A survey asked respondents how many online “ friends” they have on networking sites such as Facebook. The following table presents the average number of friends for men and women along with the sample standard deviations and sample sizes. Assume the population variances for the number of friends per person are not equal.

a. Using α = 0.05, perform a hypothesis test to determine if the men average 10 more online friends than the women.

b. Approximate the p value using Table 5 in Appendix A and interpret the result.

c. Determine the precise p value using Excel and interpret the results.

d. Verify your results using PHStat.

e. What assumptions need to be made in order to perform this procedure?

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Sample mean Sample size Sample standard deviation Men 178.3 26 72.3 Women 144.6 23 56.9