9The test statistic is, |TS| = _______a1.654 b1.782 c1.853 d1.931 Questions 8-12 are related to the following:Consider the following hypothesis test.Ho: μ 2 120H1: µ< 1208This test is:An upper-tail test.A lower-tail test.aA two-tail test.dA closed-interval test.You obtain the following random sample to test the hypothesis in the previous question.134100901281561231381231141066316111482113113837512311213814114113060143102128841191428912615972126112601199713615311613289110941451071309812413913412610612295153100961771271071087179140981681381437611810711510214398126141153999911910773158143108111104671288610991190113991421561239513810715310811611813912512310212711483127126124841091021298387116898412810588130124131931451471389811315511481

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Answered: Questions 8-12 are related to the…

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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Question 16 The p-value for a hypothesis test turns out to be 0.08969. At a 9% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0
Question 2 The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.Test H0 : p1=p2 vs Ha : p1<p2 when the samples have n1=170 with p^1=0.17, and n2=80 with p^2=0.23. The standard error of p^1-p^2 from the randomization distribution is 0.06.Find the value of the standardized z-test statistic.Round your answer to two decimal places.z= Enter your answer in accordance to the question statement
Question 19: "Trydint" bubble-gum company claims that 3 out of 10 people prefer their gum to "Eklypse". Test their claim at the 99 confidence level.The null and alternative hypothesis in symbols would be: H0:p≤0.3H0:p≤0.3H1:p>0.3H1:p>0.3 H0:μ=0.3H0:μ=0.3H1:μ≠0.3H1:μ≠0.3 H0:μ≤0.3H0:μ≤0.3H1:μ>0.3H1:μ>0.3 H0:p≥0.3H0:p≥0.3H1:p<0.3H1:p<0.3 H0:μ≥0.3H0:μ≥0.3H1:μ<0.3H1:μ<0.3 H0:p=0.3H0:p=0.3H1:p≠0.3H1:p≠0.3 The null hypothesis in words would be: The proportion of all people that prefer Trydint gum is 0.3 The proportion of all people that prefer Trydint gum is less than 0.3. The average of people that prefer Trydint gum is not 0.3. The average of people that prefer Trydint gum is 0.3. The proportion of all people that prefer Trydint gum is greater than 0.3. The proportion of people in a sample that prefers Trydint gum is 0.3. The proportion of people in a sample that prefer Trydint gum is not 0.3 Based on a sample of 50 people, 5 said they prefer "Trydint" gum…
Question 16 A null hypothesis H0 was rejected at the significance level = 0.10. What will the result of the hypothesis test be at the significance level = 0.05?
Question No. 9-14: A mail-order business pride itself in its ability to fill customers’ orders in six calendar days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fill the customers’ orders is six or less unless the data suggest strongly otherwise. Establish the appropriate null and alternative hypotheses. On one occasion where a sample of 40 customers was selected, the average number of days was 6.65, with a sample standard deviation of 1.5 days. Can the operations manager conclude that this mail-order business is achieving its goal? Use a significance level of 0.025 to answer this question. Calculate the p-value for this test. Conduct the test using this p-value.
Question 12: Test the claim that the proportion of men who own cats is larger than 50% at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 53% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Questions 4 to 8 are based on the following problem: The following data summarize the results from an independent measures study comparing three treatment conditions. I II III n = 6 n = 6 n = 6 M = 4 M = 5 M = 6 N = 18 T = 24 T = 30 T = 36 G = 90 SS = 30 SS = 35 SS = 40 ΣX2tot = 567 Use an ANOVA with α = .05 to determine whether there are any significant differences among the three treatment means The null hypothesis in symbols is
Question 16: Test the claim that the proportion of people who own cats is larger than 50% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5H1:p>0.5H1:p>0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5H1:p<0.5H1:p<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 56% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Question 13 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 If the null and alternative hypotheses can be used to decide whether the new filtration system could be superior. Calculate the standardized test statistic.
Question 20 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Formulate the null and alternative hypotheses that can be used to decide whether the new filtration system could be superior. H0: the hypothesized mean is greater zero H0: the hypothesized mean is less than zero Ha: the hypothesized mean is less than zero Ha: the hypothesized mean…
Question 11 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, use the 0.05 level of significance in determining whether the new filtration system could be superior. Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Use the 0.05 level of significance to determine whether the new filtration system could be superior. A. There is enough evidence to support the claim B. There is no enough evidence to support the claim…
Question 15 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 The null and alternative hypotheses are being used to decide whether the new filtration system could be superior. At 5%% level of significance, find the critical value (s). 1.833 -1.833 1.645 -1.645

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9	The test statistic is, \|TS\| = _______
a	1.654
b	1.782
c	1.853
d	1.931