Math 227 - Statistics » Winter 2021 » Chapter 9 Test

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Question #1
A box of chocolates should weigh 16.4 ounces. A sample of 40 randomly selected boxes had a mean weight of 16.6 ounces, with a standard deviation of 0.4 ounces. At a 0.05 significance level, test the claim that the mean weight of these boxes is greater than 16.4 ounces. State the null and alternative hypotheses
A.   Ho: μ = 16.4 and H1: μ > 16.4
B.   Ho: μ ≠ 16.4 and H1: μ < 16.4
Question #2
A box of chocolates should weigh 16.4 ounces. A sample of 40 randomly selected boxes had a mean weight of 16.6 ounces, with a standard deviation of 0.4 ounces. At a 0.05 significance level, test the claim that the mean weight of these boxes is greater than 16.4 ounces. Compute test statistics. Round the answer to two decimal places.
A.   0.316
B.   3.61
C.   3.16
Question #3
A box of chocolates should weigh 16.4 ounces. A sample of 40 randomly selected boxes had a mean weight of 16.6 ounces, with a standard deviation of 0.4 ounces. At a 0.05 significance level, test the claim that the mean weight of these boxes is greater than 16.4 ounces. Compute the P value. Round your answer to four decimal places.
A.   .0015
B.   0.15
C.   0.015
Question #4
A box of chocolates should weigh 16.4 ounces. A sample of 40 randomly selected boxes had a mean weight of 16.6 ounces, with a standard deviation of 0.4 ounces. At a 0.05 significance level, test the claim that the mean weight of these boxes is greater than 16.4 ounces. Compute the critical value. Round your answer to four decimal places.
A.   1.6944
B.   1.6849
C.   1.6499
Question #5
A box of chocolates should weigh 16.4 ounces. A sample of 40 randomly selected boxes had a mean weight of 16.6 ounces, with a standard deviation of 0.4 ounces. At a 0.05 significance level, test the claim that the mean weight of these boxes is greater than 16.4 ounces. State the Decision.
A.   Reject the Ho
B.   Do not reject the Ho
Question #6
A box of chocolates should weigh 16.4 ounces. A sample of 40 randomly selected boxes had a mean weight of 16.6 ounces, with a standard deviation of 0.4 ounces. At a 0.05 significance level, test the claim that the mean weight of these boxes is greater than 16.4 ounces. Give the Conclucion.
A.   There is enough evidence to support the claim that the mean of boxes is greater than 16.4 ounces.
B.   There is not enough evidence to support the claim that the mean of boxes is greater than 16.4 ounces. 
Question #7
A medical researcher claims that less than 20% of American adults are allergic to Penicillin. In a random sample of 100 adults, 18 of them say they have such an allergy. Test the researcher's claim at α = 0.05. Assume that the original population is normally distributed. State the null and alternative hypotheses
A.   Ho: p ≠ 0.20 and p > 0.20
B.   Ho: p = 0.20 and H1: p < 0.20
Question #8
A medical researcher claims that less than 20% of American adults are allergic to Penicillin. In a random sample of 100 adults, 18 of them say they have such an allergy. Test the researcher's claim at α = 0.05. Assume that the original population is normally distributed. Compute test statistics. Round the answer to one decimal place.
A.   0.5
B.   -.5
C.   -0.05
Question #9
A medical researcher claims that less than 20% of American adults are allergic to Penicillin. In a random sample of 100 adults, 18 of them say they have such an allergy. Test the researcher's claim at α = 0.05. Assume that the original population is normally distributed. Compute the P value. Round your answer to four decimal places.
A.   -0.3085
B.   0.003085
C.   .3085
Question #10
A medical researcher claims that less than 20% of American adults are allergic to Penicillin. In a random sample of 100 adults, 18 of them say they have such an allergy. Test the researcher's claim at α = 0.05. Assume that the original population is normally distributed. Compute the critical value. Round your answer to three decimal places.
A.   -1.64
B.   1.654
C.   0.1645
Question #11
A medical researcher claims that less than 20% of American adults are allergic to Penicillin. In a random sample of 100 adults, 18 of them say they have such an allergy. Test the researcher's claim at α = 0.05. Assume that the original population is normally distributed. State the Decision.
A.   Reject the Ho
B.   Do not reject the Ho
Question #12
A medical researcher claims that less than 20% of American adults are allergic to Penicillin. In a random sample of 100 adults, 18 of them say they have such an allergy. Test the researcher's claim at α = 0.05. Assume that the original population is normally distributed. State the Conclusion.
A.   There is not enough evidence to support the claim that less than 20% of American adults are allergic to Penicillin.
B.   There is enough evidence to support the claim that less than 20% of American adults are allergic to Penicillin.
Question #13
The average gasoline prices from 110 randomly selected cities across the United States are listed below. 3.455 3.509 3.376 3.483 4.106 3.915 3.586 3.858 3.107 3.936 Test the claim that the standard deviation of gas prices across the country is $0.3. Assume normality, and use a 0.05 significance level. State the null and alternative hypotheses
A.   Ho: σ > 0.3 and H1: σ < 0.3
B.   Ho: σ = 0.3 and H1: σ ≠ 0.3
Question #14
The average gasoline prices from 110 randomly selected cities across the United States are listed below. 3.455 3.509 3.376 3.483 4.106 3.915 3.586 3.858 3.107 3.936 Test the claim that the standard deviation of gas prices across the country is $0.3. Assume normality, and use a 0.05 significance level. Compute test statistics. Round the answer to one decimal place.
A.   9.6
B.   9.5
C.   9.4
Question #15
The average gasoline prices from 110 randomly selected cities across the United States are listed below. 3.455 3.509 3.376 3.483 4.106 3.915 3.586 3.858 3.107 3.936 Test the claim that the standard deviation of gas prices across the country is $0.3. Assume normality, and use a 0.05 significance level. Compute the critical value on the left. Round your answer to one decimal place.
A.   2.5
B.   2.4
C.   2.7
Question #16
The average gasoline prices from 110 randomly selected cities across the United States are listed below. 3.455 3.509 3.376 3.483 4.106 3.915 3.586 3.858 3.107 3.936 Test the claim that the standard deviation of gas prices across the country is $0.3. Assume normality, and use a 0.05 significance level. Compute the critical value on the right . Round your answer to one decimal place.
A.   2.0
B.   19.0
C.   10.0
Question #17
The average gasoline prices from 110 randomly selected cities across the United States are listed below. 3.455 3.509 3.376 3.483 4.106 3.915 3.586 3.858 3.107 3.936 Test the claim that the standard deviation of gas prices across the country is $0.3. Assume normality, and use a 0.05 significance level. State the Decision.
A.   Do not reject the Ho
B.   Reject the Ho
Question #18
The average gasoline prices from 110 randomly selected cities across the United States are listed below. 3.455 3.509 3.376 3.483 4.106 3.915 3.586 3.858 3.107 3.936 Test the claim that the standard deviation of gas prices across the country is $0.3. Assume normality, and use a 0.05 significance level. State the Conclusion.
A.   There is not enough evidence to support the claim that the standard deviation of gas prices across the country is $0.3.
B.   There is enough evidence to support the claim that the standard deviation of gas prices across the country is $0.3.

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