Conduct a full hypothesis testing on the following problem and then choose among the options what bestfits the items being asked:A medical bulletin reports that the average cost of rehabilitation for stroke victims is PhP 750,000. Tosee if the average cost of rehabilitation is different from a certain hospital, a researcher selects arandom sample of 35 stroke victims at the hospital and finds that the average cost of theirrehabilitation is PhP 680,000 with a standard deviation of PhP 100,000. At a-0.01, can it beconcluded that the average cost of stroke rehabilitation at that certain hospital is lower from thereported cost from the medical bulletin?Note: Round off the test statistic to 3 decimal places. If two-tailed test is to be applied, the givencritical values as options are considered the absolute values.Identify the following:- Alternative Hypothesis: H- PhP 750,000. Critical Value: -2.575. Test Statistic: -4.141- Decision: Reject Ho<><>

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Answered: Conduct a full hypothesis testing on…

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 student at a four-year college claims that enrollment at four–year colleges is higher than at two–year colleges in the United States. Two surveys are conducted. Of the 35 two–year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Use the following format to do the hypothesis test: a. H0: _______ b. Ha: _______ c. In words, clearly state what your random variable X represents. 1 − X 2 d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value. h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an…
The Transportation Security Administration would like to compare the average amount of time it takes passengers to pass through airport security at Philadelphia versus Orlando during peak times. A random sample of 25 travelers in Philadelphia spent an average of 14.6 minutes to pass through airport security with a sample standard deviation of 5.8 minutes. A random sample of 27 travelers in Orlando spent an average of 11.5 minutes to pass through airport security with a sample standard deviation of 4.9 minutes. Perform a hypothesis test using α = 0.05 to determine if the average time to pass through security in Philadelphia is more than the average time to pass through security in Orlando. Assume the population variances for time through security at these two locations are equal. Hint: the alternative hypothesis should be μ1 - μ2 > 0.
According to the Annual survey of drugs expenditure in country X, the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individuals in the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given that the population standard deviation of $300. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast and Identify whether it is a two-tail test or a one tail test Ii decide the suitable test statistics and justify your selection. Iii Calculate the value of the relevant test statistics and identify the P value Based on the p value in part (III), at 99% confidence level, decide the decision criteria. Make the final conclusion based on the analysis.
According to the Annual survey of drugs expenditure in country X, the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individuals in the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given that the population standard deviation of $300. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast and Identify whether it is a two-tail test or a one tail test (Left or right tail). Decide the suitable test statistics and justify your Calculate the value of the relevant test statistics and identify the P value Based on the p value in part (III), at 99% confidence level, decide the decision Make the final conclusion based on the analysis.
According to the Annual survey of drugs expenditure in country X, the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country.A sample of 60 individuals in the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given that the population standard deviation of $300. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast and Identify whether it is a two-tail test or a one tail test (Left or right tail). Decide the suitable test statistics and justify your selection. III. Calculate the value of the relevant test statistics and identify the P value Based on the p value in part (III), at 99% confidence level, decide the decision criteria. Make the final conclusion based on the analysis.
A student at a four-year college claims that enrollment at four–year colleges is higher than at two–year colleges in the United States. Two surveys are conducted. Of the 35 two–year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Use the following format to do the hypothesis test: a. H0: _______ b. Ha: _______ Due Date: Tuesday November 24, 10pm c. In words, clearly state what your random variable X represents. 1 − X 2 d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value. h. Indicate the correct decision (“reject” or “do not reject” the null…
On Excel spreadsheet, find the results of the hypothesis test for the equality of the mean production levels between the two locations Tampa, Florida, and Columbus, Ohio. The current production goals for the monthly production level of the cases are a mean of at least 1,000 units per month and a standard deviation of less than 100 units per month. Are the company goals being met for the cases produced at the Tampa, Florida location? Are the company goals being met for the cases produced at the Columbus, Ohio location? Are the mean production levels the same between the Tampa, Florida and Columbus, Ohio locations?
A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area randomly samples 100 elementary school children in their district and find an average one-way commute time of 38 minutes with a standard deviation of 8 minutes. Which of the following is the correct set of hypotheses for testing if the average commute time of elementary school students in this district is different than the commonly cited standard of 30 minutes? H0: μ = 30; HA: x = 38 H0: x = 38; HA: μ = 30 HA: μ = 30; H0: x ≠ 30 H0: μ = 30; HA: μ ≠ 30 H0: μ = 30; HA: μ > 30

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