A simple random sample of 52 adults is obtained from a normally distributed popu

Question

A simple random sample of 52 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.31 and the sample standard deviation is 0.55. Use a 0.05 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group? A. H_0: mu = 5.4 H_1: mu > 5.4 B. H_0: mu

Explanation / Answer

Solution:

C) Test Hypothesis
H0: = 5.4
H1: < 5.4
x = 5.31 = 0.55 n = 52
Identify the test statistic t = x- /(/n) = 5.31-5.4/(0.55/52)
= -1.1799986

Identify the P-value p = 0.12175

Since P value > significance level(0.05) we reject H0.

State the final conclusion that addresses the original claim. Choose the correct answer below.

A. Fail to reject H0. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.

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