A simple random sample of 59 adults is obtained from a norma

A simple random sample of 59 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 5.28 and the sample standard deviation is 0.52. 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?

T-Test

u<5.4   t= 1.772572096   p =0.0407756055 x =5.28 S =0.520.52   n=59

What are the null and alternative hypotheses?

a.H0: = 5.4

H1: < 5.4

b.  H1: < 5.4

H0: = 5.4

c. H0: = 5.4

H1:: 5.4

d   H0: = 5.4

H1: > 5.4

Identify the test statistic ___________

Identify the P-value __________

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

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

b. Reject H0. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.

c. 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

d. Fail to reject H0. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.

What do the results suggest about the sample group?

a. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4 so it is possible that the population has counts that are too high.

b. There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high,

c. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is possible that the population has counts that are too high.

d. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high.

Solution

a.Null Hypothesis : H0: = 5.4

Alternative Hypothesis (Claim) : H1: < 5.4

Identify the test statistic - t= 1.772572096

Identify the P-value - p =0.0407756055

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

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

b. Reject H0. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.

What do the results suggest about the sample group?

d. There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high.