A random sample of 86 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 285. Assume that the population standard deviation is 33. At a =0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H, and H. Choose the correct answer below. O B. Họ: u< 285 O C. Họ: us 285 (claim) ΟΑ Η ' μ- 285 H:u> 285 (claim) H: u2 285 (claim) H:u> 285 O D. Ho: u= 285 (claim) Ho: us 285 Haiu> 285 (claim) OF. Ho: u2 285 (claim) Ha:u> 285 H:u<285 (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 86 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 285. Assume that the population standard deviation is 33. At a = 0.09, 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. Ho: H
B. Ho: µ< 285
Ha: µ2 285 (claim)
C. Ho: µs 285 (claim)
Ha:µ> 285
= 285
Ha: µ> 285 (claim)
D. Ho: µ= 285 (claim)
Ha: µ> 285
E. Ho: µs285
Ha: µ> 285 (claim)
F. Ho: µ2 285 (claim)
Ha:µ< 285
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
Z=
Transcribed Image Text:A random sample of 86 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 285. Assume that the population standard deviation is 33. At a = 0.09, 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. Ho: H B. Ho: µ< 285 Ha: µ2 285 (claim) C. Ho: µs 285 (claim) Ha:µ> 285 = 285 Ha: µ> 285 (claim) D. Ho: µ= 285 (claim) Ha: µ> 285 E. Ho: µs285 Ha: µ> 285 (claim) F. Ho: µ2 285 (claim) Ha:µ< 285 (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) Z=
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