22. A random sample of n=25 scores is selected from a normally distributed population with amean of 500 and a standard deviation of 100. What is the probability that the sample meanwill be less than 490?a.0.01b. 0.15C.0.30d. 0.46 20. If all the possible random samples of size n=30 are selected from a population with a meanof 50 and standard deviation of 10 and the mean is computed for each sample, then whatshape is expected for the distribution of sample means?a.The sample means tend to form a normal-shaped distribution whether the population isor not.b. The sample means tend to form a normal distribution only if the population distribution isnormal.The sample meanns tend to be distributed evely across the scale, forming a rectangular-shaped distribution.c.d.There are thousands of possible samples and it is impossible to predict the shape of thedistribution.

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Answered: 22. A random sample of n=25 scores 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

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': Consider a puzzle is created where the amount of time it takes an individual to solve the puzzle follows a normal distribution with a standard deviation of 2 minutes. a) If a sample of 13 individuals was collected, what is the probability the sample mean time required to solve the puzzle would be within 1.2 minutes of the population mean? b) What would the required sample size be if we wanted the sample mean to be within half a minute of the population mean with a probability of .9?
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
The 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 D
15
15. A sample has a mean M = 75. In the sample, a score of X = 95 corresponds to z = 2.5 What is the standard deviation for the sample?
24)
45. Suppöse the average height of NBA players is normally distributed with mean 200cm and standard deviation 8.89cm. What is the probabilíty that a randomly selected players will have a height between 190cm and 210cm? M= 200 a. 0.7288 b. 0.7372 8=8.89 C. 0.1314 d. 0.7698 e. 0.8686
Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg. Suppose that the distribution of weights is not normal and n = 40. Find the probability that a random sample of 15 males will have a mean weight that exceeds 75kg. .9998 0.0002 0.2 0.0001 Other:
The grade point average for ALL juniors at a large college has a standard deviation of 0.50. A random sample of 20 students is to be used to estimate the population mean grade point average. What condition do you need to verify prior to computing the probability of obtaining a sample mean within plus or minus 0.2 of the population mean?
1 A sample size of 30 is taken from a population which is normally distributed with a mean of 60 and standard deviation of 4.Find the probability of the sample mean less than 59 Type your answer... 2
Assume that the mean length of a toothpick is mu = 6 cm , with a stand deviation of sigma = 0.14 cm . 1. If we were to select one toothpick at random, what is the probability that it is longer than 6.004 cm? 2. if we weee to select a Random sample of 45 tooth picks, what is the probability that the sample mean is longer than 6.004 cm?

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