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Suppose a random sample of size 40 is selected from a population with = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction facto
What fraction of students scaore above 140 points? Find the cutoff score that will make a student eligible for the program.
Suppose X is a discrete random variable uniformly distributed over {1, 2, . . . , m}, where m is a fixed positive integer. Show that E(X) = (m+1)/2 and Var(X) = (m^2?1)/12
What are the null and alternative hypotheses for this study, symbolically? What is the p-value? What is your decision if a=0.05? State your conclusion.
You are a project manager who is reviewing the estimates for the cost of materials. You therefore begin tracking the estimated cost estimates of two procurement specialists and comparing their estim
Prove that Var(Y) = Var(Yhat) + Var(Y-(Yhat)) where Yhat is the simple linear regression b0+b1*X. Also, show that this implies Cov(Yhat, Y-Yhat)=0.
In testing to see if the closest frogs have a different average pitch level than the frogs further away, what test would you use? The question is choose the appropriate analysis and address the assu
A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is ?=15. Compute the 95% confidence interval for the population mean.
A sample of 16 items yields Xbar = 50 grams and s = 3.2 grams. Assuming a normal parent distribution, construct a 90 percent confidence interval for the population mean weight.
Determine the probability of finding 7 or more requests for hard disk drives with low storage capacity if the VP's assertion is correct. Do you believe that the proportion of customers requesting ha
A machine produces components for use in cellular phones. At any given time, the machine may be in one, and only one, of three states: operational, out of control, or down. From experience with this
A machine produces components for use in cellular phones. At any given time, the machine may be in one, and only one, of three states: operational, out of control, or down.
Of a random sample of 900 trucks at a bridge, 270 had bad signal lights. Construct a 99 percent confidence interval for the percentage of trucks that had bad signal lights.
What sample size is needed to obtain a 99 percent confidence interval for the mean protein content of meat if the estimate is to be within 1 pounds of the true mean value? Assume that the variance i
A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation based on previous surveys is 30 percent.
On a particular day during the most recent golf tournament, the organizer placed the hole (pin) in the back left corner of the green. 64 golfers played the hole with the new placement on that day. D
Find the mean and varience of X. Use the general formulas for mean and variance and check results using the formulas u = np and o2 = npq.
Graphical displays are used to provide the viewer information that illustrates qualitative or quantitative information about the data set under review.
A normally distributed process has specifications of LSL = 50 and USL = 60 on the output. A random sample of 25 parts indicates that sample mean = 56 and sample standard deviation = 2. Obtain the es
Assume that on the average 1 person out of 25 whold make plane reservations fails to show. An airline takes 100 independent reservations and has 96 seats. What is the probability that every passeng
The number of phone calls passing through a switchboard has a Poisson distrubution with a mean equal to 3t, where t is the time in minutes. Find the probability of the following:
A dr. has performed 4 heart transplants, and 2 of the patients survived for more than 5 years. She thinks that the probability of a patient surviving for 5 years or more is .2.
A local radio station is interested in estimating the percentage of a target market that has a favorable impression of its morning show. The marketing department wishes to estimate this proportion w