A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. 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= 0.06, 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. O B. Ho: = 270 (claim) OA. Ho: H<270 H2270 (claim) O C. Ho: p= 270 H>270 (claim) Hap>270 E H μs 270 O D. Ho: HS270 (claim) H>270 OF Ho: H2270 (claim) Hu<270 Ha: > 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) %=

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A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. 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= 0.06, 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.
Ο H : μ= 270
OA. Ho: H<270
H2270 (claim)
O B. Ho: =270 (claim)
Ha> 270
Ha >270 (claim)
O D. Ho: HS270 (claim)
HaH> 270
CΕ H μs 270
Ha:p> 270 (claim)
OF. Ho: p2 270 (claim)
Hu<270
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
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Transcribed Image Text:A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. 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= 0.06, 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. Ο H : μ= 270 OA. Ho: H<270 H2270 (claim) O B. Ho: =270 (claim) Ha> 270 Ha >270 (claim) O D. Ho: HS270 (claim) HaH> 270 CΕ H μs 270 Ha:p> 270 (claim) OF. Ho: p2 270 (claim) Hu<270 (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 3 parts remaining Clear All Check Answer Cbp
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