You wish to test the following claim ("H_a) at a significance level of alpha = 0.01°. H_0: mu_1 = mu_2 'H_a: mu_1

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You Wish To Test The Following Claim H A At A Significance Level Of Alpha 0 01 H 0 Mu 1 Mu 2 H A Mu 1 Mu 2 1 (56 KiB) Viewed 21 times

You wish to test the following claim ("H_a) at a significance level of alpha = 0.01°. H_0: mu_1 = mu_2 'H_a: mu_1 <mu_2 You obtain the following two samples of data. Sample #1 94.1 54.7 78.1 51.3 57 41.6 57.6 46.6 47.1 62.1 71.6 19.5 54.2 33.9 58.5 64.9 48 85.8 83.3 48.7 44.7 64.9 57.1 34.6 67.1 74.5 45.6 26.3 21.2 55.2 57.6 11.8 35.9 44.2 59.3 66.9 35.2 45.6 60.8 60.5 50.9 69.1 46.1 55.7 50.7 57.1 32.5 42.1 37.1 61.4 54.7 61.4 59.2 32.5 64 41.1 72.5 34.6 61.9 53.7 35.2 61.4 44.7 15 42.6 83.3 41.1 42.6 83.3 58.7 26.3 85.8 17.5 69.1 49 85.8 71.6 Sample #2 62.3 62.3 65 61.4 57.4 46.4 70 57.8 51.4 55.8 41.7 57.4 60.9 41.7 63.4 52.7 58.9 43.9 53.9 59.7 64.6 56.3 54.7 62.6 58.3 73.2 55.8 56.1 64.3 60.9 52.5 58.1 50.9 68.3 69.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What 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 = The p-value is... O less than or equal to) alpha O greater than alpha This test statistic leads to a decision to... Oreject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. The sample data support the claim that the first population mean is less than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.