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.t 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 = 8.6 with sample standard deviation s = 3.0. 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. Ho: u * 7.4; H1: µ = 7.4 Ho: H = 7.4; H1: H < 7.4 Ho:μ> 74 Ημε 74 Hoμ 74 Ηνμε 74 Họ: H = 7.4; H: > 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and o is known. The standard normal, since the sample size is large and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. P-value > 0.250 0.100 < P-valu .250 e < 0 0.050 < P-value < 0.100 0.010 < P-value < 0.050 P-value < 0.010
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.t 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 = 8.6 with sample standard deviation s = 3.0. 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. Ho: u * 7.4; H1: µ = 7.4 Ho: H = 7.4; H1: H < 7.4 Ho:μ> 74 Ημε 74 Hoμ 74 Ηνμε 74 Họ: H = 7.4; H: > 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and o is known. The standard normal, since the sample size is large and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. P-value > 0.250 0.100 < P-valu .250 e < 0 0.050 < P-value < 0.100 0.010 < P-value < 0.050 P-value < 0.010
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 u = 7.4.t 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 = 8.6 with sample standard deviation s = 3.0. 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.
Ho: u * 7.4; H1: µ = 7.4
Ho: H = 7.4; H1: H < 7.4
Ho:μ> 74 Ημε 74
Hoμ 74 Ηνμε 74
Họ: H = 7.4; H: > 7.4
(b) What sampling distribution will you use? Explain the
rationale for your choice of sampling distribution.
The standard normal, since the sample size is large and o is known.
The Student's t, since the sample size is large and o is unknown.
The Student's t, since the sample size is large and o is known.
The standard normal, since the sample size is large and o is unknown.
What is the value of the sample test statistic? (Round your
answer to three decimal places.)
(c) Estimate the P-value.
P-value > 0.250
0.100 < P-valu .250
e < 0
0.050 < P-value < 0.100
0.010 < P-value < 0.050
P-value < 0.010
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