A study was done to examine whether the perception of service quality at hotels differed by gender. Hotels were randomly selected to rate service items on a 50point scale. The sum of the guest scores are provided in the table. Complete parts a and b.

Males Females
n 128 111
Mean 39.24 38.79
s 6.79 7.44

a. Construct a 95% confidence interval for the difference between the population mean service-rating scores given by male and female guests at the hotel.

the 95% confidences interval is ( , ) round to 3 decimal places as needed)

b. Use the interval, part a, to make an inference about whether the perception of service quality at hotels differs by gender. Choose from the options below

A. The perception differs, because the confidence interval includes zero.

B. The perception differs, because the confidence interval does not include include zero.

C. The perception does not differs, because the confidence interval does not include include zero.