Question

You wish to test the following claim (Hi) at a significance level of a = 0.02. H: = 42 H: > 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 = 26 with a mean of M1 = 68.6 and a standard deviation of SD = 14.7 from the first population. You obtain a sample of size n2 = 16 with a mean of M2 = 58.4 and a standard deviation of SD, = 8.8 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? (Report answer accurate to four decimal places.) p-value - The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null

Answer 1

sal: Criven, Hoille = H2 Heim > M 2 Me=26 XL - 68.6 S2 = 14.7. > na = 16 , X2 = 58.4, Sa B-B Test - statistic is- t = ( 82-te 68.6-5.814 2.81966 ll S13 S? (14,7) + Di + (8.812 16 32 26 tag. 813 P- value is :- n a=0.02, dt= Me +n2-2=40 P-value 0.0038 The P-value is less than (or equal to) a Reject the null hypothesis. option (A) is carroct.