A random sample of 83 eighth grade students' scores on a national mathematics assessment test has a mean score of 289. 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 280. Assume that the population standard deviation is 34. At = 0.14, 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. a A. Ho: H< 280 (claim) Ha: H> 280 B. Ho: H = 280 (claim) C. Ho: H<280 Ha:H> 280 Ha: H2 280 (claim) GE. Ho: H2 280 (claim) Ha: u< 280 R H : μ 280 Ha: H> 280 (claim) O D. Ho: H= 280 Ha: H> 280 (claim) (b) Find the standardized test statistic z, and its corresponding area. Z= (Round to two decimal places as needed.)

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A random sample of 83 eighth grade students' scores on a national mathematics assessment test has a mean score of 289.
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 280. Assume that the population standard deviation is 34. At a = 0.14, 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 Α. Η0: μ< 280 (claim)
B. Ho: H = 280 (claim)
Ha: µ> 280
C. Ho: H<280
Ha: µ2 280 (claim)
%3D
Ha: H> 280
O D. Ho: H= 280
Ha: µ> 280 (claim)
E. Ho:H2 280 (claim)
Ha:H< 280
F. Ho: µs280
Ha: H> 280 (claim)
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
Transcribed Image Text:A random sample of 83 eighth grade students' scores on a national mathematics assessment test has a mean score of 289. 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 280. Assume that the population standard deviation is 34. At a = 0.14, 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 Α. Η0: μ< 280 (claim) B. Ho: H = 280 (claim) Ha: µ> 280 C. Ho: H<280 Ha: µ2 280 (claim) %3D Ha: H> 280 O D. Ho: H= 280 Ha: µ> 280 (claim) E. Ho:H2 280 (claim) Ha:H< 280 F. Ho: µs280 Ha: H> 280 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.)
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