Six Hypothesis Problem Questions

Question 1In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels wasselected. It was determined that the average price of the rooms in the sample was $112. Thepopulation standard deviation is known to be $16. Use a 0.1 level of significance and determinewhether or not the average room price is significantly different from $108.50.a. a. Determine your hypotheses.b. b. Compute the test statistic.c. c. Whats the rejection rule?d. d. At the =.1 level of significance, your Critical Value ise. e. What conclusion can be drawn from this test at a 0.1 significance level?Select the correct answers for a, b, c, d, and e below.a. H0: = 112; Ha: 112a. H0: = 108.5; Ha: 108.5a. H0: >112; Ha: < 112a. H0: <108.5; Ha: >108.5b. 1.85b. -1.85b. 1.75b. 1.96c. Reject H0 if z>zc. Reject H0 if t>tc. Reject H0 if |z|>z/2c. Reject H0 if |t|>t /2d. 2.33d. 1.645d. 1.28d. 1.96e. There is enough evidence to reject Ho.e. There is not enough evidence to rejectHo.Question 2At a local university, a sample of 49 evening students was selected in order to determine whetherthe average age of the evening students is significantly different from 21. The average age of thestudents in the sample was 23 years. The population standard deviation is known to be 3.5 years.Determine whether or not the average age of the evening students is significantly different from21. Use a 0.1 level of significance.a. Determine your hypotheses.b. Compute the test statisticc. Whats the rejection rule?d. At the =.1 level of significance, your Critical Value ise. What conclusion can be drawn from this test at a 0.1 significance level?Select the correct answers for a, b, c, d, and e below.a. H0: >21; Ha: <21a. H0: <21; Ha: >1a. H0: = 21; Ha: 21b. 4b. 6b. -5b. -7c. Reject H0 if z>zc. Reject H0 if t>tc. Reject H0 if |z|>z/2c. Reject H0 if |t|>t /2d. 2.33d. 1.645d. 1.28d. 1.96e. There is enough evidence to reject Ho.e. There is not enough evidence to reject Ho.e. There is not enough evidence to do this hypothesistestQuestion 3According to a national survey, the average commuting time for people who commute to a citywith a population of 1 to 3 million is 19.0 minutes. Suppose a researcher lives in a city with apopulation of 2.4 million and wants to test this claim in her city. Taking a random sample of 20commuters she calculates a mean time of 19.346 minutes and a standard deviation of 2.842minutes. Assume the commute time is normally distributed.a. Determine your hypotheses.b. Compute the test statisticc. Whats the rejection rule?d. At the =.1 level of significance, your Critical Value ise. What conclusion can be drawn from this test at a 0.1 significance level?Select the correct answers for a, b, c, d, and e below.Answera. H0: <19, a: >19a. H0: >19, a: <19a. H0: = 19, a: 19b. 1.08b. 0.54b. -1.08b. -0.57c. Reject H0 if z>zc. Reject H0 if t>tc. Reject H0 if |z|>z /2c. Reject H0 if |t|>t /2d. 1.729d. 1.795d. 1.328d. 1.645e. There is enough evidence to reject Ho.e. There is not enough evidence to reject Ho.e. There is not enough evidence to do this hypothesistestQuestion 4Dullco Manufacturing claims that its alkaline batteries last at least forty hours on average in acertain type of portable CD player. But tests on a random sample of 18 batteries from a day’slarge production run showed a mean battery life of 37.8 hours with a standard deviation of 5.4hours. Conduct a test to refute DullCo’s hypothesis. Assume that the battery life is normallydistributed.a. Determine your hypotheses.b. Compute the test statisticc. Whats the rejection rule?d. At the =.01 level of significance, your Critical Value ise. What conclusion can be drawn from this test at a 0.01 significance level?Select the correct answers for a, b, c, d, and e below.Answera. H0: = 40; Ha: 40a. H0: <40; Ha: >40a. H0: >40; Ha: <40b. -1.980b. -1.728b. -2.101b. -1.960c. Reject H0 if z< -zc. Reject H0 if t< -tc. Reject H0 if |z|>z /2c. Reject H0 if |t|>t /2d. 2.33d. 2.575d. 2.567d. 1.96e. We would reject the claime. We would clearly fail to reject the claime. We would not be able to test this claimaccuratelyQuestion 5A random sample of 100 people was taken. Eighty of the people in the sample favored CandidateA. We are interested in determining whether or not the proportion of the population in favor ofCandidate A is significantly more than 75%. Set up a hypothesis test to see if you can findevidence to refute the claim that more than 75% of the residents favor candidate A.a. Determine your hypotheses.b. Compute the test statisticc. Whats the rejection rule?d. At the =.05 level of significance, your Critical Value ise. What conclusion can be drawn from this test at a 0.05 significance level?Select the correct answers for a, b, c, d, and e below.a. H0: p< 0.75 ; Ha: p> 0.75a. H0: p> 0.75 ; Ha: p< 0.75a. H0: p= 0.75 ; Ha: p 0.75b. 0.080b. 0.05b. 1.15b. 2.00c. Reject H0 if z< -zc. Reject H0 if t< -tc. Reject H0 if |z|>z /2c. Reject H0 if |t|>t /2d. 1.645d. 1.658d. 1.697d. 1.960e. There is enough evidence to reject Ho.e. There is not enough evidence to reject Ho.e. There is not enough evidence to do this hypothesistestQuestion 6An official of a large national union claims that the fraction of women in the union is notsignificantly different from one-half. Using the sample information reported below, carry out atest of this statement. Use a .05 level of significance.sample size (n):400Women:168Men:232a. Determine your hypotheses.b. Compute the test statisticc. Whats the rejection rule?d. At the =.05 level of significance, your Critical Value ise. What conclusion can be drawn from this test at a 0.05 significance level?Select the correct answers for a, b, c, d, and e below.Answera. H0: p< 0.5 ; Ha: p> 0.5a. H0: p> 0.5 ; Ha: p< 0.5a. H0: p= 0.5 ; Ha: p 0.5b. -4.5b. 4.9b. -3.2b. 2.02c. Reject H0 if z>zc. Reject H0 if t>tc. Reject H0 if |z|>z/2c. Reject H0 if |t|>t /2d. 1.645d. 1.658d. 1.697d. 1.96e. There is enough evidence to reject Ho.e. There is not enough evidence to reject Ho.e. There is not enough evidence to do this hypothesistest