Chocolate bars produced by a certain machine are labeled 8.0 ounces. The distributionof the actual weights of these chocolate bars is claimed to be Normal with a mean of 8.1ounces and a standard deviation of 0.1 ounces. A quality control manager initially plansto take a simple random sample of size n from the production line. If he were to doublehis sample size (to 2n), by what factor would the standard deviation of the samplingdistribution of X change?А) 1/2B) 1//2C) V2D) 2

Chocolate bars produced by a certain machine are labeled 8.0 ounces. The distribution of the actual…

Answered: to take a simple random sample of size…

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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Suppose we are interested in studying a population to estimate its mean. The population is normal and has a standard deviation of o = 15. We have taken a random sample of size n=19 from the population. This is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) As shown in the table, the sample mean of Sample 1 is x= 492. Also shown are the lower and upper limits of the 75% confidence interval for the population mean using this sample, as well as the lower and upper limits of the 90% confidence interval. Suppose that the true mean of the population is µ= 50, which is shown on the displays for the confidence intervals. Press the "Generate Samples" button to simulate taking 19 more random samples of size n=19 from this same population. (The 75% and 90% confidence intervals for all of the samples are shown in the table and graphed.) Then complete parts (a) through (c) below the table. 75% 75% 90% 90% lower upper lower upper limit ar limit…
Write the formula for the sample mean, X, for ŉ data points. Write the formula for the sample variance, S², for n data points.
Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 50 and standard deviation 5. Diane obtains 1000 random samples of size n= 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n= 40 from the population. Complete parts (a) through (c) below. (D) vvnat ao you expect ine mean or Diane s aistribution to be? vvnat ao you expect tne mean or Jack s aistribution to De? Diane's distribution is expected to have mean of 50 . Jack's distribution is expected to have a mean of 50. (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of Jack's distribution is expected to have a standard deviation of (Round to two decimal places…
You have a population mean µ=27, and a sample mean of 29. The sample variance equals 6. Compute Cohen’s d
A variable of two populations has a mean of 30 and a standard deviation of 18 for one of the populations and a mean of 30 and a standard deviation of 32 for the other population. Complete parts (a) through (c). a. For independent samples of size 9 and 16, respectively, find the mean and standard deviation of X₁ -X₂. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of X₁ -X₂ is. (Type an integer or a decimal. Do not round.) The standard deviation of X₁-X₂ is (Round to four decimal places as needed.) b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. OA. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x₁-x₂ to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. B. No, the formulas for the mean and standard deviation of…
The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are nomally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys would be higher than the mean height of the sample of girls 18: O 0 9878 O 0.0062 O 0.9938 0 9972 Let E[X(Y-1)] 10, E[X(Y#1)] 20, V(X) Then E(Y) 8. V(Y) 12 and V(X+Y) 30. O 14/5 12/5 2
.
For the variance of a sample mean RV, taken from an infinite population whose mean is 10 and standard deviation is 2, to be equal to 1, the sample size should be Select one: 16 10 32 None 4
3. Let X be the mean of a random sample of n = 25 from the distribution with a mean of 30 and a variance of 9. Find an approximated probability that the sample mean is between 29.8 and 30.6.
Roy and Jennie are looking for a company to help plan their wedding. Company A charges an amount based on the cost function, C=Vn+F, where C is the total cost, V is the variable cost, F is the fixed cost, and n is the number of people who attend the wedding. Suppose n is a random variable with a mean of 47 and a standard deviation of 8. Also V=40 and F=2500. (Round your answers to the nearest dollar.) (a) What is the mean for the total cost? (b) What is the standard deviation for the total cost?
The temperature distribution of city D has a population mean µ= 21.3, and standard deviation o = 4.8. You randomly select 12 days and get the temperature for these days. Then you compute the sample mean. What is the maximum sample mean value in the bottom 0.22 x 100% of the sample mean distribution? Note that we're talking about the distribution of the sampling mean. Give your answer to 2 decimal places.

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to take a simple random sample of size n from the production line. If he were to double his sample size (to 2n), by what factor would the standard deviation of the sampling distribution of X change?