An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was 675 with a population standard deviation of 75. A sample of 30 days reveals a daily mean revenue of 625. If you were to test the null hypothesis that the daily mean revenue was 675, which test would you use?
A) t test of a population proportion B) Z test of a population mean
C) t test of population mean D) Z test of a population proportion
Q. 2The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. What is the p-value associated with the test statistic?
A) 0.02 B) 0.1423 C) 0.3577 D) 0.0780
Q. 3The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. If she wants to have a level of significance at 0.01 what conclusion can she make?
A) There is sufficient evidence that the mean age of her customers is not greater than 30.
B) There is not sufficient evidence that the mean age of her customers is greater than 30.
C) There is sufficient evidence that the mean age of her customers is greater than 30.
D) There is not sufficient evidence that the mean age of her customers is not greater than 30.
Q. 4The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. If she wants to have a level of significance at 0.01, what decision should she make?
A) Do not reject H0.
B) Reject H0.
C) Reject H1.
D) We cannot tell what her decision should be from the information given.
Q. 5The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to have a level of significance at 0.01, what rejection region should she use?
A) Reject H0 if t < -2.5758. B) Reject H0 if t < -2.3263.
C) Reject H0 if t > 2.3263. D) Reject H0 if t > 2.5758.
Q. 6The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. The appropriate hypotheses to test are
A) H0 : X 30 versus H1 : X < 30. B) H0 : X 30 versus H1 : X > 30.
C) H0 : 30 versus H1 : > 30. D) H0 : 30 versus H1 : < 30.
Q. 7A ________ is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to reject the null hypothesis.
A) critical value B) significance level C) test statistic D) parameter
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