# Independent sample t test

A marketing firm asked a random set of married and single men as to how much they were willing to spend for a vacation. At = .05, is a difference in the two amounts?

Married men Single men

Sample size 50 70

Mean spending 260 185

Sample variance 4500 9000

A) Yes, because the test value 5.07 is outside the interval (-1.96, 1.96)

B) No, because the test value 2.00 is outside the interval (-1.96, 1.96)

C) No, because the test value 0.34 is inside the interval (-1.96, 1.96)

D) Yes, because the test value 2.00 is inside the interval (-1.96, 1.96)

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#### Solution Preview

Hypothesis Testing

A marketing firm asked a random set of married and single men as to how much they were willing to spend for a vacation. At = .05, is a difference in the two amounts?

Married men Single men

Sample size 50 70

Mean spending 260 185

Sample variance 4500 9000

A) Yes, because the test value 5.07 is outside the interval (-1.96, 1.96)

B) No, because the test value 2.00 is outside the ...

#### Solution Summary

The solution provides step by step method for the calculation of test statistic for comparing two population means . Formula for the calculation and Interpretations of the results are also included.