Question

please solve #6,7, & 8

please solve step by step and by hand and show all the details please, thanks in advance

BILL UNU I JUMU U The American Medical Association 301:165-1/4 6. Watching television: The General Social Survey reported that in a sample of 68 men and hours of television watched per day was 2.76 with a standard deviation of 2.21. In a sample ported that in a sample of 68 men aged 18-25, the mean number of mean number of hours of television watched per day was 2.88 with a standard deviation of 2.43. a standard deviation of 2.21. In a sample of 72 women aged 18-25, the television watched per day was 2.88 with a standard deviation of 2.43. Can you conclude that the mean number of hours of television watched differs between men and women? Use the utched differs between men and women? Use the a = 0.05 level of significance. 7. Spreadsheets: An accounting firm tested two spreadsheet applications to determin tested two spreadsheet applications to determine whether there is a difference between them in the mean speed with which a standard accounting problem can be solved. The unica accountants to solve the problem are as follows: Application 1 42 50 2 3 4 5 34 45 35 40 43 48 31 39 Accountant 6 7 8 9 10 11 12 44 48 49 41 33 31 38 56 45 60 46 47 3350 B Can you conclude that the mean time differs between the two applications? Use the a = 0.05 level of significance. 8. Meeting specifications: Two extrusion machines that manufacture steel rods are being compared. In a sample of 1000 rods taken from machine A, 960 met specifications regarding length and diameter. In a sample of 600 rods taken from machine B, 582 met the specifications. Machine B is more expensive to run, so it is decided that machine A will be used unless it can be convincingly shown that machine B produces a larger proportion of rods meeting specifications. a. State the appropriate null and alternate hypotheses for making the decision as to which machine to use. b. Perform a hypothesis test at the a = 0.05 level to determine which machine to use. State your conclusion. f hunthesis test for the

Answer 1

(6) Null hypothesis: That is, the mean number of hours of television watched is same for men and women Alternative hypothesis: H h That is, the mean number of hours oftelevision watched differs between men and women Rejection rule: If p-values a(=0.05), then reject the null hypothesis Ho

--Meandifference t= 2 S1 + 2.76-2.88-0 2.212 2.43 + 68 72 -0.12 V0.071825+0.0820125 -0.12 0.3922 -0.31 The value of the test statistic is t-0.31 The critical values are -1.9774,1.9774 Conclusion: Since f (0.31)> -19774), then do not rjeect the null hypothesis. rit Therefore, we can not conclude that the mean number of hours of television watched differs between men and women