A random sample of 45 medical school applicants at a university had an average MCAT score of 27.2 with astandard deviation of 2.5. The dean of admissions wants to know if the applicants at their university have atrue average that is different than the national average of all applicants, which is 30. Test at .05significance.Ho:-HAHTest Statistic: -7.5127#Submit Question3030P-value:Did something significant happen? Select an answerSelect the Decision Rule:Select an answerThere Select an answerenough evidence to concludeSelect an answer

Answer: From the given data, Sample size (n) = 45 Sample mean x¯ = 27.2 Standard deviation (s) = 2.5…

Answered: A random sample of 45 medical school…

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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The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 352 minutes. For a sample of 54 patients the mean time the drug stayed in the system was 360 minutes. Assume the population standard deviation is 25. Find the p-value of the test statistic
bout 4% of the population has a particular genetic mutation. 300 people are randomly selected.Find the standard deviation for the number of people with the genetic mutation in such groups of 300. (Remember that standard deviation should be rounded to one more decimal place than the raw data, in this case 1 decimal place is necessary.)
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An Intelligence test score for adults is normally distributed with a mean of 100 and population standard deviation of 15. What is the probability we could select a sample of 64 adults and find that the mean of this sample is between 98 and 103? (answer rounded to 2d.ps)
In a random sample of ten cell phones, the mean full retail price was $554.00 and the standard deviation was $167.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.)
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 226-cm and a standard deviation of 1.1-cm. For shipment, 28 steel rods are bundled together.Find P58, which is the average length separating the smallest 58% bundles from the largest 42% bundles.P58 = -cmEnter your answer as a number accurate to 2 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?
the FAA changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 160 pounds as a typical passenger weight (including carry-on luggage) in warm months. A journal reported that an airline conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 14aß pounds. Suppose that each of these estimates was based on a random sample of 100 passengers and that the sample standard deviations were 15 pounds for the summer weights. Construct a 95% confidence interval for the mean summer weight (including carry-on luggage) of this airline's passengers. (Show the detailed steps, and round your answer to three decimal places.)

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