A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean isfound to be x = 28.3 and the sample standard deviation is found to be s = 6.3. Determine if the population mean isdifferent from 25 at the a=0.01 level of significance. Complete parts (a) through (d) below.(a) Determine the null and alternative hypotheses.Ho▼ 25▼ 25H₁:

Suppose μ is the population mean.

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

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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9.5 Standard error of the mean. A random sample from a certain population has I = -44.6, s = 6.02, and n = 25. It is planned to conduct a test of Ha : µ << -40. (a) What is the null hypothesis in this case? (b) Do the summary statistics give some evidence that Ha is true? (c) Compute the estimated standard error of the mean, SEM= s/Vn. (d) Would it be surprising if Ho were true? Answer "yes" or "no," using two SEMS as the threshold of surprise. 35
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Automobile Parts: An important manufacturing process produces cylindrical component parts for the automotive industry. It is important that the process produce parts having a mean diameter of 5.0 millimeters. The engineer involved conjectures that the population mean is 5.0 millimeters. An experiment is conducted in which 100 parts produced by the process are selected randomly and the diameter measured on each. It is known that the population standard deviation is σ = 0.1 millimeter. The experiment indicates a sample average diameter of x = 5.027 millimeters. Does this sample information appear to support or refute the engineer's conjecture?
ကြိုး ✓ X Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) H group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. n H OA H₂:₁ = 4²₂ H₁: Hy #1₂ an example Get more help. Gi Hoi Ky 12 H₁: Hy > H₂ The test statistic, t, is 0.12. (Round to two decimal places as needed.) The P-value is 0.453. (Round to three decimal places as needed.) State the conclusion for the test. # 3 80 F3 Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. Is it valid to argue that magnets might appear to be…
A nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.02 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.4 Ha: μ≠3.4 Your answer is correct. B. H0: μ>3.4 Ha: μ≤3.4 C. H0: μ≤3.3 Ha: μ>3.3 D. H0: μ≤3.4 Ha: μ>3.4 E. H0: μ>3.3 Ha: μ≤3.3 F. H0: μ≠3.3 Ha: μ=3.3 (b) Identify the standardized test statistic. z=negative 1.34−1.34 (Round to two decimal places as needed.)
A random sample of 49 measurements from a population with population standard deviation ?1 = 3 had a sample mean of x1 = 11. An independent random sample of 64 measurements from a second population with population standard deviation ?2 = 4 had a sample mean of x2 = 13. Test the claim that the population means are different. Use level of significance 0.01.
Single Sample t-test. Compute for the z or t value and decide whether to retain or reject the null hypothesis. Provide an explanation for the decision I. 1. In the past, a machine has produced washers having a thickness of 0.050 inch (in). To determine whether the machine is in proper working order, a sample of 10 washers is chosen, for which the mean thickness is 0.053 in and the standard deviation is 0.003 in.
9.2.10-T Question Help Men Women H2 A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 11 59 97.65°F 0.92°F 97.23°F 0.71°F X a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? O A. Ho: H1 =H2 O B. Ho: H1 = H2 H1: µ1 # 42 H1: 41> H2 OC. Ho: H12 H2 O D. Ho: 41 # H2 H1: 41
15
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