Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 new drug for arthritis has been developed. However, it is thought that this drug may change blood. Random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation with sample standard deviation s = 3.3. Use a 5% level of significance to test the claim that the drug has changed (either way)

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 new drug for arthritis has been developed. However, it is thought that this drug may change blood. Random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation with sample standard deviation s = 3.3. Use a 5% level of significance to test the claim that the drug has changed (either way)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
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 new drug for arthritis has been developed. However, it is thought that this drug may change blood. Random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation with sample standard deviation s = 3.3. Use a 5% level of significance to test the claim that the drug has changed (either way)
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 sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation s = USE SALT (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: >7.4; H₁: μ = 7.4 O Ho: = 7.4; H₁: μ> 7.4 OH = 7.4; H₁: μ* 7.4 OH:7.4; H₁: μ = 7.4 Ο Η: μ = 7.4; Ηş: μ < 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and σ is known. O The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and σ is unknown. O The Student's t, since the sample size is large and σ is known. What is the value of the sample test statistic? (Round your answer to three decimal places.)
Transcribed Image Text: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 sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation s = USE SALT (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: >7.4; H₁: μ = 7.4 O Ho: = 7.4; H₁: μ> 7.4 OH = 7.4; H₁: μ* 7.4 OH:7.4; H₁: μ = 7.4 Ο Η: μ = 7.4; Ηş: μ < 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and σ is known. O The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and σ is unknown. O The Student's t, since the sample size is large and σ is known. What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Estimate the P-value. OP-value > 0.100 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O 0.010 < P-value < 0.020 O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. -2 0 2 -2 0 2 (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 lew O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. O There is sufficient evidence at the 0.05 level to conclude that the drug has changed the mean pH level of the blood. O There is insufficient evidence at the 0.05 level to conclude that the drug has changed the mean pH level of the blood.
Transcribed Image Text:(c) Estimate the P-value. OP-value > 0.100 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O 0.010 < P-value < 0.020 O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. -2 0 2 -2 0 2 (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 lew O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. O There is sufficient evidence at the 0.05 level to conclude that the drug has changed the mean pH level of the blood. O There is insufficient evidence at the 0.05 level to conclude that the drug has changed the mean pH level of the blood.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS