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Bruce Kuhlman, owner of Kuhlman Farms, wishes to use brand of fertilizer which will produce maximum yield per acre of wheat. Mr. Kuhlman can select from four different commercial brands: Wolfe, White, Korosa and Vigro. To begin, Mr. Kuhlman divides his field into 24 plots of equal size. Wheat is then planted at same time in same manner. Only difference in plots is he randomly assigns Wolfe brand of fertilizer to six plots, White brand to six plots, Korosa brand to six plots and Vigro brand to six plots. At end of growing season, he records number of bushels of wheat produced on each plot. Results, in bushels at the end of growing season are (Solve manually & by excel)
WOLFE : 13; 15; 14; 11; 12; 15WHITE: 21; 16; 19; 20; 18; 19KOROSA: 12; 14, 12, 11, 12, 15VIGRO: 18; 20; 21; 18; 22; 19
1. Write down the hypotheses?2. What is the computed F value?3. Determine your decision rule? 4. Compute statistical decision?5. What is your management decision regarding fertilizers?6. Which brands vary?
A random sample of 200 people was taken. Sixty percent of the people favor President Obama. The 95% confidence interval for the true population of people who favor Obama is?
Medical studies have shown that 10 out of 100 adults have heart disease. When a person with heart disease is given an EKG test, a 0.9 probability exists that the test will indicate the presence of heart disease.
When formulating the conclusion to the test, why is the phrase fail to reject the null hypothesis more accurate than the phrase accept the null hypothesis?
To test whether there is any association between two variables using Chi-Square test for independence.
Consider binomial distribution with 14 identical trials, and probability of success of 0.4.
At.01 level of significance, is proportion of seeds which germinate dependent on seed type?
Computing the probability values using normal distribution - what proportion have SAT scores greater than 550?
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order auto-regressive model.
Suppose that bank has made a large number of loans of a certain type. The one year probability of default each loan 1.2%. The bank uses a Gaussian copula for time to default.
You need to estimate the mean number of travel days per year for outside salespeople. The mean of a small pilot study was 150 days, with a standard deviation of 42 days.
Create a histogram over five class intervals.
How could the engineer increase the accuracy of the interval without changing the level of confidence?
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