**Hypothesis Test for the Difference of Population Means: Paired**(a) **State the Null and Alternative Hypothesis:** - \( H_0 \): [ ] - \( H_1 \): [ ](b) **Determine the Type of Test Statistic to Use:** - Type of test statistic: (Choose one) [Dropdown menu](c) **Find the Value of the Test Statistic:** - [Input box] (Round to three or more decimal places.)(d) **Find the Critical Value at the 0.05 Level of Significance:** - [Input box] (Round to three or more decimal places.)(e) **Conclusion at the 0.05 Level:** - Can the company conclude that the mean assembly time for Process 1 exceeds that of Process 2? - [ ] Yes - [ ] No A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the standard process used for several years, and Process 2 is an updated process hoped to bring a decrease in assembly time. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below:| Worker (k) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 ||------------|----|----|----|----|----|----|----|----|| Process 1 | 79 | 39 | 56 | 72 | 49 | 90 | 75 | 67 || Process 2 | 74 | 19 | 60 | 77 | 38 | 75 | 44 | 44 || Difference (Process 1 - Process 2) | 5 | 20 | -4 | -5 | 11 | 15 | 31 | 23 |Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding \(\mu_d\) (which is \(\mu\) with a letter "d" subscript), the population mean difference in assembly times for the two processes. Assume that this population of differences (Process 1 minus Process 2) is normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.)(a) State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\).- \(H_0\): - \(H_1\): Carry out the hypothesis test using these hypotheses to determine if Process 1's mean assembly time significantly exceeds that of Process 2.

Given, Worker Process 1 Process 2 difference d = (Process 2-Process 1) 1 79 74 -5 2 39 19…

Answered: (a) State the null hypothesis Ho and…

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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Q3 Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2125 passengers cars in a particular region, 229 had only rear license plates. Among 326 commercial trucks, 47 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passengers cars. Use a 0.01 significance level to test that hypothesis. A. Identity the nulls and alternative hypotheses B. Identify the test statistic ( round to two decimal places as needed) C. Identify the p- values (round to two decimal places as needed ? State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. A. Fail to reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners…
If the null hypothesis is false, you cannot make which kind of error? Type I Type II
Test the claim that the mean GPA of night students is larger than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be: Но: р — 0.775 Но:р> 0.775 Но: и — 3.1 Но:р 3.1 Н:р+ 0.775 Hi:р 3.1 H]:p > 0.775 Hi:р < 3.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 80 people, the sample mean GPA was 3.14 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -
The principal of a school would like to investigate whether more than 40% of the senior learners smoke. The study involved a random sample of 120 learners and 60 learners reported that they were smokers. Let: p= the population proportion of senior learners who smoke. p¯= the sample proportion of senior learners who smoke. (a) give the standard error of p¯ under the null Hypothesis (b) calculate the value of the test statistic (c) give the p-value
Test the claim that the proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но:р — 0.2 Но: и 0.2 Ho:H Ho:H H:р + 0.2 Н]:р 0.2 Hi:р > 0.2 Hi:р#0.2 0.2 Но:р || The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Machines at a factory are supposed to dispense 250 grams of sugar per pack. A random sample of sugar packs is taken from the factory, and their contents (in grams) are measured. Following are the sample data: 247 247 247 248 249 250 250 250 251 251 Is there sufficient evidence to conclude that the machines do not conform to the indicated sugar amount? Use 0.10 level of significance. Which case for hypothesis testing must be used? ( Select ] What is the alternative hypothesis? ( Select ] What is the value of the test statistic? [ Select ] What is/are the critical value/s? Select ] What is the appropriate conclusion? [Select
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According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students in his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, HA: p < 22% H0: p ≠ 0, HA: p = 0 H0: p = 22%, HA: p > 22% H0: p = 22%, HA: p ≠ 22% Suppose that the result is to Fail to reject H0.Which is the proper conclusion? There is sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students. There is not enough information to answer this question. There is not sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students.
If we fail to reject the null hypothesis when the alternative hypothesis is true, we have made a type Il error. type a error. correct decision. type B error. type I error.
Test the claim that the proportion of people who own cats is larger than 20% at the 0.005 significance level. The null and alternative hypothesis would be: H2:p = 0.2 Họ:p 2 0.2 H9:p 0.2 H9:p = 0.2 Hg: u 0.2 H1: u 0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 300 people, 24% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Historically, 72% of students who take the PREPWell SAT preparation course improve their scores (where "improvement" denotes a score increase of at least 10 points). A new version of the PREPWell course is tested on a random sample of students, and 75% of them improve their scores. The PREPWell company is conducting a hypothesis test to determine whether the new version of the course actually gives better results. The hypotheses are H0: p = 0.72 Ha: p > 0.72 where p = the proportion of all students taking the new version of the PREPWell course that will improve their SAT scores For each description below, choose from the drop-down list to indicate which decision (A, B, or C) corresponds to it. (Each decision choice can be used once, more than once, or not at all.) Possible decisions:           A.  Reject the null hypothesis               B.  Do not reject the null hypothesis               C. Accept the null hypotheses Even though the proportion of students with…

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(a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁:0 b) Determine the type of test statistic to use,