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Name: A random sample of 85 eighth grade students' scores on a national mat
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam

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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A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. 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 270. Assume that the population standard deviation is 31. At α=0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).

(a) Write the claim mathematically and identify H0 and Ha.
Choose the correct answer below.

H0:μ≤270

Ha:μ>270(claim)

H0:μ=270

Ha:μ>270(claim)

H0:μ=270(claim)

Ha:μ>270

H0:μ≥270(claim)

Ha:μ<270

H0:μ≤270(claim)

Ha:μ>270

H0:μ<270

Ha:μ≥270(claim)

(b) Find the standardized test statistic z, and its corresponding area.

(Round to two decimal places as needed.)

P-value=

(Round to three decimal places as needed.)

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