Answer Happy

You wish to test the following claim (H1) at a significance level of a = 0.10. H.:M1 = M2 Hi:M1 < M2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size ni 21 with a mean of ū1 50.1 and a standard deviation of S1 18.3 from the first population. You obtain a sample of size n2 12 with a mean of 2 57.9 and a standard deviation of s2 = 9.7 from the second population. - = - a) What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = C) The p-value is... O less than (or equal to) a greater than a

d) This p-value leads to a decision to... O reject the null accept the null fail to reject the null e) As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O There is 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.