The following data represent the running times of films produced by two motion-picture companies. Test the hypothesis that the average running time of films produced by company 2 exceeds the average running time of films produced by company 1 by 8 minutes against the one-sided alternative that the difference is less than 8 minutes. Use a 0.10 level of significance and assume the distributions of times to be approximately normal with unequal variances. Company Time (minutes) 1 2 110 88 87 160 96 113 88 87 133 98 82 113 Let sample 1 be the company 1 films and let sample 2 be the company 2 films. State the null and alternative hypotheses. Ho: H1 H2 = H₁: H1-H2> -8 8 (Type integers or decimals. Do not round.) Find the test statistic. The test statistic is ☐ . (Round to two decimal places as needed.)

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I need help finding the test statistic, p-value, and whether or not to reject the null hypothesis. Please explain each step as well as you can. Thank you very much!

The following data represent the running times of films produced by two motion-picture companies. Test the hypothesis that the average running time of films produced by company 2 exceeds the
average running time of films produced by company 1 by 8 minutes against the one-sided alternative that the difference is less than 8 minutes. Use a 0.10 level of significance and assume the
distributions of times to be approximately normal with unequal variances.
Company
Time (minutes)
1
2
110 88
87 160
96 113 88
87 133
98 82 113
Let sample 1 be the company 1 films and let sample 2 be the company 2 films. State the null and alternative hypotheses.
Ho: H1 H2 =
H₁: H1-H2>
-8
8
(Type integers or decimals. Do not round.)
Find the test statistic.
The test statistic is ☐ . (Round to two decimal places as needed.)
Transcribed Image Text:The following data represent the running times of films produced by two motion-picture companies. Test the hypothesis that the average running time of films produced by company 2 exceeds the average running time of films produced by company 1 by 8 minutes against the one-sided alternative that the difference is less than 8 minutes. Use a 0.10 level of significance and assume the distributions of times to be approximately normal with unequal variances. Company Time (minutes) 1 2 110 88 87 160 96 113 88 87 133 98 82 113 Let sample 1 be the company 1 films and let sample 2 be the company 2 films. State the null and alternative hypotheses. Ho: H1 H2 = H₁: H1-H2> -8 8 (Type integers or decimals. Do not round.) Find the test statistic. The test statistic is ☐ . (Round to two decimal places as needed.)
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