y POIES Tor Tie SKippeu part, ana you wmIOLDe abe to come aCK TO Ie SKipped part.Tutorial ExerciseLet x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthyadults, the mean of the x distribution is u = 7.4.1 A new drug for arthritis has been developed. However, it isthought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for :months. Blood tests showed that x = 8.7 with sample standard deviation s = 3.6. Use a 5% level ofsignificance to test the claim that the drug has changed (either way) the mean pH level of the blood.(a) What is the level of significance?State the null and alternate hypotheses.(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.What is the value of the sample test statistic?(c) Estimate the P-value.Sketch the sampling distribution and show the area corresponding to the P-value.(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are thedata statistically significant at level a?(e) Interpret your conclusion in the context of the application. Step 5(c) Estimate the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.Recall that based on our alternative hypothesis, H,: u 7.4, we are conducting a two-tailed test. With asample size of n = 41, the degrees of freedom for the Student's t-distribution ared.f. = n - 1 = 40Refer to the excerpt from the table of critical values for Student's t-distribution to locate the test statistic t = 2.312 in the row corresponding to the degrees of freedomdetermined above.Note that the test statistic t = 2.312 falls between the table values 2.021 and 2.423. The two-tail areaand the two-tail area corresponding to thecorresponding to the critical value 2.021 is 1.96critical value 2.423 is .0208Identify the P-value range for this test based on these two-tail areas.P-value > 0.1500.100 < P-value < 0.150O 0.050 < P-value < 0.100O 0.020< P-value < 0.050O P-value < 0.020

Given Information: μ=7.4 Sample size (n) = 41 Sample mean (x¯) = 8.7 Sample standard deviation (s) =…

Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is u = 7.4.t A new drug for arthritis has been developed. However, it thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug fc months. Blood tests showed that x 8.7 with sample standard deviation s = 3.6. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. What is the value of the sample test statistic? (c) Estimate the P-yalue.

Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is u = 7.4.t A new drug for arthritis has been developed. However, it thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug fc months. Blood tests showed that x 8.7 with sample standard deviation s = 3.6. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. What is the value of the sample test statistic? (c) Estimate the P-yalue.

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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