MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a random sample of 65 unemployed individuals for a follow-up study. Use z-table. a. Show the sampling distribution of 2, the sample mean average for a sample of 65 unemployed individuals. E(2) d 18.5 (to 1 decimal) (to 4 decimals)arrow_forwardThe population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 64, find the probability of a sample mean being less than 19.5 if μ = 20 and o = 1.33. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. 4 For a sample of n = 64, the probability of a sample mean being less than 19.5 if μ = 20 and σ = 1.33 is (Round to four decimal places as needed.)arrow_forwardIn a sample of size 36, the sample mean was found to be 54.6. If the probability of getting a sample mean greater than 66.24 is 0.834, what is the standard deviation for sample means? O A. 72 O B. 3.464 O C. 8.485 O D. There is not enough information to find the sample standard deviation O E. 12arrow_forward
- 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. 0.2297arrow_forwardSuppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 42. Assume seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ¤ - N( 111 42 b. For the group of 7, find the probability that the average number of friends is less than 96. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+1 • The Central Limit Theorem For Sums 2 [+] Hint Submit Questionarrow_forwardThe number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,221. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. b. Find the probability that a randomly selected acre in the forest has fewer than 32,793 ants. c. Find the probability that a randomly selected acre has between 46,676 and 51,692 ants. d. Find the first quartile. ? ants (round your answer to a whole number) PLEASE ANSWER THE 3 SUBS B, C AND Darrow_forward
- The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample ofn=70, find the probability of a sample mean being less than 24.2 if p = 24 and o= 1.23. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. For a sample of n = 70, the probability of a sample mean being less than 24.2 if u = 24 and o = 1.23 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean be considered unusual because it has a probability that is than 5%.arrow_forwardThe body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F. If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.5° F. Hint: You will need to use the sampling distribution of the sample mean. 0.9360 0.0228 0.8413 0.8188arrow_forwardProvide an original example of some practical case where we can use the normal distribution (e.g., IQ scores follow a normal distribution of probabilities with a mean IQ of 100 and a standard deviation of 15 IQ points.). Assign your numbers for mean 70 and standard deviation 30. Make sure 70 is about four times bigger than 30. Then select any number 90 below or above mean 70, but not too far from 70. Find following two probabilities: 1) P(x < a)2) P(x > a)Use the formula z = (a - μ)/σ to calculate your z-value. Please refer to the Appendix Table for the Standard Normal Distribution Hint: To find P(x>a) use formula: P(x>a) = 1 - P(x<a). Describe how to would find P( 65 < x < 25). Provide an original example to illustrate how to find such probabilities.arrow_forward
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