Question

A simple random sample of 48 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 5.19 and the sample standard deviation is 0.53. Use a 0.01 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 are the null and alternative hypotheses? A.H0: μ=5.4 H1: μ≠5.45.4 B.H0: μ=5.4 H1: μ<5.4 C.H0: μ<5.4 H1: μ=5.4 D.H0: μ=5.4 H1: μ>5.4
A. 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. 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. 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. D.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.
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. |
T-Test μ < 5.4 t=−2.745137129 p = 0.0042706624 x = 5.19 Sx = 0.53 n = 48 |

Answer #1

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