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 ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.4 with sample standard deviation s = 2.9. 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.MULTIPLE CHOICE A-H0: ? > 7.4; H1: ? = 7.4 B-H0: ? = 7.4; H1: ? ≠ 7.4 C-H0: ? ≠ 7.4; H1: ? = 7.4 D-H0: ? = 7.4; H1: ? < 7.4 E-H0: ? = 7.4; H1: ? > 7.4 (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.MULTIPLE CHOICE A-The standard normal, since the sample size is large and ? is known. B-The Student's t, since the sample size is large and ? is known. C-The Student's t, since the sample size is large and ? is unknown. D-The standard normal, since the sample size is large and ? is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.)=___ (c)Estimate the P-value.MULTIPLE CHOICE A-P-value > 0.150 B-0.100 < P-value < 0.150 C-0.050 < P-value < 0.100 D-0.020 < P-value < 0.050 E-P-value < 0.020 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 the data statistically significant at level ??MULTIPLE CHOICE A-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. B-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. C-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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 ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.4 with sample standard deviation s = 2.9. 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.MULTIPLE CHOICE A-H0: ? > 7.4; H1: ? = 7.4 B-H0: ? = 7.4; H1: ? ≠ 7.4 C-H0: ? ≠ 7.4; H1: ? = 7.4 D-H0: ? = 7.4; H1: ? < 7.4 E-H0: ? = 7.4; H1: ? > 7.4 (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.MULTIPLE CHOICE A-The standard normal, since the sample size is large and ? is known. B-The Student's t, since the sample size is large and ? is known. C-The Student's t, since the sample size is large and ? is unknown. D-The standard normal, since the sample size is large and ? is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.)=_ (c)Estimate the P-value.MULTIPLE CHOICE A-P-value > 0.150 B-0.100 < P-value < 0.150 C-0.050 < P-value < 0.100 D-0.020 < P-value < 0.050 E-P-value < 0.020 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 the data statistically significant at level ??MULTIPLE CHOICE A-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. B-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. C-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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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Related questions

Question

(a)What is the level of significance?=__

State the null and alternate hypotheses.MULTIPLE CHOICE

A-H₀: ? > 7.4; H₁: ? = 7.4

B-H₀: ? = 7.4; H₁: ? ≠ 7.4

C-H₀: ? ≠ 7.4; H₁: ? = 7.4

D-H₀: ? = 7.4; H₁: ? < 7.4

E-H₀: ? = 7.4; H₁: ? > 7.4

(b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.MULTIPLE CHOICE

A-The standard normal, since the sample size is large and ? is known.

B-The Student's t, since the sample size is large and ? is known.

C-The Student's t, since the sample size is large and ? is unknown.

D-The standard normal, since the sample size is large and ? is unknown.

What is the value of the sample test statistic? (Round your answer to three decimal places.)=___

(c)Estimate the P-value.MULTIPLE CHOICE

A-P-value > 0.150

B-0.100 < P-value < 0.150

C-0.050 < P-value < 0.100

D-0.020 < P-value < 0.050

E-P-value < 0.020

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 the data statistically significant at level ??MULTIPLE CHOICE

A-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

B-At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

C-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

D-At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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