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To find the probability using central limit theorem
Central Limit Theorem.
The Central Limit Theorem (CLT) is one of the most useful in probability and statistics. One part of this theorem allows a problem solver to calculate probabilities about sample means regardless of whether a population is normally distributed. However, the formula for z has to be adapted as follows:
z = [(sample mean - population mean) times the square root of sample size] divided by the population standard deviation.Apply the CLT to the following problem.
The average age of the accountants at XYZ Corporation is 35 years with a standard deviation of 3.8 years. If a sample of 36 accountants is selected at random, what is the probability that their mean age is between 34 and 36 years?
Show your work, and express your answer to the nearest 100th of a percent.
Determine the probability distribution associated with these data.
Set up dummy coded dummy variables to contrast each of the other groups to Group 2, medium Anxiety; run a regression to predict exam performance (Y) from these dummy coded dummy variables.
Your statistics instructor wants you to determine a confidence interval estimate for the mean test score for the next exam.
Caselet on McDonald’s vs. Burger King - Waiting time
Construct a 95 percent confidence interval for the true mean.
Z score on comparison distribution for sample score and your conclusion. Suppose that all population are normally distributed.
Construct a 95 percent confidence interval for the population mean. Is it reasonable that the population mean is 28 weeks? Justify your answer.
To sketch the 3-sigma X-bar chart and R-chart parameters. A candy bar manufacturer desires to set up a variables control chart for the net weight of its candy bars.
The number of bombardment necessary to achieve the disintegration of a certain nucleus is assumed to have the distribution above. In one sequence in which b bombardments are available, of these have already failed to disintegrate the nucleus. What..
If the standard deviation is $89.46, find the probability that a randomly selected customer spends between $550.67 and $836.94.
What sample size and acceptable level would result in a probability of .05 that a good batch will be rejected and a probability of .10 that a bad batch will be accepted?
The sample proportion of large gloves for each location is and . (Round your answers to 4 decimal places.)
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