The mean serum-creatinine level measured in 15 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL. You can use SALT to answer parts of this question. (a) If the mean and standard deviation of serum creatinine in the general population are 1.0 and 0.4 mg/dL, respectively, then, using a significance level of 0.05, test whether the mean serum-creatinine level in this group is different from that of the general population. State the null and alternative hypotheses (in mg/dL). (Enter != for as needed.) Ho: H₁: Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.) test statistic > test statistic < State your conclusion. Fail to reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. Reject Ho. There is sufficient evidence conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. Fail to reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. Reject Ho. There is insufficient evidence conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. (b) What is the p-value for the test? (Use technology to find the p-value. Round your answer to four decimal places.) p-value=
The mean serum-creatinine level measured in 15 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL. You can use SALT to answer parts of this question. (a) If the mean and standard deviation of serum creatinine in the general population are 1.0 and 0.4 mg/dL, respectively, then, using a significance level of 0.05, test whether the mean serum-creatinine level in this group is different from that of the general population. State the null and alternative hypotheses (in mg/dL). (Enter != for as needed.) Ho: H₁: Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.) test statistic > test statistic < State your conclusion. Fail to reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. Reject Ho. There is sufficient evidence conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. Fail to reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. Reject Ho. There is insufficient evidence conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population. (b) What is the p-value for the test? (Use technology to find the p-value. Round your answer to four decimal places.) p-value=
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Related questions
Question
PARTS A and B
![Renal Disease
The mean serum-creatinine level measured in 15 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL.
You can use SALT to answer parts of this question.
(a) If the mean and standard deviation of serum creatinine in the general population are 1.0 and 0.4 mg/dL, respectively, then, using a significance level of 0.05, test whether the mean serum-creatinine level in this group is different from that of the general population.
State the null and alternative hypotheses (in mg/dL). (Enter != for * as needed.)
Ho:
H₁:
Find the test statistic. (Round your answer to two decimal places.)
Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.)
test statistic >
test statistic <
State your conclusion.
Fail to reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Fail to reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
(b) What is the p-value for the test? (Use technology to find the p-value. Round your answer to four decimal places.)
p-value=
(c) Suppose the sample standard deviation of serum creatinine in part (a) is 0.5 mg/dL. Assume that the standard deviation of serum creatinine is not known, and perform the hypothesis test in part (a). Report a p-value.
Find the test statistic. (Round your answer to two decimal places.)
0.72
*
Use technology to report a p-value. (Round your answer to four decimal places.)
p-value=
State your conclusion.
Fail to reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
• Fail to reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
(d) Compute a two-sided 95% CI for the true mean serum-creatinine level (in mg/dL) in part (c). (Enter your answer using interval notation. Round your numerical values to two decimal places.)
mg/dL](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F019aa22e-5745-4209-bab0-c788d3aa9b3b%2Fc9bee346-18c9-4606-b330-af24de1423de%2Fpvz4ul_processed.png&w=3840&q=75)
Transcribed Image Text:Renal Disease
The mean serum-creatinine level measured in 15 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL.
You can use SALT to answer parts of this question.
(a) If the mean and standard deviation of serum creatinine in the general population are 1.0 and 0.4 mg/dL, respectively, then, using a significance level of 0.05, test whether the mean serum-creatinine level in this group is different from that of the general population.
State the null and alternative hypotheses (in mg/dL). (Enter != for * as needed.)
Ho:
H₁:
Find the test statistic. (Round your answer to two decimal places.)
Find the rejection region. (Round your answers to two decimal places. If the test is one-sided, enter NONE for the unused region.)
test statistic >
test statistic <
State your conclusion.
Fail to reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Fail to reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
(b) What is the p-value for the test? (Use technology to find the p-value. Round your answer to four decimal places.)
p-value=
(c) Suppose the sample standard deviation of serum creatinine in part (a) is 0.5 mg/dL. Assume that the standard deviation of serum creatinine is not known, and perform the hypothesis test in part (a). Report a p-value.
Find the test statistic. (Round your answer to two decimal places.)
0.72
*
Use technology to report a p-value. (Round your answer to four decimal places.)
p-value=
State your conclusion.
Fail to reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is sufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
• Fail to reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
Reject Ho. There is insufficient evidence to conclude that the mean serum-creatinine level in this particular group of patients is different from that of the general population.
(d) Compute a two-sided 95% CI for the true mean serum-creatinine level (in mg/dL) in part (c). (Enter your answer using interval notation. Round your numerical values to two decimal places.)
mg/dL
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