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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 = 7.4t. 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 = 8.0 with sample standard deviation s = 1.8. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.)

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 = 7.4t. 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 = 8.0 with sample standard deviation s = 1.8. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.)

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
Section13.3: Special Probability Density Functions
Problem 7E
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STEP BY STEP DONT USE EXCEL! HW22#14
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 = 7.4t. 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 = 8.0 with sample standard deviation s = 1.8. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.) LUSE SALT test statistic = critical value = + State your conclusion ion the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence that the drug has changed the mean pH level. Reject the null hypothesis, there is insufficient evidence that the drug has changed the mean pH level. Reject the null hypothesis, there is sufficient evidence that the drug has changed the mean pH level. O Fail to reject the null hypothesis, there is sufficient evidence that drug has changed the mean pH level. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? O We reject the null hypothesis using the traditional method, but fail to reject using the P-value method. O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. O The conclusions obtained by using both methods are the same.
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 = 7.4t. 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 = 8.0 with sample standard deviation s = 1.8. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.) LUSE SALT test statistic = critical value = + State your conclusion ion the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence that the drug has changed the mean pH level. Reject the null hypothesis, there is insufficient evidence that the drug has changed the mean pH level. Reject the null hypothesis, there is sufficient evidence that the drug has changed the mean pH level. O Fail to reject the null hypothesis, there is sufficient evidence that drug has changed the mean pH level. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? O We reject the null hypothesis using the traditional method, but fail to reject using the P-value method. O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. O The conclusions obtained by using both methods are the same.
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