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2. 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

7. An engineering statistician wants to conduct a test to determine if there is a difference in the compression strength of two different manufactures of reinforced concrete columns. Each manufacturer has provided sample data for compression strength (column failure) as follows:

Manufacturer 1: mean compression strength is 956 KSI based on 30 samples with a standard deviation of 192 KSI.

Manufacturer 2: mean compression strength of 898 KSI based on 25 samples with a standard deviation of 256 KSI

Conduct a test at alpha equal to .01 to see if there is a difference between the two different manufacturers. Consider the data to be from two different populations.

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