A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 283. 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 31. At α=0.04, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 283. This test result prompts a state schooladministrator 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 31. Ata = 0.04, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).O A. Ho: µ= 280H3: u> 280 (claim)O B. Ho: u= 280 (claim)H3: u> 280OC. Ho: µ2 280 (claim)H3: u< 280O D. Ho: µs 280H3: u> 280 (claim)O E. Ho: H< 280H3: µ2 280 (claim)OF H : μ5280 (claim)H3: u> 280(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.O Fail to reject HoO Reject Ho(e) Interpret your decision in the context of the original claim.At the 4% significance level, thereenough evidence tothe administrator's claim that the mean score for the state's eighth graders on the examis more than 280.

Name: A random sample of 76 eighth grade students' scores on a national mat
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 283. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam