A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. This test result prompts a state schoo 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 37. 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 H, and Ha. Choose the correct answer below. O A. Ho: H= 285 Ha:u> 285 (claim) ΟΒ. Hρ μ2 285 (claim) Ha:H<285 Ο . H : μ< 285 Ha:H2 285 (claim) F. Ho: HS285 H:u> 285 (claim) O D. Ho: Hs285 (claim) O E. Ho:H= 285 (claim) Ha: u> 285 Ha: H> 285 (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 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. 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 37. At
a= 0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
%3D
(a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below.
O A. Ho: H= 285
B. Ho: H2 285 (claim)
Ο c. H : μ< 285
Ha: H> 285 (claim)
Ha:µ<285
Ha: H2 285 (claim)
O D. Ho: HS285 (claim)
O E. Ho: H= 285 (claim)
%3D
F. Ho:us285
Ha:H> 285 (claim)
Ha: H> 285
Hai H> 285
(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 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. 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 37. At a= 0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). %3D (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: H= 285 B. Ho: H2 285 (claim) Ο c. H : μ< 285 Ha: H> 285 (claim) Ha:µ<285 Ha: H2 285 (claim) O D. Ho: HS285 (claim) O E. Ho: H= 285 (claim) %3D F. Ho:us285 Ha:H> 285 (claim) Ha: H> 285 Hai H> 285 (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 Type here to search End Home F8 PrtScn /II F4 F5 F6 F7 F1 F2 F3
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