question archive 1) In hypothesis testing, the null hypothesis should contain the equality sign A
1) In hypothesis testing, the null hypothesis should contain the equality sign A
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1) In hypothesis testing, the null hypothesis should contain the equality sign
A. True
B. False
2. The null and alternate hypotheses must be opposites of each other.
A. True
B. False
3. A one-tailed hypothesis for a population mean with a significance level equal to .05 will have a critical value equal to z = 0.45.
A. True
B. False
4. If a hypothesis test is conducted for a population mean, a null and alternative hypothesis of the form:
H0 : μ = 100
H1 : μ ≠ 100
will result in a one-tailed hypothesis test since the sample result can fall in only one tail.
A. True
B. False
5. The following is an appropriate statement of the null and alternate hypotheses for a test of a population mean:
H0 : μ < 50
H1 : μ > 50
A. True
B. False
6. A local medical center has advertised that the mean wait for services will be less than 15 minutes. Given this claim, the hypothesis test for the population mean should be a one-tailed test with the rejection region in the lower (left-hand) tail of the sampling distribution.
A. True
B. False
7. A local medical center has advertised that the mean wait for services will be less than 15 minutes. Given this claim, the hypothesis test for the population mean should be a one-tailed test with the rejection region in the upper (right-hand) tail of the sampling distribution.
A. True
B. False
8. A local medical center has advertised that the mean wait for services is 15 minutes. Given this claim, the hypothesis test for the population mean should be a two-tailed test with the rejection region in both (left and right-hand) tail of the sampling distribution.
A. True
B. False
9. A large tire manufacturing company has claimed that its top line tire will average more than 80,000 miles. If a consumer group wished to test this claim, they would formulate the following null and alternative hypotheses:
H0 : μ ≥ 80,000
H1 : μ ≠ 80,000
A. True
B. False
10. A large tire manufacturing company has claimed that its top line tire will average more than 80,000 miles. If a consumer group wished to test this claim, they would formulate the following null and alternative hypotheses:
H0 : μ = 80,000
H1 : μ ≠ 80,000
A. True
B. False
11. A large tire manufacturing company has claimed that its top line tire will average more than 80,000 miles. If a consumer group wished to test this claim, they would formulate the following null and alternative hypotheses:
H0 : μ ≤ 80,000
H1 : μ > 80,000
A. True
B. False
12. A report recently published in a major business periodical stated that the average salary for female managers is less than $50,000. If we were interested in testing this, the following null and alternative hypotheses would be established:
H0 : μ ≥ 50,000
H1 : μ < 50,000
A. True
B. False
13. A report recently published in a major business periodical stated that the average salary for female managers is less than $50,000. If we were interested in testing this, the following null and alternative hypotheses would be established:
H0 : μ > 50,000
H1 : μ < 50,000
A. True
B. False
14. The police chief in a local city claims that the average speed for cars and trucks on a stretch of road near a school is at least 45 mph. If this claim is to be tested, the null and alternative hypotheses are:
H0 : μ < 45 mph
H1 : μ ≥ 45 mph
A. True
B. False
15. The police chief in a local city claims that the average speed for cars and trucks on a stretch of road near a school is at least 45 mph. If this claim is to be tested, the null and alternative hypotheses are:
H0 : μ ≥ 45 mph
H1 : μ < 45 mph
A. True
B. False
16. When a battery company claims that their batteries last longer than 100 hours and a consumer group wants to test this claim, the hypotheses should be:
H0 : μ ≤ 100
H1 : μ > 100
A. True
B. False
17. The executive director of the United Way believes that more than 24 percent of the employees in the high-tech industry have made voluntary contributions to the United Way. In order to test this statistically, the appropriate null and alternative hypotheses are:
H0 : p ≤ 0.24
H1 : p > 0.24
A. True
B. False
18. Which of the following would be an appropriate null hypothesis?
A. The mean of a sample is greater than 55.
B. The mean of a population is greater than 55.
C. The mean of a population is equal to 55.
D. The mean of a sample is equal to 55.
19. If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000. The best null hypothesis is:
A. μ = 25,000.
B. μ ≤ 25,000.
C. μ ≥ 25,000.
D. μ > 25,000.
20. A hypothesis test is to be conducted using an alpha = .05 level. This means:
A. there is a 5 percent chance that the null hypothesis is true.
B. there is a maximum 5 percent chance that a true null hypothesis will be rejected
C. there is a 5 percent chance that a Type II error has been committed.
D. there is a 5 percent chance that the alternative hypothesis is true.
21. The reason for using the t-distribution in a hypothesis test about the population mean is:
A. the population standard deviation is unknown.
B. it provides a smaller critical value than the standard normal distribution for a given sample size.
C. the population is not normally distributed.
D. no reason
22. A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces. The population standard deviation is known to be 0.20 ounces. Assuming that the hypothesis test is to be performed using 0.10 level of significance and a random sample of n = 64 bottles, which of the following would be the upper tail (right-tailed) critical value?
