It is of interest to verify that the content of coke-filled bottles is the prescribed 13ounces. Assuming that the content is a random variable having a normal distributionN(μ, 0. 04), a random sample of size n=25 is taken and it is found that thesample mean is 12.9. Test the null hypothesis=Ho: μΗ : μ < 13at the 5% level of significance. The value of the test statistic and the decision are13 vs0, do not reject the null hypothesis-12.5, reject the null hypothesis-0.5, do not reject the null hypothesis-2.5, reject the null hypothesis

Given: The content of coke-filled bottles is Normally distributed as N(μ,0.04). Sample size, n =25…

Answered: It is of interest to verify that the…

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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A population of values has a normal distribution with u = 36 and o = 31.3. You intend to draw a random sample of size n = 12. Please answer the following questions, and show your answers to 1 decimal place. Find the value separating the bottom 11% values from the top 89% values. Find the sample mean separating the bottom 11% sample means from the top 89% sample means.
Find the standardized test statistic t for a sample with n = 20, x=6.8, s= 2.0, and o = 0.05 if Hau < 7.2, Round your answer to three decimal places.
It is of interest to verify that the content of coke-filled bottles is the prescribed 13 ounces. Assuming that the content is a random variable having a normal distribution Nμ,0.04, a random sample of size n=25 is taken and it is found that the sample mean is 12.9. Test the null hypothesis
Test the claim about the difference between two population means u, and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: u, = H2; a=0.10. Assume o? =o? Sample statistics: x1 = 33.1, s, = 3.5, n, = 14 and X2 = 35.8, s2 = 2.2, n2 = 19 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H12 H2 O B. Ho: H1 H H: H1 H2 O C. Ho: H1 Hz Ha: H1 SH2 Find the standardized test statistic t. (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. O Time Remaining
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Ho : p = 0.3 vs Ha : p < 0.3 using the sample results p = 0.19 with n = 202 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statistic = i p-value = i
Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5 % significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test Ho : µ = 10 vs Ha : µ > 10using the sample resultsI = 13.2, s = 8.7, with n = 12. (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = p-value =
Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15. Give the test statistic and the p-value. What is the conclusion?
Suppose x has a normal distribution with σ = 9. A random sample of size 36 has sample mean 20. Find a 95% confidence interval for μ.
Test the claim about the difference between two population means µ1 and µ2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 41 = H2; a = 0.05. Assume o? =o; Sample statistics: x, = 31.8, s, = 3.4, n, = 12 and X2 = 34.7, s2 = 2.3, n2 = 1 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H12H2 Ha: H1 H2 OF. Ho: H1> H2 Ha: H1 SH2 Find the standardized test statistic t. t=| (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to reject the claim.
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Ho : p = 0.3 vs Ha : p < 0.3 using the sample results p = 0.23 withn = 202 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statistic = i ! p-value = i
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.Test H0:p=0.5 vs Ha:p>0.5 using the sample results p=0.56 with n=50 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.test statistic = p-value = Conclusion: Do not reject

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