It: "HYou believe both populations are normally distributed, butyou do not know the standard deviations for either. We willassume that the population variances are not equal.You obtain a sample of...

Extracted text: 9:27 Hypothesis Test for Difference in Population Means (o Unknown) You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho:41 = 42 T1 > It: "H You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal. You obtain a sample of size nj = 10 with a mean of M1 = 74.2 and a standard deviation of SD1 = 12.8 from the first population. You obtain a sample of size n2 = 26 with a mean of M2 = 79.3 and a standard deviation of SD2 = 20.3 from the second population. 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 conservative under-estimate for the degrees of freedom. The degrees of freedom is the minimum of n - 1 and n2 - 1. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence rejection of the claim that the first population mean is less than the second population mean. O There s not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O The sample data support the claim that the first population mean is less than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean. A myopenmath.com – Private