For testing H0 : μ = 120 vs Ha : μ < 120 using the sample results x̄ = 116.3, s = 18.4, with
n = 100. Which of the following below is most correct?
(A). There is not enough information to tell.
(B). z = -2.01, p-value = 0.022, Reject Ha
(C) t = -8.63, p-value = 0, Reject H0
(D). z = -2.01, p-value = 0.022, Reject H0
(E). t = -2.01, p-value = .024, Reject H0
We do not know the population standard deviation so we should use t. Hence,
Test statistic

t = -2.01
Hence,
Optio E is correct.
Suppose that you are testing the hypotheses H0: μ=70 vs. HA: μ≠70. A sample of size 41 results in a sample mean of 65 and a sample standard deviation of 1.7. a) What is the standard error of the mean? b) What is the critical value of t* for a 99% confidence interval? c) Construct a 99% confidence interval for μ. d) Based on the confidence interval, at α=0.010 can you reject H0? Explain.
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The one-sample t statistic for a test of H0: μ = 11 vs. Ha: μ < 11 based on n = 13 observations has the test statistic value of t = −1.25. What is the p-value for this test? a) 0.418 b) 0.882 c) 0.000 d) 0.118 e) 0.235
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Suppose that you are testing the hypotheses Upper H0: p=0.33 vs. HA: p>0.33 A sample of size150 results in a sample proportion of 0.39 a) Construct a 99% confidence interval for p. b) Based on the confidence interval, can you reject H0 at αequals=0.005?Explain. c) What is the difference between the standard error and standard deviation of the sample proportion? d) Which is used in computing the confidence interval?
Compute the value of the test statistic for testing H0: μ = 30 vs. Ha: μ > 30, based on the information σ = 2.53, n = 32, LaTeX: \bar{x}x ¯= 30.2, s = 2.58. a) 2.536 b) 0.439 c) 2.488 d) 0.447 e) 0.089
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