*7.4 Compute a two-sided 95% CI for the true mean serum-creatinine level in Problem 7.3.

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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.
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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