A. z=1.96
B. z=1.28
C. z=2.575
D. z=1.645
23. A company that makes shampoo wants to test whether the average amount of shampoo per bottle is greater than 16 ounces. The standard deviation is known to be 0.20 ounces. Assuming that the hypothesis test is to be performed using 0.10 level of significance and a random sample of n = 64 bottles, which of the following would be the upper tail (right-tailed) critical value?
A. z=1.96
B. z=1.285
C. z=2.575
D. z=1.645
24. A company that makes shampoo wants to test whether the average amount of shampoo per bottle is less than 16 ounces. The standard deviation is known to be 0.20 ounces. Assuming that the hypothesis test is to be performed using 0.025 level of significance and a random sample of n = 64 bottles, which of the following would be the left tail critical value?
A. z= -1.96
B. z= -1.285
C. z= -2.575
D. z= -1.645
25. When testing a two-tailed hypothesis using a significance level of 0.05, a sample size of n = 16, and with the population standard deviation unknown, which of the following is true?
A. The alpha probability must be split in half and a rejection region must be formed on both sides of the sampling distribution.
B. The test statistic will be a t-value.
C. The null hypothesis can be rejected if the sample mean gets too large or too small compared with the hypothesized mean
D. All of the above are true.
26. When testing a two-tailed hypothesis using a significance level of 0.05, a sample size of n = 16, and with the population standard deviation unknown, what is/are the critical value(s)
A. 2.120
B. 2.131
C. 1.753
D. 1.746
27. When testing a left-tailed hypothesis using a significance level of 0.05, a sample size of n = 7, and with the population standard deviation unknown, what is the critical value?
A. -1.943
B. 1.943
C. 1.895
D. -2.447
28. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n = 13, and with the population standard deviation unknown, what is the critical value?
A. 2.179
B. 2.160
C. 2.681
D. 2.650
29. When testing a two-tailed hypothesis using a significance level of 0.02, a sample size of n = 13, and with the sample standard deviation=25, what is the critical value?
A. 2.681
B. 2.650
C. 2.160
D. 2.492
30. A house cleaning service claims that it can clean a four bedroom house in less than 2 hours. A sample of n = 16 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours. Significance level is 0.05.
Find the critical value.
A. -1.753
B. -1.645
C. -1.746
D. -1.275
31. A house cleaning service claims that it can clean a four bedroom house in less than 2 hours. A sample of n = 16 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours. Significance level is 0.05.
Write the value of test statistic.
A. -1.20
B. -1.02
C. 1.20
D. 1.02
32. A house cleaning service claims that it can clean a four bedroom house in less than 2 hours. A sample of n = 16 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours.
Write the decision to Reject H0 or Fail to Reject H0.
A. Fail to Reject H0
B. Reject H0
C. Fail to Reject H1
D. Reject H1
33. A house cleaning service claims that it can clean a four bedroom house in less than 2 hours. A sample of n = 16 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours.
Write the interpretation base on the decision
A. There is not enough evidence to support the claim
B. There is enough evidence to support the claim
C. There is not enough evidence to reject the claim
D. There is enough evidence to reject the claim
34. Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food. The appropriate null and alternate hypotheses are:
A. H0 : ρ = 0.25 H1: ρ ≠ 0.25
B. H0 : p ≥ 0.25 H1 : p < 0.25
C. H0 : p ≤ 0.25 H1 : p > 0.25
D. H0 : μ = 0.25 Ha : μ ≠ 0.25
35. Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?
A. z= - 2.575 and z=+ 2.575
B. z= -1.285 and z= +1.285
C. z= -1.96 and z= +1.96
D. z= -1.645 and z= +1.96
36. Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the value of the test statistic?
A. Z statistic=0.462
B. Z statistic=0.475
C. Z statistic= -0.462
D. Z statistic= -0.475
37. Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Significance level is at 0.05. Based upon this information, what is the decision?
A. Fail to reject H0
B. Fail to Reject H1
C. Reject H0
D. Reject H1
38. Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Significance level is at 0.05. Based upon this information, what is the interpretation?
A. There is enough evidence to Reject the claim
B. There is enough evidence to Support the claim
C. There is NOT enough evidence to Reject the claim
D. There is NOT enough evidence to Support the claim
39. YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The p-value for this hypothesis test would be ______
A. 0.0446
B. 0.0719
C. 0.0245
D. 0.0150
40. Breyers is a major producer of ice cream and would like to test the hypothesis that the average Malaysian adult consumes more than 17 ounces if ice cream per month. A random sample of 15 Malaysian adults was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set significance level at 0.10. The conclusion for this hypothesis test would be that because the test statistic is_________
A. less than the critical value, we cannot conclude that the average amount of ice cream consumed per month is greater than 17 ounces
B. less than the critical value, we can conclude that the average amount of ice cream consumed per month is greater than 17 ounces
C. more than the critical value, we can conclude that the average amount of ice cream consumed per month is greater than 17 ounces
D. more than the critical value, we can conclude that the average amount of ice cream consumed per month is not greater than 17 ounces
