Suppose the grade point average (GPA) of a random sample of 50 college graduates wasdetermined to be 2.48 with a standard deviation of 0.41. Construct a 99% confidence intervalfor the mean GPA of all college graduates. Interpret the result.4.5.To estimate the mean hourly pay of pay for employees of a large supermarket chain, howmany employees must be sampled if we wish to estimate the mean hourly wage to within$1.50 with a confidence level of 90%. Assume a population standard deviation of $6.25.

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Answered: Suppose the grade point average (GPA)…

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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Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end. You have just received your score in a mathematics aptitude test. Given your score was 82 and the mean score on the test was 73 with a standard deviation of 5. Assume that the test scores are normally distributed. a. Find the median and the mode, and compare it with the given mean value. b. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 10, µ ± 20, μ ± 30.
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 16 days. In what range would you expect to find the middle 95% of most pregnancies? Between and If you were to draw samples of size 59 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample? Between and Enter your answers as numbers. Your answers should be accurate to 1 decimal places. Question Help: Message instructor Submit Question 824 tv esc 20 888 F1 F2 F3 F4 F5 F6 @ # $ % & 1 2 4 Q W Y T
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Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 24.7. Find the first quartile Q,. which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
One year the ACT had a mean score of 22.7 and a standard deviation of 4.1. minutes. (a)Calculate the z-score of an ACT score of 25. Interpret it using a complete sentence. B. What ACT score is 1.5 standard deviations above the mean? What can you say about this consumption
Assume that the test scores for biostatistics midterm examination are normally distributed with a mean of 74 and a standard deviation of 10. i. Suppose that you receive a score of 88. What percent of the class received scores higher than yours? ii. Suppose that the teacher wants to limit the number of A grades in the class to no more than 20%. What would be the lowest score for an A?
Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was $672. For 23 teenage girls, it was $559. From past years, it is known that the population standard deviation for each group is $180. Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls. Conduct a hypothesis test at the 5% level. State the distribution to use for the test. (Round your answers to two decimal places.) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) i. ii. ii.
The mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?
The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 15 days. In what range would you expect to find the middle 50% of most pregnancies? Between and If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 50% of most averages for the lengths of pregnancies in the sample? Between and Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
Assume that adults have IQ scores that are normally distributed with a mean of 100.9 and a standard deviation 19.5. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)

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