4. The population from which the sample in problem 3 was randomly drawn has a μ of 51 and a σₓ of 14. What is the probability of obtaining a random sample of 25 scores with a mean (a) below 46? (b) below 46 or above 56?

Given that, population mean is µ= 51 and standard deviation is σ= 14 So X~ N(51,14) sample of size…

Answered: 4. The population from which the sample…

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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11. The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean μ = 6.4 minutes and a standard deviation o=3.5 minutes. If a random sample of 49 customers is observed, find the probability that their mean time at the teller's window is (a) at most 5.6 minutes; (b) more than 7.4 minutes; (c) at least 6.4 minutes but less than 7.0 minutes. Click here to view page 1 of the standard normal distribution table.¹ Click here to view page 2 of the standard normal distribution table.² (a) The probability that the mean time is at most 5.6 minutes is (Round to four decimal places as needed.) (b) The probability that the mean time is more than 7.4 minutes is (Round to four decimal places as needed.) (c) The probability that the mean time is between 6.4 minutes and 7.0 minutes is (Round to four decimal places as needed.)
6. The weight of randomly chosen duck is normally distributed with a mean of 1.2 kg and a standard deviation of 0.4 kg. (a) Find the probability that the weight of a randomly chosen duck is more than 1.4 kg. (b) If 25 ducks are randomly chosen and the mean weight of the ducks is calculated. (i) Find the probability that the sample mean weight is more than 1.4 kg. (ii) If 14.23% of the sample mean weight is more than m kg, find the value of m.
Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm. (a) If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance x for these 25 will be between 63 and 67 mm?(Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.) P = (b) Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 67 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.) P = Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean…
18. With respect to the chi-square test, a p value of 0.034 means there is a 3.4% probability that the deviation of the observed value from the expected value is due to chance and a 96.6% probability that this is not due to chance. True False
5. Suppose X is the number of successes in a random sample of size n from a large population with a proportion of success p. What are the mean and the standard deviation of the sampling distribution of X in terms of n and p? The mean is p(l-pland the standard deviation is p(1-p) b. The mean is npand the standard deviation is ap(1-p). The mean is p(1-pland the standard deviation is pp. C. d. The mcan is 7pand the standard deviation is rp.
25. Each of a random sample of 30 student nurses who participated in a research project was given a test designed to measure the degree of creative thinking. The standard deviation of the scores was 11. Can one conclude from these data that the population variance is less than 400? Let α = 0. 05 and assume that the population is normally distributed. (A) Yes (B) No
.
1.a.A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 44 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.) b.A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 44 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
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4. The population from which the sample in problem 3 was randomly drawn has a μ of 51 and a σ of 14. What is the probability of obtaining a random sample of 25 scores with a mean (a) below 46? (b) below 46 or above 561 5 David's uncle is building arouse on land that