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8. A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 282. This test result prompts a state school. administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. OA. Ho: ≤280 Ha: H>280 (claim) O D. Ho: μ = 280 Z= (c) Find the P-value. OB. Ha: H>280 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) P-value= Ho: μ< 280 Ha: 2280 (claim) O E. Ho: H=280 (claim) H₂: H>280 (Round to three decimal places as needed.). OC. Ho: ≤280 (claim) H₂: H>280 OF. Ho: ≥280 (claim) Ha: μ<280

8. A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 282. This test result prompts a state school. administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. OA. Ho: ≤280 Ha: H>280 (claim) O D. Ho: μ = 280 Z= (c) Find the P-value. OB. Ha: H>280 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) P-value= Ho: μ< 280 Ha: 2280 (claim) O E. Ho: H=280 (claim) H₂: H>280 (Round to three decimal places as needed.). OC. Ho: ≤280 (claim) H₂: H>280 OF. Ho: ≥280 (claim) Ha: μ<280

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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8. A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 282. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. O A. Ho: μ≤280 Ha: μ> 280 (claim) O D. Ho: μ = 280 Z= (c) Find the P-value. Ha: μ> 280 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) P-value= B. Ho: μ< 280 At the 3% significance level, there (1) graders on the exam is more than 280. (1) O is not (2) O is Ha: μ ≥280 (claim) O E. Ho: μ = 280 (claim) Ha:μ> 280 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject Ho Reject Ho (e) Interpret your decision in the context of the original claim. support reject enough evidence to (2) O C. Ho: μ≤280 (claim) Ha:μ> 280 OF. Ho: μ ≥280 (claim) Ha:μ< 280 the administrator's claim that the mean score for the state's eighth
Transcribed Image Text:8. A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 282. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. O A. Ho: μ≤280 Ha: μ> 280 (claim) O D. Ho: μ = 280 Z= (c) Find the P-value. Ha: μ> 280 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) P-value= B. Ho: μ< 280 At the 3% significance level, there (1) graders on the exam is more than 280. (1) O is not (2) O is Ha: μ ≥280 (claim) O E. Ho: μ = 280 (claim) Ha:μ> 280 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject Ho Reject Ho (e) Interpret your decision in the context of the original claim. support reject enough evidence to (2) O C. Ho: μ≤280 (claim) Ha:μ> 280 OF. Ho: μ ≥280 (claim) Ha:μ< 280 the administrator's claim that the mean score for the state's eighth
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