The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.5. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answers to four decimal places and intermediate z value calculations to two decimal places.**Part 1 of 3**Find the probability that the mean of a sample of 25 people is less than 10.\[ P(\overline{X} < 10) = \][Input box] [Clear button] [Reset button]---**Part 2 of 3**Find the probability that the mean of a sample of 25 people is greater than 10.\[ P(\overline{X} > 10) = \][Input box] [Clear button] [Reset button]---This task involves applying the normal distribution and the central limit theorem to find probabilities concerning the sample mean.

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Answered: Find the probability that the mean of a…

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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Part 1 A population of values has a normal distribution with mean of 50.6 and standard deviation of 98.9. a) Get the z-score for a value of 44. For this problem you use the z score formula b) This z-score tells you how many the score of 44 is above or below the population mean u. c) Find the probability that a randomly selected value is less than 44.
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A sample of size 86 will be drawn from a population with mean 90 and standard deviation 24. Use the TI-83 Plus/TI-84 Plus calculator. Part: 0 / 2 Part 1 of 2 (a) Find the probability that x will be between 89 and 91. Round the answer to at least four decimal places. The probability that x will be between 89 and 91 is X
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5
ne Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 42 couples. Complete parts (a) through (c) below. nents 1 of nts a. Find the mean and the standard deviation for the numbers of girls in groups of 42 births. 1 of The value of the mean is u = (Type an integer or a decimal. Do not round.) ok 1 of The value of the standard deviation is o = (Round to one decimal place as needed.) nch 1 of 1 b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. 1 of 2 (Round to one decimal place as needed.) er Contents Values of girls or greater are significantly high. 1 of 2 for Success (Round to one decimal place as needed.)…
I. TRUE OR FALSE. Choose A if the statement is always true, otherwise choose B. 1. The sum of the probabilities of all values of the random variable must be equal to 1. 2. The capacity of water dams in a region is an example of continuous random variable. 3. The formula u = is used to compute for the mean of a probability distribution. IxF(x) 4. A standard normal curve is a normal probability distribution that has a mean of one and standard deviation of one 5. The width of the curve in normal distribution is determined by the mean of the distribution. 6. The mean of the sampling distribution of the sample means is less than the population mean. 7. The standard error of the mean is the standard deviation of the sampling distribution of the sample means. 8. The sampling variability of the sample means becomes smaller as the sample size n gets larger. 9. In estimating the mean, the degrees of freedom is equal to (n - 1) when using the t- distribution. 10. The t-distribution is asymmetric…
X 6.3.10 Question Help Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of sizen=2 are randomly selected with replacement from the population of 2, 4, and 9. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n= 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 Construct the probability distribution table. Sample Probability Proportion (Type an integer or fraction.)

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Find the probability that the mean of a sample of 25 people is less than 10. P(X<10) =D Part 2 of 3 Find the probability that the mean of a sample of 25 people is greater than 10. P(X> 10) =O