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Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=77, x 35.9 years, and s = 11.9 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.

Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=77, x 35.9 years, and s = 11.9 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n= 77, x= 35.9 years, and s = 11.9 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years. What are the hypotheses? O A. Ho: H#33 years H1: µ= 33 years B. Ho: H= 33 years H,: µ#33 years O C. Ho: u= 33 years H4: µ2 33 years O D. Ho: H= 33 years H:H< 33 years %3D Identify the test statistic. t D (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years. Click to select your answerlc)
Transcribed Image Text:Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n= 77, x= 35.9 years, and s = 11.9 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years. What are the hypotheses? O A. Ho: H#33 years H1: µ= 33 years B. Ho: H= 33 years H,: µ#33 years O C. Ho: u= 33 years H4: µ2 33 years O D. Ho: H= 33 years H:H< 33 years %3D Identify the test statistic. t D (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years. Click to select your answerlc)
Question Help T-Test A simple random sample of 56 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.32 and the sample standard deviation is 0.51. Use a 0.05 significance level and the given calculator display to test the claim that u<5.4 the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group? t= - 1.173853298 p= 0.1227559397 x = 5.32 Sx = 0.51 n= 56 Identify the P-value. (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. O B. Reject Ho. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. C. Reject Ho. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. D. Fail to reject Ho. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. What do the results suggest about the sample group? O A. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high. B. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high. O C. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is possible that the population has counts that are too high. O D. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is possible that the population has counts that are too high. Click to select your answer(s).
Transcribed Image Text:Question Help T-Test A simple random sample of 56 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.32 and the sample standard deviation is 0.51. Use a 0.05 significance level and the given calculator display to test the claim that u<5.4 the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group? t= - 1.173853298 p= 0.1227559397 x = 5.32 Sx = 0.51 n= 56 Identify the P-value. (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. O B. Reject Ho. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. C. Reject Ho. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. D. Fail to reject Ho. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. What do the results suggest about the sample group? O A. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high. B. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high. O C. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is possible that the population has counts that are too high. O D. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is possible that the population has counts that are too high. Click to select your answer(s).
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