percentile of a t distribution with 54 df.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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please only answer 7.8

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, respec-
tively, then, using a significance level of .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 cre-
atinine in Problem 7.1 is 0.6 mg/dL. Assume that the stan-
dard 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
x-μo
s/√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, respec- tively, then, using a significance level of .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 cre- atinine in Problem 7.1 is 0.6 mg/dL. Assume that the stan- dard 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 x-μo s/√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.
Expert Solution
Step 1

Given that 

Degree of freedom =df =54

And 10% percentile. 

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