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. Ο c. Ho: μ< 275 Hai µ2 275 (claim) A. Ho μ< 275 B. Ho: µs 275 (claim) Ha: µ> 275 Ha: u> 275 (claim) Ο D. H0: μ= 275 (claim) Haiµ>275 Ο Ε. Η: μ= 275 Ha: µ> 275 (claim) ΟF H0: μ2 275 (claim) Ha:µ<275 (b) Find the standardized test statistic z, and its corresponding area. z= 1.41 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)
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. Ο c. Ho: μ< 275 Hai µ2 275 (claim) A. Ho μ< 275 B. Ho: µs 275 (claim) Ha: µ> 275 Ha: u> 275 (claim) Ο D. H0: μ= 275 (claim) Haiµ>275 Ο Ε. Η: μ= 275 Ha: µ> 275 (claim) ΟF H0: μ2 275 (claim) Ha:µ<275 (b) Find the standardized test statistic z, and its corresponding area. z= 1.41 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)
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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Does it fail to reject or does it reject?
Transcribed Image Text:(e) Interpret your decision in the context of the original claim.
At the 13% significance level, there
enough evidence to
the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270.
Transcribed Image Text: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.
А. Но: s275
Ha: µ> 275 (claim)
В. Но: р$275 (claim)
Ha: µ> 275
C. Ho: µ<275
Hai µ2 275 (claim)
D. Ho: µ= 275 (claim)
Ha: µ> 275
E. H0 μ=275
Hạ: µ> 275 (claim)
O F. Ho: µ2 275 (claim)
Haiu<275
(b) Find the standardized test statistic z, and its corresponding area.
z= 1.41 (Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three decimal places as needed.)
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