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In: Statistics and Probability

You have been asked to determine if two different production processes have different mean numbers of...

You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a mean defined as μ1 and process 2 has a mean defined as μ2. The null and alternative hypotheses are Upper H 0​: μ1 − μ2 less than or equals ≤0 and Upper H 1 : mu 1 minus mu 2 greater than 0 H1: μ1−μ2>0. The process variances are unknown but assumed to be equal. Using random samples of 36 observations from process 1 and 49 observations from process​ 2, the sample means are 57 and 46 for populations 1 and 2 respectively. Complete parts a through d below.

a. Can you reject the null​ hypothesis, using a probability of Type I error alpha α equals=​0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 26?​

The test statistic is t = The critical value(s) is (are) ?

b.Can you reject the null​ hypothesis, using a probability of Type I error alpha α equals=​0.05, if the sample standard deviation from process 1 is 23 and from process 2 is 36?​

The test statistic is t = The critical value(s) is (are) ?

c.Can you reject the null​ hypothesis, using a probability of Type I error alpha α equals=​0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 35?​

The test statistic is t = The critical value(s) is (are) ?

d.Can you reject the null​ hypothesis, using a probability of Type I error alpha α equals=​0.05, if the sample standard deviation from process 1 is 14 and from process 2 is 44?

The test statistic is t = The critical value(s) is (are) ?

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orchestra answered 2 years ago
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