In a test of hypothesis, the null hypothesis is that σ₁ = 02and the alternative hypothesis is 0₁ > 2. Samples of sizesn₁ = 15 and n₂ = 16 selected from two normalpopulations produced standard deviations of $1 = 3.51and $2 = 4.32, respectively. What is the approximate p-value for this test?O e. 0.3243O c. 0.2594O d. 0.6486O b. 0.7782a. 0.3514

The given data is as follows:The hypothesis is vs Sample sizes are Sample standard deviations are

Answered: In a test of hypothesis, the null…

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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It is reported in USA Today that the average flight cost nationwide is $595.711. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $595.711. The hypotheses for this situation are as follows: Null Hypothesis: µ 595.711. A random sample of 30 flights shows an average cost of $584.559 with a standard deviation of $59.3656. What is the test statistic and p-value for this test? 1) Test Statistic: 1.029, P-Value: 0.156 2) Test Statistic: -1.029, P-Value: 0.844 3) Test Statistic: -1.029, P-Value: 0.156 4) Test Statistic: -1.029, P-Value: 1.688 5) Test Statistic: 1.029, P-Value: 0.844
If a sample of size n = 25 is chosen from a normal population, which one of the following is a 95% confidence interval for the population mean when the sample mean is 50 and the sample standard deviation is 6.5? 50 2.064(6.5) O 50 ± 2.06(1.3) 50 ± 2.06(6.5) O 50± 2,064(1.3)
Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s is 25 and µo = 10.5. Suppose we now want to test Ho : o² = of versus H1 : o? + of. Which of these test statistics should we use? Select one: O a. W = (n-1)s O b. Z X-P O c. T = S/n Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.
A random sample of 100 observations from a population with standard deviation 39 yielded a sample mean of 107. Complete parts a throughc below. a. Test the null hypothesis that u = 100 against the alternative hypothesis that u > 100, using a =0.05. Interpret the results of the test. What is the value of the test statistic? (Round to two decimal places as needed.) z=
For a population with mean of 50 and standard deviation of 8, what is the raw score that corresponds to z=0.75? 56 b. 46 C. 42 d. 70 е. 52 a.
Grand Sun Buffet is a large restaurant chain. After paying for a meal at Grand Sun Buffet, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of µ=3.88, with a standard deviation of o=1.38. Suppose that we will take a random sample of n=8 customers' ratings. Let x representřthe sample mean of the 8 customers' ratings. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find u- (the mean of the sampling distribution of the sample mean). (b) Find o– (the standard deviation of the sampling distribution of the sample mean). Continue Submit Assignment O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility tv ?? 23 DII F3 F6 F7 F8 3 24 % & 3 4 6 7 81 2'
If the t-statistic for a single sample t-test is 1.58, what can you conclude? a. The test is significant at an alpha level of .05. b. The sample size of the test was at least 30. c. The sample mean was larger than the population mean. d. The population standard deviation was smaller than the difference between the sample mean and the population mean.
Lexus administered a Math Assessment test to a random sample of 50 graduating students. In this sample, the mean is 94 and standard deviation of 8. The population parameter are μ=88 and σ=15. Is the performance of the sample above average? Use α=0.05 and the p-value method.a. What is the p-value?0.00230.00460.0010none of theseb. The alternative hypothesis isμ≠88μ>88μ<88none of thesec. The null hypothesis isμ=88μ≥88μ≤88none of these d. Based on the result, the decision isReject the null hypothesisAccept the null hypothesisNo decisionNone of these
The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148
1. A population of trees within a defined neighborhood has a mean leaf length of 6.2 inches and a standard deviation of .625 inches. After a treatment is administered to the sample, the sample mean is 6.5 inches. What is the value of Cohen’s d for this sample? 2. In what circumstances is the t statistic used instead of a z-score for a hypothesis test? 3. A sample of n = 25 score is selected from a population with a mean of μ = 73, and a treatment is administered to the sample. After treatment, the sample has M = 70 and s2 = 100. If a hypothesis test with a t statistic is used to evaluate the treatment effect, then what value will be obtained for the t-statistic? 4. A sample of n = 4 scores is selected from a population with an unknown mean. The sample has a mean of M = 40 and a variance of s2 = 16. Find the 90% confidence interval for μ?

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