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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.
At.05 significance level, can we conclude that larger proportion of the agents think the economy is expanding this month?
For this same sample of n = 45, find out the width of confidence interval around population mean? Illustrate all work.
Probability using Z-score.Find the probabilities that a random variable Z having a standard normal distribution will take on a value.
Find out which (t-, z- or neither) distribution is suitable Then if you can utilize either a t- or z- distribution, provide associated critical value (critical t- or z- score) from that distribution to reach given confidence level.
This model is fit to the data using the method of least squares using statistical software, and the following parameter estimates and their standard errors are obtained.
Assuming the nurses surveyed were a random sample from the population of all nurses in the United States, we can use these data to test the null hypothesis H0 that there is no association between the row and column variables in this two-way table...
Write introduction to SPC (STATISTICAL PROCESS CONTROL)? Describe the use of SPC tools used at D2D?
What is the proportion of people surveyed that rated the subway system from 3 to 4. What is the proportion of people surveyed rated the Subway System from 1 to 3.
The mean return for the random sample of 33 mutual funds is 14.93 percent with a standard deviation of 9.57. Test the null hypothesis: H0: mu = 15% at α = 0.05.
If he selects the three brands at random, what is the probability that he will select the following?
Determine the probability that person selected has blood type O? Given that person selected is a male, determine the probability that their blood type is AB?
The significance level of a statistical test is equal to the probability that the null hypothesis is true.
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