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Q2. Deciles of Normal distributions:
The deciles of any distribution are the 10th, 20th..., 90th percentiles, respectively.
a) What are the first and last deciles of the standard Normal distribution?
b) The weights of 9-ounce potato chip bags are approximately Normal with mean 9.25 ounces and standard deviation 0.15 ounce. What are the first and last deciles of this distribution?
Prove that if R is commutative ring and N=(a1,a2,..am) where each ai is a nilpotent element, then N is a nilpotent ideal, i.e N^n=0 for some positive integer n.
If θ1 and θ2 are unbiased estimators of θ, show that θ3=k1θ1+ k2θ2 is biased estimator of θ. What condition must be imposed on constants k1 and k2, so that θ3 is an unbiased estimator of θ?
Prepare a 350-word memo to Myra Reid, the Vice President of Production at Blue Inc. Inform Myra of your forecasts and explain the reasons for your decision.
As a part of your proposals. you need to submit demographic information to help demonstrate that the location chosen by the management teams will be a good investment.
A mean time of 90 minutes and standard deviation of 18 minutes. What proportion of new typists need between 1 and 2 hours to learn the computer system?
Two people are playing a game. Only one dice is thrown. If the outcome is a 2 or a 3, then player 1 pays player 2 $6. How much should player 2 pay player 1 when a 1, 4, 5 or 6 is thrown so that player 1 and 2 break even
Medical schools last year intended to specialize in family practice. What is the width of a 90% confidence interval for the proportion that plan to specialize in family practice.
A Tamiami shearing machine produced 8 percent defective pieces. The quality control engineer has been checking the output by almost continuous sampling. What is the probability that in a sample of 9 pieces:
ACME will incur the cost of replacement, but will not receive any additional revenue. What is the profit earned/loss incurred on an all weather tire that exceeds 40,000 miles?
Evaluate the value of population proportion. Develop a 99% confidence interval for population proportion.
what is the probability of tossing a coin 5 times and getting all
Conduct post hoc comparisons with the LSD method. Which groups differ significantly at α = 0.05?
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