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Q1) You are attempting to prove that variance of dollar value of products purchased on line for certain target market is greater than $100. To test this you choose a random sample of 20 customers and determine that variance of this sample is $150.
a) Set up hypotheses and test to find out whether or not population variance is larger than $100.
b) Based on your sample variance, create a 95% confidence interval, which will contain the true variance 95% of the time. This is, of course, by definition of confidence interval.
Q2) 3 methods of treating water were undertaken at 2 different water treatment plants. Each method was tried for one month and a score (from 1 to 100) was assigned by plant managers on effectiveness of the method (100 is maximum effectiveness).
Treatment Method
Plant Types
(1)
(2)
(3)
Plant 1
46
74
61
Plant 2
52
78
67
a) Use randomized block analysis of variance to test if there is difference in means of 3 methods and between two plants.
b) If methods vary then employ the Tukey procedure to find out which treatments are more effective relative to each other.
How many voters required to be sampled to evaluate the proportion within 0.05 with 95% confidence?
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If all samples of size 64 are drawn, mean of sample according to Central Limit Theorem is 100.
What is the probability the average of the sample is more than $38000 and What is the standard deviation of the sample mean
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For each of the following problems, assume that the homogeneity of variance assumption has not been met and that you will need to use the adjusted Welch statistic.
Compute the skewness for your data set using Pearson's
Each scenario involves randomly selecting n i observations from four, independent, Normal populations as described.
Rank the funds by using this alternative measure of risk. Which, if any outperformed the market on the risk-adjusted basis.
What is the best estimate of the average tread life for the entire population of these tires?
Create a set of n observations from the binomial distribution with 1 trial and the event probability of 0.007, where n is your answer.
The average number of days absent per student per year at West Valley School is 17 days with a standard deviation of 4 days. How many standard deviations from the mean is 6 absent days?
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