A simple random sample of size n= 15 is drawn from a population that is normally distributed. The sample mean is found to be x= 25.9 and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from24 at the a = 0.01 level of significance. Complete parts (a) through (d) below.(a) Determine the null and alternative hypotheses.Ho:24H,:V24(b) Calculate the P-valueP-value =(Round to three decimal places as needed.)(c) State the conclusion for the test.O A. Reject Ho because the P-value is greater than the a = 0.01 level of significance.O B. Rejeci Question Viewer P-value is less than the a = 0.01 level of significanceOC. Do not reject Ho because the P-value is greater than the a= 0.01 level of significance.O D. Do not reject Ho because the P-value is less than the a = 0.01 level of significance.(d) State the conclusion in context of the problem.ThereV sufficient evidence at the a= 0.01 level of significance to conclude that the population mean is different from 24.O Time Remaining: 02:02:25NextMacBook ProG Search or type URL23$&.12з45678deleteQWERTYADGHV

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Answered: A simple random sample of size n= 15 is…

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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3. A fitness center claims that its members lose an average of 12 pounds or more the first month after joining the center. An independent agency that wanted to check this claim took a sample of 45 members and found that they lost an average of 10 pounds within the first month with standard deviation of 3 pounds. Find the p-value for this test. What will your decision be if a =0.05? Solution: Step 1: State the hypotheses. Step 2: The level of significance and critical region. a =, and zeritical = Step 3: Compute for the value of one sample z test. zcomguted = and p-value = Step 4: Decision rule. Step 5: Conclusion.
A sample of 34 observations is selected from a normal population. The sample mean is 45, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ = 46 H1: μ ≠ 46 Is this a one- or two-tailed test? multiple choice 1 One-tailed test Two-tailed test What is the decision rule? multiple choice 2 Reject H0 if −2.326 < z < 2.326 Reject H0 if z < −2.326 or z > 2.326 What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief. Which of the following is the correct test statistic for the hypothesis test? A t = 63-64.2 2.9 63-64.2 2.9 t 3= 63-64.2 29 40 64.2-63 t 3= 2.9 64.2-63 t = 2.9 US 1 DELL 么 & %24 %23 || E.
We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is less than 2.2 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.3 seconds and a standard deviation of 0.5 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 12, and it is from a population with a distribution about which we know very little. O z = O t = O It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with a known standard deviation of 0.40. O z = O t = O It is unclear which test statistic to use.
I
a. State the Null and Alternative Hypotheses and Choose the appropriate statistical test b. Determine the Level of Significance and the Critical Value c. Solve for the computed value
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 3.12 s = 0.59 n = 9 α = 0.01 H0: µ = 2.85 H1: µ > 2.85 The test statistics is (Round to three decimal places)NOTE QUESTIONS 12-14 ARE RELATED)
A sample mean, sample standard deviation, and sample size are given. Perform the required hypothesis test about the mean, μ, of the normal population from which the sample was drawn. H0: μ = 132, Ha: μ ≠ 132, x=137 , s = 14.2, n = 20, α = 0.10 P-value = 0.0582. Reject H0. There is sufficient evidence to conclude that the mean is different from 132. P-value = 0.0659. Reject H0. There is sufficient evidence to conclude that the mean is different from 132. P-value = 0.1318. Do not reject H0. There is not sufficient evidence to conclude that the mean is different from 132. P-value = 0.1164. Do not reject H0. There is not sufficient evidence to conclude that the mean is different from 132.
A sample mean of 22298, sample standard deviation of 14200, and sample size of 17, Ho μ=30000, H1: p+30000, a-0.05 are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the P-value approach. Also, assess the strength of the evidence against the null hypothesis. a. Test statistic: t = -2.24. P-value = 0.035; Do not reject the null hypothesis. O b. Test statistic: t = -2.24. P-value = 0.35; Do not reject the null hypothesis. c. Test statistic: t = -2.24. P-value = 0.35; Reject the null hypothesis. O d. Test statistic: t = -2.24. P-value = 0.035; Reject the null hypothesis.
65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
Q1: A researcher was interested in the effect of exercise on stress levels. For the general population, the distribution of the Stress Battery Scale scores is normal with the mean of µ = 25 and the standard deviation of σ = 5. A sample of n = 100 participants was asked to exercise for three weeks and then reported their stress levels. The sample mean was ?X = 23. Conduct a hypothesis test and determine the effect of exercise. Use the two-tailed test α = .01 1.Type the null and research hypotheses in complete sentences. 2.Cut off points 3.Standard error and z-score -show your computation process 4.Your conclusion thoroughly.
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