A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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. OA. Ho: H=285 (claim) B. Ho: 285 Ha: H>285 D. Ho: H=285 Ha: H>285 (claim) Ha: μ> 285 (claim) E. Ho: <285 Ha: μ2285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = 1.65 (Round to two decimal places as needed.) (c) Find the P-value. P-value (Round to three decimal places as needed.) OC. Ho: 2285 (claim) Ha: μ<285 OF. Ho: ≤285 (claim) H₂:μ>285
A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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. OA. Ho: H=285 (claim) B. Ho: 285 Ha: H>285 D. Ho: H=285 Ha: H>285 (claim) Ha: μ> 285 (claim) E. Ho: <285 Ha: μ2285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = 1.65 (Round to two decimal places as needed.) (c) Find the P-value. P-value (Round to three decimal places as needed.) OC. Ho: 2285 (claim) Ha: μ<285 OF. Ho: ≤285 (claim) H₂:μ>285
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
![A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score
of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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.
OA. Ho: H=285 (claim)
B. Ho: ≤285
Ha: H>285 (claim)
H₂H>285
OD. Ho: H=285
H₂: H>285 (claim)
OE. Ho: <285
Ha: 2285 (claim)
(b) Find the standardized test statistic z, and its corresponding area.
z= 1.65 (Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three decimal places as needed.)
OC. Ho: 2285 (claim)
H₂H<285
OF. Ho: HS285 (claim)
H₂H>285](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe972d51b-2224-4be4-8bad-e8c2c8109cd2%2Fdf33117f-79d2-4e6a-aba7-f51c875450f0%2Fb8yqf09_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score
of 292. 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 285. Assume that the population standard deviation is 39. At a = 0.09, 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.
OA. Ho: H=285 (claim)
B. Ho: ≤285
Ha: H>285 (claim)
H₂H>285
OD. Ho: H=285
H₂: H>285 (claim)
OE. Ho: <285
Ha: 2285 (claim)
(b) Find the standardized test statistic z, and its corresponding area.
z= 1.65 (Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three decimal places as needed.)
OC. Ho: 2285 (claim)
H₂H<285
OF. Ho: HS285 (claim)
H₂H>285
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