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A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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. OA. Ho: H=285 (claim) B. Ho: 285 Ha: H>285 D. Ho: H=285 Ha: H>285 (claim) Ha: μ> 285 (claim) E. Ho: <285 Ha: μ2285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = 1.65 (Round to two decimal places as needed.) (c) Find the P-value. P-value (Round to three decimal places as needed.) OC. Ho: 2285 (claim) Ha: μ<285 OF. Ho: ≤285 (claim) H₂:μ>285

A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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. OA. Ho: H=285 (claim) B. Ho: 285 Ha: H>285 D. Ho: H=285 Ha: H>285 (claim) Ha: μ> 285 (claim) E. Ho: <285 Ha: μ2285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = 1.65 (Round to two decimal places as needed.) (c) Find the P-value. P-value (Round to three decimal places as needed.) OC. Ho: 2285 (claim) Ha: μ<285 OF. Ho: ≤285 (claim) H₂:μ>285

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 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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. OA. Ho: H=285 (claim) B. Ho: ≤285 Ha: H>285 (claim) H₂H>285 OD. Ho: H=285 H₂: H>285 (claim) OE. Ho: <285 Ha: 2285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z= 1.65 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) OC. Ho: 2285 (claim) H₂H<285 OF. Ho: HS285 (claim) H₂H>285
Transcribed Image Text:A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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. OA. Ho: H=285 (claim) B. Ho: ≤285 Ha: H>285 (claim) H₂H>285 OD. Ho: H=285 H₂: H>285 (claim) OE. Ho: <285 Ha: 2285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z= 1.65 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) OC. Ho: 2285 (claim) H₂H<285 OF. Ho: HS285 (claim) H₂H>285
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