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3. [0513.5 Points] PREVIOUS ANSWERS You may need to use the appropriate appendix table to answer this question. PRACTICE ANOTHER The following summary statistics are from random samples taken from two independent populations. Sample 1 Sample 2 r1220 r1230 1 2 X1=22.? X2: 20.]. 5 :13 5 :42 1 2 (a) What is the point estimate of the difference of population means between Population 1 and Population 2, that is of (5r, - #2)? x (b) What is the degrees of freedom for the t distribution? For this particular type of hypothesis test, you will always be provided with the correct degrees of freedom. For this problem 2 2 2 (i + i) (i + E)? n 1" 20 30 . . or: 1 2 = = 46.6. Enter this value, rounded DOWN to the nearest whole number, In the box below. 1 s 2 2 l s 2 2 1 2 32 2 1 422 2 (' i + (2 ) ' l * ' J n1 1 n1 n2 1 "2 19 20 29 30 degrees of Freedom : y (c) At 95% condence, what is the margin of error? (Round your answer to one decimal place.) :| (d) State the 95% condence interval for the difference of population means between Population 1 and Population 2r that is for {m - #2). Round your answers to one decimal place.) 4. [1/4 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A Consultant B n1 = 16 n, = 10 x1 = 6.84 *, = 6.27 $1 = 0.66 52 = 0.75 (a) Select the correct null and alternative hypotheses. OHO: H1 - H2 # 0 Ha: H1 - H2 = 0 OHO: H1 - H2 = 0 Ha : H 1 - Hz # 0 O Ho: H1 - H2 = 0 Ha: H1 - H2 20 OHo: H1 - H2 = 0 Ha: H1 - H2 > 0 OHO: H1 - H2> o Ha: H1 - H2 = 0 (b) Compute the value of the test statistic. (Round your answer to three decimal places.) 17.591 X ($1- 0.662 + 0.752 \\2 16 (c) For this problem: of 10 1 0.752 2 2 = 17.4. 1 0.662 2 15 16) 9 10 Using EXCEL and the exact degrees of freedom computed above, find the p-value. (Round your answer to four decimal places.) p-value = 1.894 X (d) At a = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Reject Ho. There is not sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Do not reject Ho. There is not sufficient evidence to conclude that the consultant with more experience has a higher population mean rating. O Do not Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population mean rating.5. [-/7.75 Points] DETAILS MY NOTES PRACTICE ANOTHER Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,470 1,458 Total 1,750 Rooms 1,800 (a) Select the correct hypotheses to test for evidence of an increase in the proportion of rooms occupied over the one-year period. (Let p, = population proportion of rooms occupied for current year and P2 = population proportion of rooms occupied for previous year.) o: P1 - P2 > 0 H. : P1 - P2 = 0 Ho: P1 - P2 = 0 H.: P1 - P2 * 0 Ho P1 - P2 = 0 H.: P1 - P2 0 (b) Calculate the point estimates of the proportion of hotel rooms occupied for each year? current previous (c) Calculate the test statistic. (Round your answer to two decimal places.) Use EXCEL to find the p-value. (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Do not reject Ho. There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Reject Ho. There is not sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Do not reject Ho. There is not sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. (d) Construct the 95% confidence interval estimate of the difference in population proportions of occupancy for the one-year period (current - previous). (Round your answers to four decimal places.) Do you think area officials would be pleased with the results? The 95% confidence interval -Select--- Vzero. This suggests that the occupancy rates for the current year are |--Select-- V than the occupancy rates for the previous year, therefore the officials would ---Select-- V pleased with the results. Submit Assignment Save Assignment Progress