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A professor would like to utilize the normal distribution to assign grades such that 5% of students receive A's. If the exam average is 62 with a standard deviation of 13, what grade should be the c
At the 0.05 significance level is there a positive association in the population between the two variables? Test these null and alternate hypotheses.
What inferential statistical tests are appropriate to answer your research question as to whether past participation and contribution will make a difference in people enjoying, and supporting an eve
The following data lists the average monthly snowfall for January in 15 cities around the US. Find the mean, variance, and standard deviation. Please show all of your work.
Define what the chi square distribution is. Why do you use the chi-square statistic? What type of data is used with chi square analysis? What are some limitations of the distribution? What is th
What is the role or significance of the Tukey Honestly Significant Difference test? What are the purposes of nonparametric methods? How do these compare to parametric tests?
It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the sample proportion?
A normal population has m = 50 and s = 8. A random sample of n = 4 scores from this population has a mean of 54. What is the z-score for this sample mean?
The discussion surrounding the ANOVA is very important. This is a widely utilized statistical tool. What is the ANOVA? What is the purpose of the ANOVA? What role does variation have in the disc
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a person would score 130 or more on the test?
Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. What is the probability that a tire will last 72,000 miles or more?
(a) Use the Kaplan-Meier (product-limit) method to estimate the survival function. (b) Construct a survival curve based on the product-limit estimate.
A sample of 17 people reveals the mean yearly consumption to be 66 gallons with a standard deviation of 26 gallons. What is the value of the population mean?
For the population of people who suffer occasionally from migraine headaches, suppose that p = 0.60 is the proportion who get some relief from their symptoms by taking ibuprofen.
The Supreme Court has said that z-scores beyond z* = 2 or 3 are generally convincing statistical evidence. For a two-sided test, what significance level corresponds to z* = 2? To z* = 3?
Specify the level of measurement used for each of the following items:
Suppose you investigate comparing means assuming normality. Give the formula for the proper statistic to use, and also the p-value.
In a study conducted by a local university, it was found that 25% of college freshmen support increased military spending. If 6 college freshmen are randomly selected, find the probability that:
Suppose you wanted to conduct a nonparametric test to compare these data. Using α = .05, complete the following:
Compute the following probability by using Poisson distribution: no calls in 15 minute period, 2 or less calls in 15 minute period, and, receiving 20 calls in an hour.
A locksmith is preparing an electronic key code of 4 integers selected from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} without replacement. Calculate the probability that at least one of integer in
5-year Treasury bonds yield 5.5%. The inflation premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year bonds is 0.4%. What is the real risk-free rate, r*?
Consider a dial having a pointer that is equally likely to point to each of n region numbered 1,2,...,n. When we spin the dial three times, what is the probability that the sum of the selected nu
The inside diameter of a cylinder has specifications 1 +/- .03 cm. The machining process output follows a normal distribution with mean 1 cm and standard deviation .1 cm. Determine the percentage o
Standards require mileage estimates to be within a plus or minus .5 of the actual average with a 99% confidence level. A new model gets between 13 and 29 MPG. What is the margin of error?