A diet book claims that Husbands and wives tend to eat the s

A diet book claims that \'Husbands and wives tend to eat the same amount of calories per day, on average, even though women generally require fewer calories than men.\' A sample of 30 husbands and wives found an average difference in calories of 112 calories. If the standard deviation of the differences between men and their wives is found to be 262 calories, test the hypothesis that the book is making at the .05 significance level.

Solution

H0:mu1 = mu2

Ha: mu1 > mu2

mu1 = average calories for men and mu2 for women

n = 30

mu1-mu2 = 112

Std dev = 262

Std error = 262/rt 30

= 47.83

t statistic = 112/47.83 = 2.341

p value = 0.01315

As p value < 0.05 reject null hypothesis.

Wives are eating less calories