A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 a = 0.01, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H Choose the correct answer below. OC. Ho: uS270 O B. Ho: us270 (claim) H p>270 ΟΑ. Hoμ< 270 H>270 (claim) H: u2270 (claim) O D. Ho: u= 270 H: u> 270 (claim) O E. Ho: H2270 (claim) Hu<270 OF. Ho: u270 (claim) H u> 270 (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.) (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. V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270. At the 1% significance level, there Menough evidence to Noxt

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A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 a = 0.01, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify Ho and H Choose the correct answer below.
OC. Ho: uS270
O B. Ho: us270 (claim)
H p> 270
O A. Ho: u<270
H >270 (claim)
H: u2 270 (claim)
O E. Ho: H2270 (claim)
Hu<270
OF. Ho: u270 (claim)
Hu> 270
O D. Hp: = 270
H: u> 270 (claim)
(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.)
(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.
V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270.
At the 1% significance level, there
V enough evidence to
Next
Transcribed Image Text:A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 a = 0.01, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H Choose the correct answer below. OC. Ho: uS270 O B. Ho: us270 (claim) H p> 270 O A. Ho: u<270 H >270 (claim) H: u2 270 (claim) O E. Ho: H2270 (claim) Hu<270 OF. Ho: u270 (claim) Hu> 270 O D. Hp: = 270 H: u> 270 (claim) (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.) (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. V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270. At the 1% significance level, there V enough evidence to Next
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