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We monitor the number of incoming calls into a doctor's office. Let X be the number of incoming calls between the hours of l pm and 2 pm and Y be the number of calls between l pm and 3 pm. If we model the number of calls in a period of t hours as a Poisson(lamda(t)) random variable and assume that the number of calls in non-overlapping time periods are independent, show that:
P (X = k | Y = n) = (n k) (1/2) ^n, k = 0,1, ...., n
Calculate correlation coefficient for these sample data.
Determine: SS(xy)Linear correlation coefficient, r. Bar graph below compares mean time in seconds for 7-yr old girls to complete certain task.
Create a drawing or plan for a 2 x 3 experimental design that would lend itself to a factorial ANOVA. Be sure to identify the independent and dependent variables.
A fair coin is flipped 3 times. Compute the odds of flipping 3 tails.
a. Solve using the p value approch. b. Solve using the classical approch.
The ages of circulating pennies are right skewed. Most circulating pennies were minted relatively recently, and extremely old pennies are rare. Assume the ages of circulating pennies have a mean of 12.2 years and a standard deviation of 9.9 years.
For the last 18 review periods the average sales figure has dropped to $11,500 with a standard deviation of $4,000. Management is concerned. Perform a hypothesis test to determine if this change in sales is a potential problem.
According to the study, the mean age of a self-employed individual is 46.6 years with a standard deviation of 10.8 years.
Create a scenario where the binomial probability formula could be used to determine the probability of some number of successes, x, in some given number of trials,n.
Consider the experiment of throwing an ideal die three times(all outcomes are equally likely). Let X and M denote the mean and the median respectively, of the three scores obtained.
Describe meaning of alternatives, criteria and states of nature. Explain how are they utilized in decision analysis?
Suppose among 312 large city residents sampled, 65 refused to cooperate. What is the margin of error at the 95% confidence level.
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