Math 136 - Introduction to Statistics » Fall 2021 » Homework 15 HYPOTHESIS TESTING TESTING THE POPULATION MEAN SIGMA UNKNOWN

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Question #1
Use a significance level of α = 0.05 to test the claim that μ = 32.6. The sample data consist of 15 scores for which x¯ = 39 and s = 7.8. Use the traditional method of testing hypotheses. Find the claim for the question above
A.   H0: μ ≠ 32.6, H1: μ = 32.6
B.   H0: μ = 32.6, H1: μ ≠ 32.6
C.   H0: μ ≥ 32.6, H1: μ < 32.6
D.   H0: μ = 32.6, H1: μ > 32.6
Question #2
Use a significance level of α = 0.05 to test the claim that μ = 32.6. The sample data consist of 15 scores for which x¯ = 39 and s = 7.8. Use the traditional method of testing hypotheses. Find the claim for the question above Find the critical values for the question above
A.   t = 2.145
B.   t = ±2.145
C.   t = -2.145
D.   t = ±1.245
Question #3
Use a significance level of α = 0.05 to test the claim that μ = 32.6. The sample data consist of 15 scores for which x¯ = 39 and s = 7.8. Use the traditional method of testing hypotheses. Find the test statistics for the question above
A.   3.18
B.   4.18
C.   1.18
D.   2.18
Question #4
Use a significance level of α = 0.05 to test the claim that μ = 32.6. The sample data consist of 15 scores for which x¯ = 39 and s = 7.8. Use the traditional method of testing hypotheses. Select the conclusion for the question above
A.   Fail to reject Ho
B.   Reject Ho
Question #5
A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. Find the claim for the question above
A.   H0: μ = 35.0, H1: μ ≠ 35.0
B.   H0: μ = 35.0, H1: μ > 35.0
C.   H0: μ ≥ 35.0, H1: μ < 35.0
D.   H0: μ ≠ 35.0, H1: μ = 35.0
Question #6
A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. Find the critical values for the question above
A.   t = -2.861
B.   t = ±2.168
C.   t = ±2.861
D.   t = 2.861
Question #7
A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. Find the test statistics for the question above
A.   3.252
B.   2.752
C.   7.252
D.   5.572
Question #8
A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. Select the conclusion for the question above
A.   Reject Ho
B.   Fail to reject Ho
C.     
Question #9
A researcher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that x¯ = 21.5 months and s = 7.4 months. Test the claim that μ = 18.7 months at the 0.05 significance level. Use the traditional method of testing hypotheses. Find the claim for the question above
A.   H0: μ ≥ 18.7, H1: μ < 18.7
B.   H0: μ = 18.7, H1: μ ≠ 18.7
C.   H0: μ = 18.7, H1: μ > 18.7
D.   H0: μ ≠ 18.7, H1: μ = 18.7
Question #10
A researcher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that x¯ = 21.5 months and s = 7.4 months. Test the claim that μ = 18.7 months at the 0.05 significance level. Use the traditional method of testing hypotheses. Find the critical values for the question above
A.   t = -2.228
B.   t = ±2.822
C.   t = ±2.228
D.   t = 2.228
Question #11
A researcher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that x¯ = 21.5 months and s = 7.4 months. Test the claim that μ = 18.7 months at the 0.05 significance level. Use the traditional method of testing hypotheses. Find the test statistics for the question above
A.   3.25
B.   4.25
C.   1.25
D.   2.25
Question #12
A researcher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that x¯ = 21.5 months and s = 7.4 months. Test the claim that μ = 18.7 months at the 0.05 significance level. Use the traditional method of testing hypotheses. Select the conclusion for the question above
A.   Reject Ho
B.   Fail to reject Ho
Question #13
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 Test the claim at the 0.01 significance level. Find the claim for the question above
A.   H0: μ = 8oz, H1: μ ≠ 8oz
B.   H0: μ ≠ 14oz, H1: μ = 14oz
C.   H0: μ = 14oz, H1: μ ≠ 14oz
D.   H0: μ ≠ 8oz, H1: μ = 8oz
Question #14
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 Test the claim at the 0.01 significance level. Find the critical values for the question above
A.   t =3.499
B.   t = -3.499
C.   t = ±4.399
D.   t = ±3.499
Question #15
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 Test the claim at the 0.01 significance level. Find the test statistics for the question above
A.   0.408 
B.   0.608
C.   0.808
D.   0.208
Question #16
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 Test the claim at the 0.01 significance level. Select the conclusion for the question above
A.   Fail to reject Ho
B.   Reject Ho
Question #17
In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours) between failures. 518 548 561 523 536 499 538 557 528 563 At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is greater than 520 hours. Use the P-value method of testing hypotheses. Find the claim for the question above
A.   H0: μ = 520 hrs, H1: μ > 520 hrs
B.   H0: μ ≠ 520 hrs, H1: μ = 520 hrs
C.   H0: μ = 520 hrs, H1: μ < 520 hrs
D.   H0: μ = 520 hrs, H1: μ ≠ 520 hrs
Question #18
In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours) between failures. 518 548 561 523 536 499 538 557 528 563 At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is greater than 520 hours. Use the P-value method of testing hypotheses. Find the test statistics for the question above
A.   2.612 
B.   6.112
C.   6.212
D.   4.222
Question #19
In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours) between failures. 518 548 561 523 536 499 538 557 528 563 At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is greater than 520 hours. Use the P-value method of testing hypotheses. Select the conclusion for the question above
A.   Reject Ho
B.   Fail to reject Ho

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