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Suppose that there exists the population below and that you happen to know the population standard deviation (you can calculate it in this case). If you draw a sample of four observations what is the standard error? Answer to four decimal places.
Population values: 5, 16, 7, 33, 19, 21, 30, 6, 8, 14, 25.
What is the treatment mean square? What is the mean square error? How many groups are included in the study?
A pair of dice is rolled. The sum of the faces on top is observed. What are the expectation, variance, and standard deviation of the observed sum? The Expectation and Variance Template attached to the main posting is optional and recommended.
The specification limits are set between 15.8 and 16.2 ounces. a) Compute and interpret the machine's Cp b) Compute and interpret the machine Cpk
a. Assuming the advertising claim is true, what is the probability of the observed event?- Assuming the claim is true, what is the probability of observing two or fewer successes?
Chi-square tests are great to show if distributions differ or if two variables interact in producing outcomes. What are some examples of variables that you might want to check using the chi-square tests? What would these results tell you?
provide an example of a situation where you could utilize correlation analysis calculating the coefficient of
The waiting time to place an order at a branch of a fast-food chain during the lunch hour has had population mean of 3.55 minutes, with a population standard deviation of 1.1 minute.
Is there any evidence to suggest that the standard deviation in beam diameter at 10 feet is greater than 0.3? Assume normality and use a = 0.05.
A machine that fills quart orange juice bottles is set to fill them with 32.1 oz. If the actual contents of the cartons vary normally, with a standard deviation of .1 oz, what percent of the cartons contain less than a quart (32 oz).
Suppose the confidence interval obtained in part a is too wide. How can the width of this interval be reduced? Describe all possible alternatives.
A random variable X that has pmf given by p(x) = 1/ (n+1) over the range Rx = {0,1,2,...,n} is said to have a discrete uniform distribution. Find the mean and variance of this distribution.
A nursery has observed that the mean number of days it must darken the environment of a species poinsettia plant daily in order to have it ready for market.
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