A random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. This test result prompts a stateschool administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviationis 31. At a= 0.08, 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.O C. Ho: u= 260 (claim)O A. Ho: H= 260H u> 260 (claim)O B. Ho: us260Ha p> 260 (claim)Ha: p> 260OF. Ho: H<260H u2 260 (claim)O E. Ho: µs260 (claim)O D. Ho u2 260 (claim)Ha: H< 260Ha µ> 260(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.)sionalpdf(d) Decide whether to reject or fail to reject the null hypothesis.O Reject HoFail to reject Ho(e) Interpret your decision in the context of the original claim.the administrator's claim that the mean score for the state's eighth graders on theAt the 8% significance level, thereenough evidence toexam is more than 260.Click to select your answer(S).Search Textbook So.g Take a Test - Micha.w

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Description: A random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. This test result prompts a stateschool administrator to declare that the mean score for the state's eighth graders on this exam is

Given Information: Sample size (n) = 81 Sample mean (x¯) = 266 Population standard deviation (σ) =…

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Probability

A random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. 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 260. Assume that the population standard deviatior is 31. At a = 0.08, 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. O A. Ho: H= 260 Ha >260 (claim) O B. Ho: us260 H p> 260 (claim) O C. Ho: u= 260 (claim) Hu> 260 O D. Ho u2 260 (claim) Ha: H< 260 O E. Ho: us260 (claim) H p> 260 OF. Ho <260 H2260 (claim)

A random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. 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 260. Assume that the population standard deviatior is 31. At a = 0.08, 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. O A. Ho: H= 260 Ha >260 (claim) O B. Ho: us260 H p> 260 (claim) O C. Ho: u= 260 (claim) Hu> 260 O D. Ho u2 260 (claim) Ha: H< 260 O E. Ho: us260 (claim) H p> 260 OF. Ho <260 H2260 (claim)

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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