MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Test at the 0.05 level of significance whether the mean
of a random
than 10” if the distribution from which the sample was
taken is normal, x = 8.4, and σ = 3.2. What are the null
and alternative hypotheses for this test?
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- A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 196, x= 7.56, s = 1.84. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: μ = 8.00 Ημ 8.00 O D. Ho: μ = 8.00 H₁: 8.00arrow_forwardTest the research hypothesis that there is a difference in weights between the two groups at the 0.05 significance level? Assume the equality of variance, adequate sample size, and normal distribution for both the groups to test the hypothesis. X1 = 200 X2 = 198 n1 = 17 n2 = 17 s1 = 2.45 s2 = 2.35 Please show all the necessary steps of hypothesis testing to answer this question.arrow_forwardA data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 189, x= 6.58, s= 1.84. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. Ηρ: μ= 7.00 B. H0: μ=7.00 H:u>7.00 H1:µ#7.00 OC. Ho: H=7.00 H1: µ 7.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is evidence to conclude that the mean of the population of ratings is 7.00.arrow_forward
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- The p value for a significance test is 0.0215. What is one correct interpretation of this ? - about 2.2 % of the data are significant, as long as P- value is > alpha - about 2.2 % of all samples are significant, as long as p value is < alpha - there is sufficient evidence to reject the null hypothesis (Ho) - there is sufficient evidence to fail to reject the null hypothesis ( Ho)arrow_forwardA data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=190, x=6.51, s=2.04. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? OA. Ho: H=7.00 H₁: μ#7.00 и OC. Ho: 7.00 H₁: μ7.00 G OD. H₂=7.00 H₁: >7.00 8 BA I IYIU L 1 I H B N J I M S K 7.00 O O L > command t option Nextarrow_forwardUse a y-test to test the claim o 2 41 at the a = 0.01 significance level using sample statistics s 37.8 and n= 19 Assume the population is normally distributed.arrow_forward
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