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A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. 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 34. At a = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). O B. Ho:µ2 280 (clalm) Ha:µ<280 O C. Ho:µ5 280 Ha:µ> 280 (claim) O A. Ho: p<280 Ha: μ2 280 (claim) Ο D . H: μ= 280 Ha: µ> 280 (claim) O E. Ho: us280 (claim) Hai µ> 280 O F. Ho: µ= 280 (claim) Hai u> 280 (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) %3D (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject H Reject Ho (e) Interpret your decision in the context of the original claim. At the 5% significance level, there enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 280

A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. 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 34. At a = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). O B. Ho:µ2 280 (clalm) Ha:µ<280 O C. Ho:µ5 280 Ha:µ> 280 (claim) O A. Ho: p<280 Ha: μ2 280 (claim) Ο D . H: μ= 280 Ha: µ> 280 (claim) O E. Ho: us280 (claim) Hai µ> 280 O F. Ho: µ= 280 (claim) Hai u> 280 (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) %3D (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject H Reject Ho (e) Interpret your decision in the context of the original claim. At the 5% significance level, there enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 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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A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. 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 34. At a = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). A. Ho:H<280 Ha: µ2 280 (claim) O B. Ho:µ2280 (clalm) Ha: H<280 O C. Ho:Hs 280 Hai µ> 280 (claim) Ο D. H: μ= 280 Ha: µ> 280 (claim) Ο Ε. H: μ< 280 (claim) Hạ: u> 280 O F. Ho: µ= 280 (claim) Ha: µ> 280 (b) Find the standardized test statistic z, and its corresponding area. Z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (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. At the 5% significance level, there enough evidence to the administrator's claim that the mean score for the state's eighth graders on the exam is more than 280
Transcribed Image Text:A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. 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 34. At a = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). A. Ho:H<280 Ha: µ2 280 (claim) O B. Ho:µ2280 (clalm) Ha: H<280 O C. Ho:Hs 280 Hai µ> 280 (claim) Ο D. H: μ= 280 Ha: µ> 280 (claim) Ο Ε. H: μ< 280 (claim) Hạ: u> 280 O F. Ho: µ= 280 (claim) Ha: µ> 280 (b) Find the standardized test statistic z, and its corresponding area. Z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (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. At the 5% significance level, there enough evidence to the administrator's claim that the mean score for the state's eighth graders on the exam is more than 280
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