances. Report t test statistic, critical values in 4 decimals)

The steps for testing whether the population mean sales for women is greater than the population mean sales for men is listed below for a significance level of 0.05. Fill in the blanks.

Determine the rejection rule,

What is the numerator value for the test statistic, i.e. when you are calculating the test statistic, what value do you get for the numerator?_________

What is the denominator value for the test statistic? __________

Test statistic value :____________ (4 decimals)

Answer 1

Let, :- The mean amount sold per day for men

:-  The mean amount sold per day for women

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = -2.1082

Test Criteria :-
Reject null hypothesis if


DF = 87

Result :- Reject Null Hypothesis

Conclusion :- we Accept Alternative Hypothesis

There is sufficient evidence to support the claim that the mean amount sold per day is larger for the women.

what value do you get for the numerator?

What is the denominator value for the test statistic?