Homework Help is Here – Start Your Trial Now!
Math
Statistics
Let x be a random variable that represents the pH of arterial plasma (l.e., acidity of the blood). For healthy adults, the mean of the x distribution is = 7.4.1 A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.4 with sample standard deviations = 2.5. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. ọ Hoi Ho 7.4, Hil 74 O Ho: 7.4; H₁: = 7.4 o Ho H = 7.4, Hộ ka24 o Hỏi 17.4, Hộp 7A O Ho: H=7.4; H₂: μ> 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.150 O 0.100 < P-value < 0.150 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O P-value < 0.020 Sketch the sampling distribution and show the area corresponding to the P-value.

Let x be a random variable that represents the pH of arterial plasma (l.e., acidity of the blood). For healthy adults, the mean of the x distribution is = 7.4.1 A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.4 with sample standard deviations = 2.5. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. ọ Hoi Ho 7.4, Hil 74 O Ho: 7.4; H₁: = 7.4 o Ho H = 7.4, Hộ ka24 o Hỏi 17.4, Hộp 7A O Ho: H=7.4; H₂: μ> 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.150 O 0.100 < P-value < 0.150 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O P-value < 0.020 Sketch the sampling distribution and show the area corresponding to the P-value.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
See similar textbooks
icon
Related questions
Question
(c) Estimate the P-value. OP-value > 0.150 O 0.100 < P-value < 0.150 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O P-value < 0.020 Sketch the sampling distribution and show the area corresponding to the P-value. 00 (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 a? 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. O
Transcribed Image Text:(c) Estimate the P-value. OP-value > 0.150 O 0.100 < P-value < 0.150 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O P-value < 0.020 Sketch the sampling distribution and show the area corresponding to the P-value. 00 (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 a? 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. O
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 μ = 7.4.1 A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.4 with sample standard deviations 2.5. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: 7.4; H₁: * 7.4 o Ho Ha 7.4, High 7,4 O Ho: 7.4; H₂: < 7.4 O Ho: >7.4; H₁: = 7.4 o Hoi K74, High >74 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. OP-value> 0.150 O 0.100 < P-value < 0.150 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O P-value < 0.020 Sketch the sampling distribution and show the area corresponding to the P-value.
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 x distribution is μ = 7.4.1 A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.4 with sample standard deviations 2.5. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: 7.4; H₁: * 7.4 o Ho Ha 7.4, High 7,4 O Ho: 7.4; H₂: < 7.4 O Ho: >7.4; H₁: = 7.4 o Hoi K74, High >74 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. OP-value> 0.150 O 0.100 < P-value < 0.150 O 0.050 < P-value < 0.100 O 0.020 < P-value < 0.050 O P-value < 0.020 Sketch the sampling distribution and show the area corresponding to the P-value.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 15 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS