You wish to test the following claim (R) at a significance level of 0.005. You o

Question

You wish to test the following claim (R) at a significance level of 0.005. You obtain the following two samples of data Sample #1 Sample #2 53.8 61.2 73.2 62.8 53.2 66.1 68.3 60.2 43.8 55.9 60.9 81.8 78.5 57.6 66.6 70.1 78.5 75.3 77.6 74.2 76.4 88.6 59.157.284.3 84.9 90.6 57.2 68.999.3 99.3 85.5 91.8 67.7 80.3 47.6 55.6 65 95.2 69.840.9 83.1 93.4 83.7 88.1 64.425 91.8 53.2 64.4 89.5 57.768.2 73.4 55.6 104.9 64 84 72.262.8409 53.2 80.6 63. 48.4 58.8 67.2 53.2 68.3 88.6 51.2 43.8 68.1 63.4 70.7 90.6 59.5 729 729 40.7 81.8 61.5 72.2 40.9 95.2 81.4 75.5 79.2 68.7 40.9 78.7 25 116 765 40.9 72.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic hat is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =

Explanation / Answer

We use excel to solve this question-

Therefore,

The test statistic for this sample is -1.446
The p-value for this sample is 0.0766

53.8 67.7 61.2 80.3 73.2 47.6 62.8 55.6 t-Test: Two-Sample Assuming Unequal Variances 53.2 65 66.1 95.2 Variable 1 Variable 2 68.3 69.8 Mean 66.96667 72.3439 60.2 40.9 Variance 150.5415 452.36 43.8 83.1 Observations 54 41 55.9 93.4 Hypothesized Mean Difference 0 60.9 83.7 df 60 81.8 88.1 t Stat -1.446 78.5 64.4 P(T<=t) one-tail 0.0766 57.6 25 t Critical one-tail 1.670649 66.6 91.8 P(T<=t) two-tail 0.153268 70.1 53.2 t Critical two-tail 2.000298 78.5 64.4 75.3 89.5 77.6 57.7 74.2 68.2 76.4 84.3 88.6 73.4 59.1 55.6 57.2 104.9 84.9 99.3 90.6 99.3 57.2 85.5 68.9 91.8 64 40.9 84 95.2 72.2 81.4 62.8 75.5 53.2 79.2 80.6 68.7 63.1 40.9 48.4 78.7 58.8 25 67.2 111.6 53.2 76.5 68.3 40.9 88.6 72.9 51.2 s2 452.36 43.8 68.1 63.4 70.7 90.6 59.5 72.9 72.9 40.7 81.8 61.5 72.2 s1 150.5415

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