**Question 4**You wish to test the following claim (\(H_0\)) at a significance level of \(\alpha = 0.10\). For the context of this problem, \(\mu_d = \mu_2 - \mu_1\) where the first data set represents a pre-test and the second data set represents a post-test.\[H_0: \mu_d = 0\]\[H_a: \mu_d \neq 0\]You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for \(n = 9\) subjects. The average difference (post - pre) is \(\bar{d} = 9\) with a standard deviation of the differences of \(s_d = 44.9\).What is the critical value for this test? (Report answer accurate to two decimal places.)**critical value = [ ]**What is the test statistic for this sample? (Report answer accurate to three decimal places.)**test statistic = [ ]**The test statistic is…- \(\circ\) in the critical region- \(\circ\) not in the critical regionThis test statistic leads to a decision to…- \(\circ\) reject the null- \(\circ\) accept the null- \(\circ\) fail to reject the nullAs such, the final conclusion is that…- \(\circ\) There is sufficient evidence to warrant accepting the \(H_0\): the mean difference is zero vs. \(H_a\): the mean difference is not equal to 0.- \(\circ\) There is not sufficient evidence to warrant accepting the \(H_0\): the mean difference is zero vs. \(H_a\): the mean difference is not equal to 0.- \(\circ\) The sample data support rejecting the \(H_0\): the mean difference is zero vs. \(H_a\): the mean difference is not equal to 0.- \(\circ\) There is not sufficient sample evidence to support rejecting the \(H_0\): the mean difference is zero vs. \(H_a\): the mean difference is not equal to 0.

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Answered: You wish to test the following claim…

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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Aspirin is packed in 120 tab bottles with weight normally distributed with mean 600g and standard deviation 6g. Rejected bottles are those whose weight differs from the mean weight by 15g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 5000 bottles. 1,Do we have to calculate one z-score or two z-scores? 2. The negative z-score is 3. The positive z-score is 4.How many bottles, of the 5000, do we anticipate to have to reject?
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 59.3 Ha:µ + 59.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 666 with mean M = 57.9 and a standard deviation of SD = 15.4. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is.. less than (or equal to) a Ogreater than a This test statistic leads to a decision to... reject the null |accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.3. The sample data support the claim that the population mean is not equal…
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You wish to test the following claim (Ha) at a significance level of a = 0.005.Ho: M = 59.3Ha: M > 59.3 You believe the population is normally distributed and you know the standard deviation is o = 18.1. Youobtain a sample mean of M = 68 for a sample of size n36. What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =
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