*7.4 Compute a two-sided 95% CI for the true mean serum-creatinine level in Problem 7.3.
*7.4 Compute a two-sided 95% CI for the true mean serum-creatinine level in Problem 7.3.
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Chapter1: Starting With Matlab
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Please only answer 7.4
![**Renal Disease**
The mean serum-creatinine level measured in 12 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL.
**7.1** 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.
**7.2** What is the *p*-value for the test?
**7.3** Suppose the sample standard deviation of serum creatinine in Problem 7.1 is 0.6 mg/dL. Assume that the standard deviation of serum creatinine is not known, and perform the hypothesis test in Problem 7.1. Report a *p*-value.
**7.4** Compute a two-sided 95% CI for the true mean serum-creatinine level in Problem 7.3.
**7.5** How does your answer to Problem 7.4 relate to your answer to Problem 7.3?
**7.6** Suppose \( \frac{\overline{x} - \mu_0}{s/\sqrt{n}} = -1.52 \) and a one-sample *t* test is performed based on seven subjects. What is the two-tailed *p*-value?
**7.7** Use a computer program to compute the probability that a *t* distribution with 36 df exceeds 2.5.
**7.8** Use a computer program to compute the lower 10th percentile of a *t* distribution with 54 df.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96c722f3-113d-46ff-b1d1-04711a7fb2c4%2F1c22e1b5-665c-4c66-8f8d-4148863294bb%2Fz2rrwq_processed.png&w=3840&q=75)
Transcribed Image Text:**Renal Disease**
The mean serum-creatinine level measured in 12 patients 24 hours after they received a newly proposed antibiotic was 1.2 mg/dL.
**7.1** 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.
**7.2** What is the *p*-value for the test?
**7.3** Suppose the sample standard deviation of serum creatinine in Problem 7.1 is 0.6 mg/dL. Assume that the standard deviation of serum creatinine is not known, and perform the hypothesis test in Problem 7.1. Report a *p*-value.
**7.4** Compute a two-sided 95% CI for the true mean serum-creatinine level in Problem 7.3.
**7.5** How does your answer to Problem 7.4 relate to your answer to Problem 7.3?
**7.6** Suppose \( \frac{\overline{x} - \mu_0}{s/\sqrt{n}} = -1.52 \) and a one-sample *t* test is performed based on seven subjects. What is the two-tailed *p*-value?
**7.7** Use a computer program to compute the probability that a *t* distribution with 36 df exceeds 2.5.
**7.8** Use a computer program to compute the lower 10th percentile of a *t* distribution with 54 df.
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