Q. 1. A marketing firm recently studied number of times men and women who live alone that buy takeout dinners in a month. Two independent samples were taken one with 50 men and 55 women. Mean is 34.51 for men with a standard deviation of 3.48 and a mean of 29.44 with a standard deviation of 2.86. Conduct a two tailed hypothesis test at a significance level of .05 to see if two means are different.

2) Director of human resources at a large firm is comparing distance travelled to work by employees in their office in downtown Atlanta with distance for those in downtown Jacksonville office. A sample of 21 Atlanta employees Explain how y travel a mean of 452 miles per month, with a sample standard deviation of 39 miles. A sample of 18 Jacksonville employees Explain how y travel a mean of 399 miles per month, with a sample standard deviation of 33 miles. At 0.05 level of significance is there a difference in mean number of miles travelled between two groups?