Question
Use the following information to answer questions 21 to 23: A random sample of 81 tourists in Chattanooga showed that they spent an average of
Use the following information to answer questions 21 to 23:
A random sample of 81 tourists in Chattanooga showed that they spent an average of $2,000 (in a week) with a standard deviation of $100, and a sample of 64 tourists in Orlando showed that they spent an average of $2050 (in a week) with a standard deviation of $144. We are interested in determining if there is any significant difference between the average expenditures of those who visited the two cities? Test the hypothesis at = 0.05 when.
1 is the average amount spent by tourists in Chattanooga.. 2 is the average amount spent by tourists in Orlando.
(Assume that the degrees of freedom is 107).
21. What is the appropriate hypothesis for this problem? (a). H0 : > 2 H1 : 1 2 (b). H0 : 1 = 2 H1 : 1 > 2 (c). H0 : 1 = 2 1 : 1 < 2 (d). H0 : 1 = 2 H1 : 2
22. What is the value of the test statistic? (a) -1.65 (b) -1.96 (c) -2.36 (d) -2.13
23. What is the conclusion? (a) Absolute value of the test statistic is less than the critical value, so we reject the null hypothesis. (b) Absolute value of the test statistic is less than the critical value, so we do not reject the null hypothesis. (c) Absolute value of the test statistic is greater than the critical value, so we reject the null hypothesis. (d) Absolute value of the test statistic is greater than the critical value, so we do not reject the null hypothesis.
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