A simple random sample af 44 adults is obtaned from a normally distrbuted popula

Question

A simple random sample af 44 adults is obtaned from a normally distrbuted population, and each person's red blaod cell count (in cells per micreliter) is measured. The sample mean is 5.21 and the sample standard dev ation is 0.52. Use a 0.05 Significance level and the g e calculator dispi y to test the claim that the sample is from a population with a mean less than 5.4 which s a value o ten used or the upper mit of the an e of normal values hat do the results suggest about the sample grcup? 5.4 -2.423687347 p 0.0008222280 x- 521 Sx 0.52 n 44 What are the null and alternative hypotheses? A. Ho: = 5.4 H1 : = 5.4 OD, Ho: =5.4 H1 : >5.4 H1 : #5.4 Identify the test statistic. (Round to three decimal places as needed.) Identify the P-value. Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. 0 A. Reject Ho. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. B. Reject Ho-There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. O C. Fail to reject Hg. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. 0 D. Fail to reject H0. There is sufficent evidence to support the claim that the sample is from a population with mean less than 54 What do the results suggest about the sample group? O A. There is enaugh evidence to conclude that the sample is fram a population with a mean less than 5.4, so it is unlikely that the papulation has counts that are too high. O B. There is not enough evidence to condude that the sample is from a population with a mean less than 5.4, so it is unikely that the population has counts that are 100 high C. D. 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. There enough evidence to conclude that the sample is om a population with mean less than 54, so 't is possible that the population has counts that are too high.

Explanation / Answer

Solution:

Final conclusion:

P-value is less than 0.05 so we reject the null hypothesis at the 5% significance level

a) Reject Ho. There is sufficient evidence that to support that the sample is from a population with a mean less than 5.4

The results suggest about the sample group

a) 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.

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