Consider the following hypothesis test:Ho :µ = 18H:u# 18Using a sample of 48 which provided a sample mean of 17 and a sample standarddeviation of 4.5, test the hypothesis at the 5% significant level stating anyassumptions that you make(You NEED to use BOTH the Critical-value approach and p-value approachO a) Reject null hypothesis(O b) None of the answers are correctO) Do not reject null hypothesis

Answered: Image /qna-images/answer/0f8262d0-3fac-4456-9964-ae91b7d060a2.jpg

Answered: Consider the following hypothesis test:…

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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A humane society claims that less than 39% of U.S. households own a dog. In a random sample of 402 U.S. households, 155say they own a dog. At α=0.01, is there enough evidence to support the society's claim? (a) Write the claim mathematically and identify H0 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 (e) interpret the decision in the context of the original claim.
The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
(1) Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is significant (2) What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it daily? (3) Carry out an F -test at the 1% significance level to determine whether the model is significant
A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520 . Suppose you would like to determine if the average weekly pay for all working women is signicantly greater (at alpha = 0.05) than that for women with a high school degree. Using data on weekly pay for a sample of 50 working women, you obtain the following statistics: sample mean = $620, sample error = $150. Conduct the hypothesis test using the critical value approach and the p-value approach.Describe the conclusion of the hypothesis test and what that means in this context
11. Researchers are interested in the effectiveness of a new therapeutic methodology at decreasing performance on the Global Depression Scale (GDS). Suppose clinical relevancy in this field would mandate that the methodology needs to decrease a score on the GDS in a clinically depressed individual by more than points. Which of the following represents the correct null and alternative hypotheses for the t test that should be implemented in this investigation?
Follow the steps in Test of Hypothesis including your conclusion and round off the critical value and test statistic into 4 decimal places Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measures in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12 while another random sample of 16 gears from the second supplier results in x2 = 321 and s2 = 22. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength. Use a =0.04, and assume that both populations are normally distributed with equal variances.
Follow the steps in Test of Hypothesis (pic) including your conclusion and round off the critical value and test statistic 4 decimal places Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measures in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12 while another random sample of 16 gears from the second supplier results in x2 = 321 and s2 = 22. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength. Use a =0.04, and assume that both populations are normally distributed with equal variances.
Q1/ Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? .............................................................................................................................. Q2/ Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
Q1/Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? ........................................................................................................................ Q2 /Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
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 chi-square test of independence value of χ^2=10.56 is calculated from data in a 3 × 3 contingency table. Assuming a .05 level of significance, What is the degree of freedom? Identify the critical value. Do you reject, or fail to reject, the null hypothesis?

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