**Transcription for Educational Website:**---A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. 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 37. At α = 0.12, 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 \leq 260 $ $ H_a: \mu > 260 $ (claim)- B. $ H_0: \mu = 260 $ (claim) $ H_a: \mu > 260 $- C. $ H_0: \mu \geq 260 $ (claim) $ H_a: \mu < 260 $- D. $ H_0: \mu = 260 $ $ H_a: \mu > 260 $ (claim)- E. $ H_0: \mu \leq 260 $ (claim) $ H_a: \mu > 260 $- F. $ H_0: \mu < 260 $ $ H_a: \mu \geq 260 $ (claim)(The correct answer is option A, as indicated.)**(b) Find the standardized test statistic $ z $, and its corresponding area.**- $ z = $ [ ] **(Round to two decimal places as needed.)**---**Explanation of Elements:**- The question is structured to guide students through hypothesis testing. Part (a) focuses on formulating null ($H_0$) and alternative hypotheses ($H_a$) based on the claim made by the school administrator. - Part (b) involves calculating the $ z $-score, a critical component of hypothesis testing, which helps determine whether to reject the null hypothesis at the given level of significance ($ \alpha = 0.12 $).This example assists students in understanding how to set up and evaluate claims using statistical methods.

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A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. 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 37. At a = 0.12, 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. A. Ho: us 260 Ha: µ> 260 (claim) B. Ho: µ= 260 (claim) Hai µ> 260 O c. H0: μ2 260 (claim) Ha:µ<260 Ο D. H: μ = 260 Ha: u> 260 (claim) Ο Ε. Ho: μ5 260 (claim) Ha:µ> 260 ΟF H μ < 260 Ha: u2 260 (claim) (b) Find the standardized test statistic z, and its corresponding area.

A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 266. 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 37. At a = 0.12, 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. A. Ho: us 260 Ha: µ> 260 (claim) B. Ho: µ= 260 (claim) Hai µ> 260 O c. H0: μ2 260 (claim) Ha:µ<260 Ο D. H: μ = 260 Ha: u> 260 (claim) Ο Ε. Ho: μ5 260 (claim) Ha:µ> 260 ΟF H μ < 260 Ha: u2 260 (claim) (b) Find the standardized test statistic z, and its corresponding area.

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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