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Farmers often sell fruits and vegetables at roadside stands during the summer. One such roadside stand has a daily demand for baskets of tomatoes that is approximately normally distributed with a mean of 60 baskets of tomatoes and a standard deviation of 12 baskets of tomatoes.
a) If there are 75 baskets of tomatoes available to be sold at the roadside stand at the beginning of a day, what is the probability that they will all be sold by the end of the day?
b) Approximately how many baskets of tomatoes should the farmer have available to ensure that on average they meet 95% of the demand?
Determine whether or not the average age of the evening students is significantly different from 21. Use a 0.1 level of significance.
Now assume that θ2 > 0 (with probability 1), and let δ1 hat be the Bayes estimator of 1/θ2 under the setup above. Show that δ1δ2 hat is the bayes estimator of θ1/θ2 , given x = (X1, X2).
Assume that 12 percent of adults in this country have filed for bankruptcy at some point in their life.
200 people were surveyed and asked to rate mayor Michael Bloombergs effectiveness towards education. The rate scale is 1 (lowest) to 10 (highest). Mayor Bloomberg's average rating was 7.50, with a standard deviation of 2
The McNemar test is a test on a 2x2 classification table when you want to test the difference between paired proportions. Chi-square test for 2X2 tables compares the tallies or counts of categorical responses between two (or more) independent grou..
In a sample of 20 men, the mean height was 178 cm. In a sample of 30 women, the mean height was 164 cm. What was the mean height for both groups put together?
Assume that sigma = 60, choose an alpha level, and perform a hypothesis test to determine whether this is good evidence to conclude that the mean score for all young men is less than 275.
Suppose we have a population of scores with a mean (μ) of 200 and a standard deviation (σ) of 10. Assume that the distribution is normal. What score would cut off the top 5 percent of scores?
The correlation between his test and the BDI was r =.14. Evaluate this correlation. What does this correlation tell us about the relationship between these two instruments?
If member of sales force submits the entertainment expense (dinner cost for four) of $190, must this expense be considered unusually high. Calculate and interpret z- score for each of six entertainment expenses.
At the 5 percent level of significance, can we conclude that the mean weight is greater than 16 ounces? Determine the p- value.
Determine the confidence interval for population mean and the Superintendent wants to determine the average amount of hours per week the student population studies at home.
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