The state of Delaware has studied a large population of pregnant women applying for maternity leave. The women stated which trimester of their pregnancy (1,2, or 3) they are in. The mean response was p = 2.71, with a standard deviation of o = 0.43. Suppose that we will take a random sample of n=7 of thesewomen's responses. Let x represent the sample mean of the 7 women's responses. Consider the sampling distribution of the sample mean x.Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.(a) Find u- (the mean of the sampling distribution of the sample mean).?|= ri(b) Find(the standard deviation of the sampling distribution of the sample mean).

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Answered: The state of Delaware has studied 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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When sampling from a population with mean μ and standard deviation σ, the sampling distribution of the mean will also have a mean μ and standard deviation σ.
A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of nine patients. The effectiveness periods of the tranquilizer for each patient (in hours) were as follows: 2.7, 2.8, 3.0, 2.3, 2.3, 2.2, 2.8, 2.1and 2.4. If the error bound is 0.2444, then the level of confidence interval of the mean is: None of the other options 0.99 0.98 0.95
For a sample of n = 20 scores, X = 25 corresponds to z = -1.20 and X = 40 corresponds to z = +1.80. What are the values for the sample mean and standard deviation?
Using z scores, a population with u = 37 and o = 6 is standardized so that the new mean is u = 55 and o = 2. After the standardization, one individual has a score of X = 55. What was this individual’s score in the original distribution?
The mean weekly earnings of all female workers in a state is $710 and the mean weekly earnings of all male workers in the same state is $760. The standard deviations of the weekly earnings are $86 for the females and $106 for the males. Suppose we take one sample of 316 female workers and another sample of 329 male workers from this state. 1.1. By hand, what is the mean of the sampling distribution of the difference between the mean weekly earnings for females and males? 1.2. By hand, what is the standard deviation of the sampling distribution of the difference between the mean weekly earnings for females and males, rounded to two decimal places?
For the normal probability plot shown below, the correlation between the random variable X and expected z-scores is 0.889. Determine whether the sample data (n = 15) could have come from a population that is normally distributed Click the icon to view the normal probability plot. Click here to view the table of critical values of the correlation coefficient. OA. The normal probability plot indicates that the sample data could have come from a population that is normally distributed B. The normal probability plot does not indicate that the sample data could have come from a population that is normally distributed
A study involving stress is conducted among the students on a college campus. The stress scores follow a uniform distribution with the lowest stress score equal to one and the highest equal to five. Using a sample of 55 students, find: Find the 80th percentile for the mean of 55 scores. Round to four decimal places.
The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. What is the mean and standard deviation of the sampling distribution of sample means? A The mean is 22.5, and the standard deviation is 4.5. B. The mean is 22.5, and the standard deviation is 27. C. The mean is 135, and the standard deviation is 4.5. D. The mean is 135, and the standard deviation is 27.
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
For the population of one town, the number of siblings, x, is a random variable whose relative frequency histogram has a reverse J-shape. The mean number of siblings is 1.3 and the standard deviation is 1.5. Let x denote the mean number of siblings for a random sample of size 32. Determine whether the distribution of x is normal or approximately normal and find its mean and standard deviation.
Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.
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