SITUATION 7Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10containers are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.5, and 9.8 liters.Use a 0.01 level of significance and assume that the distribution of contents is normal.(Hint = Use t-distribution, Stat Tables.pdf

Given data set is10.2,9.7,10.1,10.3,10.1,9.8,9.9,10.4,10.5,9.8sample size(n)=10

Answered: SITUATION 7 Test the hypothesis that…

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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Women are recommended to consume 1770 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 11 women who participated in the study is shown below: 1916, 1992, 1708, 1764, 1685, 1667, 1905, 2078, 1922, 1816, 1786 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer < ≠ = > Correct H1:H1: ? p μ Select an answer ≠ < = > Correct The test statistic ? t z Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
Provide two synonyms for “the distribution of all possible sample means for samples of a given size.”
1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
I need help for figuring out how to explain parts a and b.
B. PROBLEM SOLVING: Determine the z-value for each of the following x values for a normal distribution with u = 17 and o = 4. 6. x = 46 7. x = 7 8. x = 3 9. x = 17 10. x = 30 1. x = 13 2. x = 9 3. х%3D 23 4. x = 26 5. x = 18 DTECHNOLOGE AND PHILIP
Do rats take less time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…
Women are recommended to consume 1790 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 15 women who participated in the study is shown below: 1959, 1908, 1789, 1544, 1805, 1656, 1899, 1811, 1686, 1688, 1687, 1943, 1612, 1789, 1467 Assuming that the distribution is normal, what can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0: H1: 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 α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 1790 at α = 0.05, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1790. The data suggest the populaton…
Use the following sample to evaluate H0: μ = 65, at significance level α = 0.05. 53 75 68 53 57 12 4 10 45 94 23 73 9 41 79 92 90 46 49 71 State the correct test and your conclusion. T-test. Reject Ho. T-test. Fail to reject Ho. Z-test. Fail to reject Ho. Z-test. Reject Ho.
Do rats take the same amount of time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 31, 26, 35, 34, 31, 39, 39, 6 Hamsters: 36, 35, 16, 29, 20, 25, 28, 37 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this studv, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer V (please enter a decimal) H1: Select an answer v Select an answer v v (Please enter a decimal) Select an answer b. The test statistic ?v= (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is…
Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Assume that the distributions for each state are normal and that all variances are equal. Arkansas 4.8 4.9 5.0 5.4 5.4 5.4 5.6 5.6 5.6 5.9 6.0 6.1 California. 1.5 3.7 4.0 4.5 4.9 5.1 5.3 5.4 5.4 5.5 5.6 5.6 Texas. 5.6 5.8 6.6 6.9. 6.9 6.9 7.1 7.3 7.5 7.6 7.7 7.7
1.com Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 96 69 83.2 69 65 85.5 74.4 65 85.5 66.5 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: H: Ομ 65 B. State the mean of the sample: 75.91 (Round to two decimal places.) C. State the standard error the sample means: 3.440 (Round to four decimal places.) D. State the test statistic: t = (Round to four decimal places.) E. State the p-value: (Round to four decimal places.) F. Decision: O Do not reject the null hypothesis. O Reject the null hypothesis.
2. For a Normal Distribution where u = 3 and o = 3, where does approximately 95% of the scores fall between?

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