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We want to calculate a critical value for a Goodness of Fit test based on the Kolmogorov-Smirnov test for an exponential distribution.
- Generate 1000 samples where each consists of 50 independent exponential random variables with mean 1. Estimate the mean of each sample. Draw a histogram of the means.
- Perform a KS test on each sample against the null hypothesis that they are from an exponential random variable with a mean that matches the mean of the data set. Draw a histogram of the 1000 values of D.
- From the simulated values of D, find an critical value c such that only 5% of the time will the test statistic D exceed that critical value.
- Write up R code that will perform multiple batches of 1000 samples each consisting of 50 indepen- dent draws. Decide how many batches your computer can run in two hours, and run the program. Use the results to generate a more accurate estimate of c.
-Calculate the critical value . Compare this to the results from your simulations. Do you think this value is significantly different from your simulation results?
1. What factors influence cylinder friction? 2. Name the important [actors to consider when selecting a heat exchanger.
A town has people with 3 nationalities A, B and C. It was found that 65% of the people in the town are of A, 20% of B and 15% of C. The records shows
Eating disorder study. Data from a psychology experiment were reported and analyzed in American Statistician (May 2001). Two samples of female students.
Hint: A Example similar to this question is given in Chapter 6 Calculate the share price and compare to $40.
Find the probability that the number of likely voters who think that it is too easy to vote is (a) exactly three, (b) at least four, (c) less than eight.
Research shows that the life time of Everlast automobile tires is normally distributed with a mean value of 70,000 miles and a standard deviation of 7,000 miles. What is the probability of having a tire that lasts more than 80,000 miles?
An experiment is described. Describe a typical outcome, and count the number of outcomes. Determine the number of outcomes in each of the events defined.
To use the t statistic to test for differences between the means of two populations based on independent samples, what assumptions must be made about.
jasmine international has 100 prospective original bracelets. about 20 of all bracelets come to order for retailing.
Outside a home, there is a 4 keypad with letters, A, B, C, D that can be used to open the garage if the correct four-letter code is entered. Each key may be used only once. How many codes are possible?
It has been claimed that Wells Fargo opening bogus accounts in 2016 was as bad as Lehman was hiding its toxic assets in 2008.
a. What is the probability that fewer than 1,430 of the mailings will be returned?
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