9:26 Hypothesis Test for Difference in Population Means (o Unknown) You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:41 = 12 Ha: µ1 # µ2 You believe both populations...

Extracted text: 9:26 Hypothesis Test for Difference in Population Means (o Unknown) You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:41 = 12 Ha: µ1 # µ2 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 n1 = 17 with a mean of M1 = 50.4 and a standard deviation of SD1 = 18.5 from the first population. You obtain a sample of size n2 = 16 with a mean of M2 = 36.4 and a standard deviation of SD2 = 10.3 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 to warrant rejection of the claim that the first population mean to the second population mean. not equal O There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. O The sample data support the claim that the first population mean is not equal to the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean to the second population mean. not equal A myopenmath.com – Private