Previous ProblemProblem ListNext ProblemA random sample of 100 observations from a population with standard deviation 25.11 yielded a sample mean of 94.21. Given that the null hypothesis is u = 90 and the alternative hypothesis is u > 90 using a = .05, find the following:(a) Test statistic =(b) P- value:(c) The conclusion for this test is:A. There is insufficient evidence to reject the null hypothesisB. Reject the null hypothesisC. None of the above2. Given that the null hypothesis is u= 90 and the aiternative hypothesis is u 90 using a=.05, find the followingTest statistic =(b) P- value:(C) The conclusion for this test is:A Reject the nul hypothesisB. There is insufficient evidence to reject the nul hypothesisC. None of the above

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Answered: A random sample of 100 observations…

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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2. Consider the following null and alternative hypothesis. H:µ = 120 Ha:µ > 120 versus A random sample of 81 observations taken from this population produced a sample mean of 123.5 and a sample standard deviation of 15. If this test is made at 2.5 % significance level, would you reject the null hypothesis?
If the decision rule for a one-tailed test of hypothesis is given as: Reject Ho if z<-2.36. What is the value of alpha?
You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are: Ho: μ=100 H1:μ<100H You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less…
Perform the following hypothesis test: HO: µ = 10 H1: µ 10 The sample mean is 9.55, population standard deviation of 1.5 and a sample size of 51. Use a 5% significance level. What is the value of the test statistic? (Give your answer rounded to 2 decimals) (Be careful to make sure your + or - sign is correct)
To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of μ = 40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 35. (Use the 4-step procedure to conduct the hypothesis test) If the sample variance is s2 = 32, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05? If the sample variance is s2 = 72, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05? Comparing your answer for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?
You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha : p ‡ 0). You have a data set with 7 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of a = 0.05. Find the critical value for this test. rc.v. = ± Report answers accurate to three decimal places.
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A sample of 30 observations is selected from a normal population. The sample mean is 59, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.02 significance level.H0: μ = 62H1: μ ≠ 62 a. Is this a one- or two-tailed test? (One-tailed or Two-tailed) b. What is the decision rule? (Reject H0 if −2.326 < z < 2.326 or Reject H0 if z < −2.326 or z > 2.326) c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)The value of the test statistic is d. What is your decision regarding H0? (Reject H0 or Fail to reject H0) e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)The p-value is e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)There is a % chance of finding a z value this large by "sampling error" When H0 is true.
The claim is that for 8 AM body temperatures of males, the mean is less than 98.6°F. The sample size is n = 36 and the test statistic is t= -3.675. Use technology to find the P-value. Based on the result, what is the final conclusion? Use a significance level of 0.01. State the null and alternative hypotheses. Ho: HV H₁: p V (Type integers or decimals. Do not round. Do not include the degree symbol in your answer.) The test statistic is. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Based on the P-value, there ▼sufficient evidence at a significance level of 0.01 to G ▼the claim that for 8 AM body temperatures of males, the mean is less than 98.6°F.
The mean height of a certain kind of plant is 172 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 172. State the null hypothesis H, and the alternative hypothesis H , that we would use for this test. Ho: 0 H;: 0 O S OSO Submit A Continue
pleaseee sir solve question 14 and 15
16) Answer (T/F) true or false: a- The alternative hypothesis is stated in terms of a sample statistic. b- a large P-value indicates strong evidence against Ho. c- If there is sufficient evidence to reject Ho at a=0.10, then there is sufficient evidence to reject it also at a=0.05. d- If the population mean is known, there is no reason to run a hypothesis test on the population mean. e- The P-value is usually chosen before an experiment is conducted. f- A well-planned test of significance should result in a statement either that Ho is true or that it is false.

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