A random sample of 79 eighth-grade students' scores on a national mathematics assessment test has a mean score of 263. 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 34. At α = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).(a) Write the claim mathematically and identify \(H_0\) and \(H_a\). Choose the correct answer below.- A. \(H_0: \mu \geq 260\) (claim) \\ \(H_a: \mu < 260\)- B. \(H_0: \mu \leq 260\) \\ \(H_a: \mu > 260\) (claim)- C. \(H_0: \mu = 260\) (claim) \\ \(H_a: \mu > 260\)- D. \(H_0: \mu = 260\) \\ \(H_a: \mu > 260\) (claim)- E. \(H_0: \mu \leq 260\) \\ \(H_a: \mu > 260\)- F. \(H_0: \mu < 260\) \\ \(H_a: \mu \geq 260\) (claim)(b) Find the standardized test statistic \(z\), and its corresponding area.\(z = \_\_\_\_ \, \text{(Round to two decimal places as needed.)}\)(c) Find the P-value.P-value = \_\_\_\_ \, \text{(Round to three decimal places as needed.)}(d) Decide whether to reject or fail to reject the null hypothesis.- \( \bigcirc \) Fail to reject \(H_0\)- \( \bigcirc \) Reject \(H_0\)(e) Interpret your decision in the context of the original claim.At the 5% significance level, there \(\_\_\_\_\) enough evidence to \(\_\_\_\_\) the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.

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Description: A random sample of 79 eighth-grade students' scores on a national mathematics assessment test has a mean score of 263. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam i

From the given information, let X be the eighth-grade students scores. Number of students are selected n = 79. Mean score selected students Population standard deviation Level of significance Claim: The mean score for the state’s eighth graders on this exam is more than 260. The null and alternative hypotheses are, Since, the alternative has greater than (>) symbol then it is a one tailed test (Right tailed test). Correct option: (E).Use the following formula to compute the test statistic:Compute the P-value.Decision rule: Reject the null hypothesis if the P-value is less than the level of significance. Conclusion: Since, the P-value, 0.218, is greater than the level of significance, 0.05. Thus, fail to reject the null hypothesis.At 5% significance level, there is not enough evidence to support the administrator’s claim that the mean score for the state’s eight graders on the exam is more than 260.

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A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. 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 34. At a = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. Ο Α. H : με 260 (claim) H:u< 260 O B. Ho: us260 (claim) H:p> 260 OC. Ho: = 260 (claim) H:u> 260 O E. Ho: us260 O D . H : μ 260 Ha:> 260 (claim) ΟΕ Hρ: μ< 260 H:u2 260 (claim) H:u> 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether reject or fail to reject the null hypothesis. O Fail to reject Ho O Reject Ho (e) Interpret your decision in the context of the original claim. At the 5% significance level, there V enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.

A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. 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 34. At a = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. Ο Α. H : με 260 (claim) H:u< 260 O B. Ho: us260 (claim) H:p> 260 OC. Ho: = 260 (claim) H:u> 260 O E. Ho: us260 O D . H : μ 260 Ha:> 260 (claim) ΟΕ Hρ: μ< 260 H:u2 260 (claim) H:u> 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether reject or fail to reject the null hypothesis. O Fail to reject Ho O Reject Ho (e) Interpret your decision in the context of the original claim. At the 5% significance level, there V enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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