The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 n1 = 50 n2 = 25 X1 = 13.6 *, = 11.6 01 = 2.4 07 = 3 (a) What is the point estimate of the difference between the two population means? (Use x, - X2.) (b) Provide a 90% confidence interval for the difference between the two population means. (Use x, - x2. Round your answers to two decimal places.) to (c) Provide a 95% confidence interval for the difference between the two population means. (Use x, - x, . Round your answers to two decimal places.) toConsider the following hypothesis test. Ho: H1 - H2 = 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n, = 80 n2 = 70 X1 = 104 *, = 106 01 =8.4 72 = 7.3 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? O Reject H . There is insufficient evidence to conclude that , - #2 = 0. O Reject Ho. There is sufficient evidence to conclude that My - H2 = 0. O Do not Reject Ho. There is sufficient evidence to conclude that #1 - 12 = 0. O Do not reject Ho. There is insufficient evidence to conclude that , - #2 * 0.Consider the following hypothesis test. Hi R , - H , =0 Hi Hi - H2 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n, = 70 n, = 60 X, = 102 X, = 104 J 1 = 8.7 7 7 = 7.9 (a) What is the value of the test statistic? (b) What is the p-value? (c) With a = 0.05, what is your hypothesis testing conclusion?Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The file named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted by Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $20 in Atlanta and $25 in Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston? State the hypotheses. (Let u, = mean hotel price in Atlanta and let (2 = mean hotel price in Houston.) Ho: M1 - H2 = 0 Ha: H1 - H2 = 0 Ho: H - H2 20 H. : H 1 - H2