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
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
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