Question

The Stevens Honda-Olds automobile dealership often sells to husband-wife pairs. The manager would like to check whether the sales presentation is viewed any more or less favorably by the husbands than the wives. If it is, then some new training might be recommended for its salespeople. To check for differences, a random sample of husbands and their wives are asked (separately) to rate the sales presentation who helped them. The scale is 1 to 10, 10 being the best. The results are shown to the right. Assume Alpha = .05.  

t-Test: Paired Two Sample for Means
	Husband	Wife
Mean	6.40625	5.8125
Variance	1.6683468	2.1572581
Observations	32	32
Pearson Correlation	0.1604727
Hypothesized Mean Difference	0
df	31
t Stat	1.8727122
P(T<=t) one-tail	0.0352831
t Critical one-tail	1.6955188
P(T<=t) two-tail	0.0705662
t Critical two-tail	2.0395134

The ALTERNATE Hypothesis?

What is the P-Value?

What is the T-stat?

CONCLUSION (Technical)

CONCLUSION (Non-Technical - business explanation):

Answer 1

Let m1 denote the mean rate of the sales presented to men and m2 be the mean rate of the sales presented to women.

To test

Null hypothesis: Ho: m1=m2

Alternative Hypothesis: Ha: m1>m2

P- value: 1-P(T<=t one tail) = 1-0.0352831 = 0.9647169

T-stat: 1.8727122

Decision: Reject Ho if P-Value < alpha=0.05

Here P-Value > alpha.

Conclusion(Technical) We accept Ho and conclude that sales presentation are equally viewed by husband and wives

Conclusion (Non- Technical - business explanation) Sales presentation are equally viewed by both genders and new training is not recomended for its salespeople.