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A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). ..... (a) Write the claim mathematically and identify H, and Ha. Choose the correct answer below. Ο c. Ho: μ< 275 Hai µ2 275 (claim) A. Ho μ< 275 B. Ho: µs 275 (claim) Ha: µ> 275 Ha: u> 275 (claim) Ο D. H0: μ= 275 (claim) Haiµ>275 Ο Ε. Η: μ= 275 Ha: µ> 275 (claim) ΟF H0: μ2 275 (claim) Ha:µ<275 (b) Find the standardized test statistic z, and its corresponding area. z= 1.41 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)

A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). ..... (a) Write the claim mathematically and identify H, and Ha. Choose the correct answer below. Ο c. Ho: μ< 275 Hai µ2 275 (claim) A. Ho μ< 275 B. Ho: µs 275 (claim) Ha: µ> 275 Ha: u> 275 (claim) Ο D. H0: μ= 275 (claim) Haiµ>275 Ο Ε. Η: μ= 275 Ha: µ> 275 (claim) ΟF H0: μ2 275 (claim) Ha:µ<275 (b) Find the standardized test statistic z, and its corresponding area. z= 1.41 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(e) Interpret your decision in the context of the original claim. At the 13% 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 270.
Transcribed Image Text:(e) Interpret your decision in the context of the original claim. At the 13% 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 270.
A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H, and Ha: Choose the correct answer below. А. Но: s275 Ha: µ> 275 (claim) В. Но: р$275 (claim) Ha: µ> 275 C. Ho: µ<275 Hai µ2 275 (claim) D. Ho: µ= 275 (claim) Ha: µ> 275 E. H0 μ=275 Hạ: µ> 275 (claim) O F. Ho: µ2 275 (claim) Haiu<275 (b) Find the standardized test statistic z, and its corresponding area. z= 1.41 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)
Transcribed Image Text:A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H, and Ha: Choose the correct answer below. А. Но: s275 Ha: µ> 275 (claim) В. Но: р$275 (claim) Ha: µ> 275 C. Ho: µ<275 Hai µ2 275 (claim) D. Ho: µ= 275 (claim) Ha: µ> 275 E. H0 μ=275 Hạ: µ> 275 (claim) O F. Ho: µ2 275 (claim) Haiu<275 (b) Find the standardized test statistic z, and its corresponding area. z= 1.41 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)
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