A random sample of 83 eighth grade students' scores on a national mathematics assessment test has a mean score of 272. 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 38. At a = 0.04, 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. Ho: μ2 270 (claim) Ha: H<270 O c. Ho: µ= 270 (claim) Ha:µ> 270 B. Ho: µ= 270 Ha: µ> 270 (claim) Ο D . Ho: μS 270 E. Ho : με 270 (claim) Ο F. Ho: μ < 270 Ha: µ> 270 (claim) Ha: H> 270 Ha: H2 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three 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 272. 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 38. At a = 0.04, 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. Ho: μ2 270 (claim)
Ha: H<270
O c. Ho: µ= 270 (claim)
Ha:µ> 270
B. Ho: µ= 270
Ha: µ> 270 (claim)
Ο D . Ho: μS 270
E. Ho : με 270 (claim)
Ο F. Ho: μ < 270
Ha: µ> 270 (claim)
Ha: H> 270
Ha: H2 270 (claim)
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three 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 272. 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 38. At a = 0.04, 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. Ho: μ2 270 (claim) Ha: H<270 O c. Ho: µ= 270 (claim) Ha:µ> 270 B. Ho: µ= 270 Ha: µ> 270 (claim) Ο D . Ho: μS 270 E. Ho : με 270 (claim) Ο F. Ho: μ < 270 Ha: µ> 270 (claim) Ha: H> 270 Ha: H2 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)
Expert Solution
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a)

Consider that μ is the population mean score.

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