A random sample administrator to d there enough evi= (a) Write the clain O A. Ho: µ226 Ha:H<2E O D. Ho: µ< 26 Ha: H> 26 (b) Find the stand (Roun (c) Find the P-valu P-value = (Rou (d) Decide whethe

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A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 268. 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 260. Assume that the population standard deviation is 36. At a = 0.07, 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.
A. Ho: µ2 260 (claim)
Ha: H<260
B. Ho:µs260 (claim)
Ha:µ> 260
O C. Ho: H<260
H3: H2 260 (claim)
O D. Ho:HS260
H: µ> 260 (claim)
Ο ΕΕ Ho: μ= 260
O E.
O F. Ho: µ=260 (claim)
Ha:H> 260
Ha:µ> 260 (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.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Transcribed Image Text:E Question Help A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 268. 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 260. Assume that the population standard deviation is 36. At a = 0.07, 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. A. Ho: µ2 260 (claim) Ha: H<260 B. Ho:µs260 (claim) Ha:µ> 260 O C. Ho: H<260 H3: H2 260 (claim) O D. Ho:HS260 H: µ> 260 (claim) Ο ΕΕ Ho: μ= 260 O E. O F. Ho: µ=260 (claim) Ha:H> 260 Ha:µ> 260 (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.) (d) Decide whether to reject or fail to reject the null hypothesis.
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