دباThe U.S. Department of Justice reports that within the past 15 years the national averageprison sentence for aggravated assault is 48.3 months. You sample 1023 aggravatedassault cases from NY during this same time frame and find the following samplestatistics: (mean sentence length = 51.9; standard deviation = 14). Is NY more punitivethan the national average? Use the steps of hypothesis testing to make this determination.

Step 1: Set up the hypothesesNull Hypothesis (H0): The average prison sentence in New York is equal…

Answered: دبا The U.S. Department of Justice…

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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York Manufacturing Inc. offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal distribution, with a mean of 1234 dollars and a standard deviation of 321 dollars. What was the minimum cost for the 8 percent of employees that incurred the highest dental expense?
Help!
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Does the sample size ? affect the standard deviation of all possible samplemeans? Explain your answer.
Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let 4, denote the mean weight lost on the low-carb diet and u, denote the mean weight lost on the low-fat diet. Use the a = 0.01 level and the TI-84 Plus calculator. Compute the -value. Round the answer to four decimal places. Determine whether to reject H0 State a conclusion
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills. The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a. State the null (H0) and alternative (Ha) hypotheses. b. Give the standard score for the data. c. Find the P-value for this significance test. e. Sketch your results on the standard Normal distribution f. Summarize the conclusion in the context of this problem.
An article reports that blue eyed people earn less than brown eyed people. Average blue eyed salary, $35,000, average brown eyes $37,000, p-value 0.45. Based on that reported p-value and using the common definition of "statistical significance" which is the case?
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?
In the US, the average one-way commuting time is 26.4 minutes. Is this different in Atlanta? One survey of 35 Atlanta commuters found an average one-way commuting time of 30.7 minutes. (a) The test statistic is 1.1846. What is the meaning of this test statistic? The average error between different sample results and the hypothesized mean is 1.1846.The current sample result is 1.1846 standard errors above the hypothesized mean. The maximum error between different sample results and the hypothesized mean is 1.1846. (b) Based on the test statistic of 1.1846, what is the p-value to test if the average commuting time in Atlanta is different than the rest of the US? (4 decimals.) (c) On the basis of the above p-value, what can be said regarding a 95% confidence interval for the true average commuting time? The interval contain the value 26.4, because this value . (d) Suppose the sample size was increased to 120 Atlanta commuters, with other values remaining the same. How would…

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