**Problem Overview:**A random sample of 78 eighth-grade students' scores on a national mathematics assessment test has a mean score of 275. 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 33. At α = 0.11, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).**(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.**- A. \( H_0: \mu = 270 \) \( H_a: \mu > 270 \) (claim)- B. \( H_0: \mu \le 270 \) \( H_a: \mu > 270 \) (claim) ✔- C. \( H_0: \mu = 270 \) \( H_a: \mu \neq 270 \) (claim)- D. \( H_0: \mu < 270 \) \( H_a: \mu \ge 270 \) (claim)- E. \( H_0: \mu \ge 270 \) \( H_a: \mu < 270 \) (claim)- F. \( H_0: \mu \le 270 \) (claim) \( H_a: \mu > 270 \)**(b) Find the standardized test statistic z, and its corresponding area.**- \( z = \square \) (Round to two decimal places as needed.)Note: The options are provided, and option B is ticked as correct, indicating that the null hypothesis \( H_0 \) is \( \mu \le 270 \) and the alternative hypothesis \( H_a \) is \( \mu > 270 \) (the administrator's claim). The next step involves calculating the standardized test statistic \( z \), rounding it to two decimal places according to the given instructions.

The summary of the statistics is, x¯=275,σ=33,n=78,μ=270 The null and alternative hypothesis is,…

A random sample of 78 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 33. At a= 0.11, 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. O A. Ho H= 270 (claim) H u> 270 ΥΒ H μ 270 H u> 270 (claim) OC. Ho H= 270 H, u> 270 (claim) O D. Ho u<270 H, u2 270 (claim) O E. Ho: u2270 (claim) H u<270 OF. Ha us270 (claim) H, p> 270 (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.)

A random sample of 78 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 33. At a= 0.11, 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. O A. Ho H= 270 (claim) H u> 270 ΥΒ H μ 270 H u> 270 (claim) OC. Ho H= 270 H, u> 270 (claim) O D. Ho u<270 H, u2 270 (claim) O E. Ho: u2270 (claim) H u<270 OF. Ha us270 (claim) H, p> 270 (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.)

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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