MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with amean of 76 and a standard deviation of 14. A simple random sample of 45 is taken from a population of 500.a. What is the expected value of the sampling distribution of x?b. What is the standard deviation, rounded to four decimal places, of the sampling distribution of x?c. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be between70 and 80?d. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be greaterthan 65?e. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be less than70?f. If the company wanted to know which people were in the top 15% of their employees, what would the cutoff scoreneed to be?

It is given that Mean, μ = 76 Standard deviation, σ = 14 Sample size, n = 45 Note: According to…

Answered: 14. A simple random sample of 45 is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The average income in a certain region in 2013 was $78,000 per person per year. Suppose th standard deviation is $33,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the region. a. Is the sample size large enough to use the Central Limit Theorem for means? Explain. b. What are the mean and standard error of the sampling distribution? c. What is the probability that the sample mean will be more than $3,300 away from the population mean? a. Choose the correct answer below. A. Yes, it is large enough because the sample size of 100 is greater than 25. B. No, it is not large enough because the sample size of 100 is not greater than 10% of the population. OC. Yes, it is large enough because the population standard deviation of 33,000 is larger tha the sample size of 100. OD. No, it is not large enough because the sample size of 100 is less than 250. b. The mean is $ and the standard error is $ (Type integers or decimals. Do not round.) c. The…
10. Bags of grain in a warehouse have a mean weight of 60 pounds with a standard deviation of 4 pounds. a. In random samples of 36 bags, what is the probability the total weight of the bags is less than 2100 lb? b. In random samples of 36 bags, what is the 80th percentile for the total weight of the 36 bags?
Suppose that in a large population of students, the mean amount of sleep the previous night was ? = 7 hours and the standard deviation was ? = 1.6 hours. Consider randomly selected samples of n = 210 students. (a) What is the value of the mean of the sampling distribution of possible sample means?Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of possible sample means. (Round your answer to three decimal places.) s.d.(x) = (c) Use the Empirical Rule to find values that fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 68% of all randomly selected samples of n = 210 students, the mean amount of sleep the previous night will be between and hours.
Suppose that the efficacy of a certain drug is 0.47. Consider the sampling distribution (sample size n= 179) for the proportion of patients cured by this drug.What is the mean of this distribution? What is the standard error of this distribution? Round your answer to two decimal places.
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of ? b. What is the random variable in this problem? Define it in words. c. What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours? d. What is the probability that the average life in the sample will be greater than 3,219.24 hours? e.Whatistheprobabilitythattheaveragelifeinthesamplewillbelessthan3,180.96 hours?
Monthly cell phone bills for residents of a city have mean €60 and standard deviation €12.Simple random samples of 100 are drawn and the mean is determined for each sample. Usenormal distribution curves where necessary. a. What is the sample size, n?b. Find the standard deviation of the sampling distribution of sample means.c. What is the probability that the mean of a sample is greater than €70?
A. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the probability that the sum of the 40 values is less than 6,900. (Round your answer to four decimal places.) B. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is one standard deviation below the mean of the sums. (Round your answer to two decimal places.) C. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is 1.4 standard deviations below the mean of the sums. (Round your answer to two decimal places.)
5. Private nonprofit four-year colleges charge, on average, $27,959 per year in tuition and fees. The standard deviation is $6,547. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( ? , ? )b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,426 per year?c. Find the 73rd percentile for this distribution $ ? (Round to the nearest dollar.)
According to AC Lens, green eye color is one of the rarest with only 2% of the world's population having that eye color. A random sample of 1000 people from around the world are selected. Let p be the proportion of the sample which has green eyes. 1. What is the mean of the sampling proportion? 2. What is the standard deviation of the sampling proportion? (Round to the nearest thousandth.) 3. Find the probability that p will be between 0.01 and 0.03. P(0.01 < p < 0.03) = 4. What is the rule of thumb for normalizing the sampling distribution of proportions?
1. The average salary of senior high school teachers is P 21,200. Assume a normal distribution with standard deviation of P 2,500. What is the probability that the mean for a sample of 36 teachers salaries is less than P20,000?
X 11. The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be between 68 and 69 inches? IX

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS