A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text:A random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. 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 260. Assume that the population standard deviation
is 31. 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 Ha. Choose the correct answer below.
O C. Ho: u= 260 (claim)
O A. Ho: H= 260
H u> 260 (claim)
O B. Ho: us260
Ha p> 260 (claim)
Ha: p> 260
OF. Ho: H<260
H u2 260 (claim)
O E. Ho: µs260 (claim)
O D. Ho u2 260 (claim)
Ha: H< 260
Ha µ> 260
(b) Find the standardized test statistic z, and its corresponding area.
z=
(Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three decimal places as needed.)
sional
pdf
(d) Decide whether to reject or fail to reject the null hypothesis.
O Reject Ho
Fail to reject Ho
(e) Interpret your decision in the context of the original claim.
the administrator's claim that the mean score for the state's eighth graders on the
At the 8% significance level, there
enough evidence to
exam is more than 260.
Click to select your answer(S).
Search Textbook So.
g Take a Test - Micha.
w
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