A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of286. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders onthis exam is more than 280. Assume that the population standard deviation is 38. At α = 0.05, is there enough evidenceto 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.O A. Ho: μ≤280 (claim)H₂:μ>280O D. Ho: μ≤280Ha: μ> 280 (claim)O B. Ho: μ<280H₂:μ ≥280 (claim)O E. Ho: μ ≥280 (claim)H₂: μ<280O C. Ho: μ = 280 (claim)Ha:μ>280OF. Ho: μ = 280Ha: μ>280 (claim)

The sample size is 82, the sample mean is 286 and the population standard deviation is 38.

Answered: A random sample of 82 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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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 31 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=25.7 beats per minute. a. What is the difference between the pulse rate of 31 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 31 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 31 beats per minute significant? a. The difference is enter your response here beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is enter your response here standard deviations. (Round to two decimal places as needed.)
A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 286. 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 280. Assume that the population standard deviation is 30. At a=0.11, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). GILE z (a) Write the claim mathematically and identify Ho and H. Choose the correct answer below. OA. Ho: 280 OB. Ho: 280 (claim) H₂H>280 OC. Ho: HS280 (claim) H₂H>280 Ha 280 (claim) VE. Ho: 5280 QF. Ho 280 (claim) H:2280 (claim) 21 (b) Find the standardized test statistic z, and its corresponding area. NS Z= (Round to two decimal places as needed.) MI (b) Find the standardized test statistic z, and its corresponding area. The standardized test statistic is
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