Consider the following hypothesis test: H0 : µ ≤ 50; Ha : µ > 50. Given a sample size of 30, it is determined that ¯x = 56. It is known that σ = 8. Let α = .05(a) Is the test lower-tailed, upper-tailed, or two-tailed? (b) Identify the appropriate critical value. Which distribution did you use to find this value? (c) What is the value of the test statistic? Show your work. (d) Do you reject H0 based on the evidence from the sample? What decision rule did you apply for your conclusion? (e) Now suppose that σ is unknown. What distribution will now be relevant for statistical inference? Repeats parts (b), (c), and (d) when s = 10.

Name: Consider the following hypothesis test: H0 : µ ≤ 50; Ha : µ > 50. Give
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Description: Consider the following hypothesis test: H0 : µ ≤ 50; Ha : µ > 50. Given a sample size of 30, it is determined that ¯x = 56. It is known that σ = 8. Let α = .05(a) Is the test lower-tailed, upper-tailed, or two-tailed? (b) Identify the appropriate cri

Note: Hey, since multiple subparts are posted, we will answer first three subparts according to our policy. If you want any specific subpart to be answered, then please submit that subparts only in your message.a) Alternative hypothesis: Ha : μ >50 That is, the alternative hypothesis is greater than type. Thus, test is upper-tailed. b) Here the sample size (=30) is large enough and population standard deviation is known. Therefore, normal distribution is appropriate in this situation. The z-critical value is 1.645 using the Excel formula “=NORM.S.INV (0.95)”.c) Test statistic: The test statistic for hypothesis test for mean is given by: z=x¯-μσn=56-50830=4.1079

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Consider the following hypothesis test: H0 : µ ≤ 50; Ha : µ > 50. Given a sample size of 30, it is determined that ¯x = 56. It is known that σ = 8. Let α = .05

(a) Is the test lower-tailed, upper-tailed, or two-tailed?

(b) Identify the appropriate critical value. Which distribution did you use to find this value?

(d) Do you reject H0 based on the evidence from the sample? What decision rule did you apply for your conclusion?

(e) Now suppose that σ is unknown. What distribution will now be relevant for statistical inference? Repeats parts (b), (c), and (d) when s = 10.

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