answer part 3 25 versus H1: µ + 25. The population variance, o, isSuppose you perform the hypothesis test Ho: µknown. The sample size is n53. Assume the significance level is 0.01.Part 1:1) Should you use z or t to find the critical value?OtPart 2 of 4Part 2:2) Choose the correct critical region.Reject Ho if z > zaReject Ho if z < - zgReject Ho if z > %aReject Ho if z - zgReject Ho if z > zgOReject Ho if z <Za or z > ZaO Reject Ho if z > zaReject Ho if z <Za or z 2 ZaReject Ho if z <ZaReject Ho if z <- za or z > zaO Reject Ho if z <ZaO Reject Ho if z <or zPart 3 of 4Part 3:3) Identify the critical value(s). If there are multiple critical values, separate them using commas. If usingz, round to 2 decimals; if using t, round to 3 decimals.Enter a list of integer or decimal numbers [more..]Hint: Check if you used the correct number of decimals. If you selected region with 2 sides, did you provide2 critical values?א

Answered: Image /qna-images/answer/f80714f7-7454-4e6c-ba00-97f452ccb2b0.jpg

Answered: Part 3: 3) Identify the critical…

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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If the T test value (T calculate) for the difference between the means of two large samples is 2.57 when the critical value is 1.96, what is the decision that should be made?1. Fail to reject equal assumption variance.2. Reject the alternative hypothesis.3. Reject the null hypothesis.4. Fail to reject the null hypothesis.
Consider a hypothesis test with H 0: μ = 20 vs H 1: μ ≠ 20) at α = 0.05 on mean of a Normal population with unknown variance. If the sample variance is 4 and the true mean is 18.5, then the sample size required to obtain a power of test at least 80% is close to 15 using an appropriate OC curve. True False
1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.
Answer the following true or false. If false, explain why. a. We can reduce α (alpha) by pushing the critical regions further into the tails of the distribution. b. A decrease in the probability of the type II error always results in an increase in the probability of the type I error, provided that the sample size n does not change. c. The p-value of a left-sided hypothesis test is always half of a two-sided hypothesis test.
3. Continue from the previous question, you are given the following information about y and x. Dependent Variable (y) Independent Variable (x) 5 1 4 2 3 3 2 4 1 5 The point estimate of y when x = 2 is -4. -10. 10. 4. 4. The critical value of t for a two-tailed test with 7 degrees of freedom using α = .05 is 1.943. 2.447. 1.985. 2.365. 5. For a two-tailed hypothesis test with a sample size of 20 and a .04 level of significance, the critical values of the test statistic t are -1.729 and 1.729 -2.093 and 2.093 -2.086 and 2.086 -2.205 and 2.205 6. Use Excel or the normal distribution table to find the correct answer. For a one-tailed test (lower tail) using α = .0430, z = -1.53…
The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs at minimum number of swimmers to sign up in order to be cost effective. Last year’s data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15. Suppose the instructor wants to conduct a hypothesis test. The alternative hypothesis for this hypothesis test is: "the population mean is less than 15". The sample size is 8, σ is known, and alpha =.05, the critical value of z is?
An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college students, 4% are employed as teachers or teaching assistants. At α=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. A. Identify the claim and state HO and Ha B. Find the Critical Value(s) and identify the rejection region(s) C. Find the standardized test statistic d. Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
a) Suppose that we want to get the rejection region for a one-sided right-hand side (small) hypothesis testing at 5% significance level α = 0.05 with sample size, n = 10. Hence, Find the critical region for a one-sided left-hand side (large α) at 1% level α = 0.01 and sample size n = 22 b) A normal population has a variance of 9.0. A random sample of size 9 gives sample variance 8.01 which was drawn from a normal population. Determine whether the variance from this random sample is 9.0. Test at 5% level of significance
It has been suggested that the evening-class students show more variability in their scores than the morning-class students. To test whether this hypothesis is true, Proffessor Fisher collects sample to test the hypoythesis. Below, you are given the results of two independent random samples. Use α = 0.05 Morning Class Evening Class Sample Size 12 10 Sample Mean 89 84 Sample Variance 10 14 a) Formulate the hypotheses. b) Calculate the test statistics (F value) and find critical value to test the hypotheses. What is the conclusion? Clearly show answers with calculations please.
A sample is selected from a population with population mean = 50. After a treatment is administered to the individuals in the sample, the mean is found to be M = 55 and the variance is s2 = 64.a. If the sample has n = 36 scores, then conduct the four steps of hypothesis testing to evaluate the significance of the treatment effect and calculate Cohen’s d to measure the size of the treatment effect. Use a two-tailed test with alpha level = .05.

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Part 3: 3) Identify the critical value(s). If there are multiple critical values, separate them using commas. If using z, round to 2 decimals; if using t, round to 3 decimals. Entor a list of inteder or decimal punnbers (nmere 1