Consider the hypothesis test Ho: ₁ = 2₂ against H₁:₁₂. Suppose that sample sizes aren = 10 and n₂ = 10, that ₁ = 7.8 and ₂ = 5.6 and that s = 4 and s2 = 9. Assume thato= 0 and that data are drawn from normal distributions. Use a = 0.05. Test the hypothesisand find the P-value.O a. Reject the Null HypothesisO b. Fail to reject the Null Hypothesis P-value = P(t > 1.93) and 0.025 < P-value < 0.05c. None among the choicesd. Reject the Null Hypothesis P-value = P(t > 1.93) and 0.025 < P-value < 0.05

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Answered: Consider the hypothesis test Ho: ₁ = ₂…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two independent samples have been selected, 88 observations from population 1 and 72 observations from population 2 The sample means have been calculated to be 7₁ = 6.7 and 7₂ = 9.6. From previous experience with these populations, it is known that the population variances are 0 = 39 and o2 = 33. You hypothesize that the two samples come from different normal distributions. Specifically, your Null hypothesis is Ho: (1= 2) and H₁: (4₁> H₂) (a) Find (71-72) answer: (b) Determine the rejection region for the test of Ho: (H1-H2) = 2.46 and H₁ (1-2) > 2.46 Use ax = 0.01. z> (c) Compute the test statistic. T = The final conclusion is A. We can reject the null hypothesis that (1-2) = 2.46 and accept that (₁-₂) > 2.46. B. There is not sufficient evidence to reject the null hypothesis that (1-2)=2.46. (d) Construct a 99 % confidence interval for (#1 - 1₂). ≤ (14-1₂) ≤
A researcher wonders if a “majority” of all residents of a particular city were in favor of a newly proposed city ordinance. Her hypotheses are H0: p = 0.5 versus Ha: p > 0.5. She collected data from a large enough random sample of residents (in order to use the normal approximation), and the resulting sample proportion was 0.41. The researcher has a few interns working on this project and has asked them to conduct the appropriate test and report an approximate p-value. Unfortunately, she received three different p-values from her interns: Chris reported a p-value of 0.08 Jamie reported a p-value of 0.41 Taylor reported a p-value of 0.62 A. Which of her interns reported a reasonable p-value? Explain. Hint: The precise p-value cannot be computed here, but you can eliminate interns' guesses. B. Use the p-value from part (a) to determine if a majority of all residents of the city were in favor of a newly proposed city ordinance.
A sample is selected from a population with µ = 80. After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s2 = 100. A. If the sample has n = 4 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. SM = __________________ tcritical = __________________ tcalculated = ___________________________ Decision = __________________ B. If the sample has n = 25 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. SM = __________________ tcritical = __________________ tcalculated = ___________________________ Decision =…
A company is doing a hypothesis test on the variation of quality from two suppliers. They believe that one of the suppliers has a different variance than the other supplier and would like to perform a hypothesis test to support their claim. Both distributions are normal, and the populations are independent. use a = 0.01 Ho: σ12- σ2 2 HA:0 1 Supplier 1: standard deviation = 3.54, Sample size = 24 Supplier 2: standard deviation = 8, Sample size = 29. The test statistic (rounded to 4 decimal places) is = The p-value (rounded to 4 decimal places) is = O Reject the null hypothesis - there is enough evidence is support a meaningful difference in the variance of the suppliers. O Fail to reject the null hypothesis - there is not enough evidence to support a meaningful difference in the variance of the suppliers.
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do for b, c, and d also remember to find he 99% confidence interval too
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Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or Iμ placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. O A. Ho: H₁ = H2 H₁: H₁ H₂ C. Ho: M₁

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