Consider Ho: μ = 72 versus H₁: μ > 72. A random sample of 16 observations taken from thispopulation produced a sample mean of 74.8. The population is normally distributed with o=6.a. Calculate the p-value. Round your answer to four decimal places.P=b. Considering the p-value of part a., would you reject the null hypothesis if the test were made at thesignificance level of 0.01?c. Considering the p-value of part a., would you reject the null hypothesis if the test were made at thesignificance level of 0.025?

One sample z-test is used to compare the significance difference between sample mean and population…

Answered: Consider Ho: μ = 72 versus H₁: μ> 72. A…

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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Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ = 52,500; a = 0.05 Sample statistics: x= 53,637, s= 2400, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. Ο Α. Hρ μ= 52,500 Hai µ#52,500 B. Ho: µ+ 52,500 Hai µ = 52,500 O C. H μ 52,500 Ha: µ 52,500 What is the value of the standardized test statistic? The standardized test statistic is |. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is enough evidence to reject the claim. O B. Fail to reject Ho. There is enough evidence to reject the claim. Click to select your answer(s).
Using a random sample of n = 50, the sample mean is x ̅ = 297.6. Suppose that the population standard deviation is σ=12. Is the above statistical evidence sufficient to make the following claim: μ>295 right tail, one tail at the 1% level of significance? Write the null hypothesis Ho and alternative hypothesis Ha. Calculate the standard error. Calculate the z score. Calculate the p value. What is the conclusion?
You wish to test the following claim (H.) at a significance level of a = = 0.02. H.: 41 Ha: µ1 – µ2 > 0 You obtain a sample of size ị the first population. You obtain a sample of size n2 of s2 57.2 and a standard deviation of s1 85 with a mean of 2 65 with a mean of x1 17.2 from 54.7 and a standard deviation 7.1 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value =
The test statistic, t, is - 22.67. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H 1: p≠0.377, the test statistic is z=3.06.
answer 3
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.
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ=52,500; α=0.10 Sample statistics: x=52,691, s=1900, n=17 LOADING... Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. A. H0: μ≠52,500 Ha: μ=52,500 B. H0: μ≤52,500 Ha: μ>52,500 C. H0: μ=52,500 Ha: μ≠52,500 D. H0: μ≥52,500 Ha: μ<52,500 What is the value of the standardized test statistic? The standardized test statistic is nothing. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. A. Fail to reject H0.…
A random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8
The time to complete an exam is approximately Normal with a mean μ = 47 minutes and a standard deviation o = 8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-3σ μ-2ο μίσ + μ μ+o 47 minutes. 2. Used the Empirical Rule to complete the following statements: 95% of testing times were between and μ = 47 σ = 8 μ+20 μ+30 minutes and 55 minutes. minutes % of the testing times were between 39
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.
The manufacturer claims that your new car gets 23 mpg on the highway. You suspect that the mpg is less for your car. The 50 trips on the highway that you took averaged 19.8 mpg and the standard deviation for these 50 trips was 7.4 mpg. What can be concluded at the � = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: �0: �1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is � Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly less than 23 at � = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 23. The data suggest that the population mean is not significantly less than 23 at � = 0.10, so there is…

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