A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean scorefor the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. 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 H₂. Choose the correct answer below.A. Ho: μ = 280 (claim)Ha:μ>280B. Ho: μ = 280H₂:μ> 280 (claim)D. Ho:μ≤280Ha:μ> 280 (claim)(b) Find the standardized test statistic z.z = 2.11 (Round to two decimal places as needed.)(c) Find the P-value.P-value = 0.017 (Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.Reject HoFail to reject HoE. Ho: μ≤280 (claim)Ha:μ> 280C. Ho: μ ≥280 (claim)Ha: μ< 280F. Ho: μ< 280Ha:μ ≥280 (claim)(e) Interpret your decision in the context of the original claim.At the 8% significance level, there is not enough evidence to reject 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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Answered: A random sample of 90 eighth grade…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that adults have IQ scores that are normally distributed with a mean of 103.8 and a standard deviation 15.7. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. The first quartile is
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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. ' O A. Ho: µs 275 Hai H> 275 (claim) B. H0: μ 275 c. Ho: μ 275 Ο Ε. Ho: μ = 275 Ha: µ> 275 (claim) OF H : μ2 275 (claim) Ha: µ<275
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Assume that adults have IQ scores that are normally distributed with a mean of 102.9 and a standard deviation 19.4. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is Type an integer or decimal rounded to one decimal place as needed.)

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