The following data represents the running time of films produced by 2 motion picture companies. Assume these are independent samples
Company Time (in minutes)
Company 1 102 86 98 109 92
Company 2 81 165 97 134 92 87 114
Test the null hypothesis that the average running time of the films produced by company 2 exceeds the average running time of films produced by company 1 by an amount of 10 minutes. Test against the null hypothesis of a one sided alternative that the difference is more than 10 minutes. Use a .1 level of significance (alpha)
a) Perform the Hypothesis test at alpha = .1
b) Determine the confidence interval for the difference between the means at 90% CI