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The empirical rule states that approximately 95% of data from a normal distribution with a mean of 0 and a standard deviation of 1 will have an absolute value less than 2.
Use the mean and r norm functions to find the proportion of 1000 random normal variables whose absolute values are less than 2.
Repeat several times and see how widely the results vary. Try sample size 10000 to see if the variation does become smaller.
Scheme allows us to create new bindings for variables by means of define, but provides no way to get rid of bindings. Implement for the evaluator a special form makeunbound! that removes the binding of a given symbol from the environment in which ..
At the .10 significance level, can we conclude that there is a difference in the amounts quoted?
Assume the probability that a person has the desease is 0.03 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Suppose you are sampling from a population with mean µ = 1,065 and standard deviation σ = 500. The sample size is n 100. What are the expected value and the variance of the sample mean X‾?
The proportion of people aged 18-25 who currently use illicit drugs is equal to 0.20 (or 20%). Now, express the null hypothesis H0 and alternative hypothesis H1 in symbolic form.
determine whether the distribution is a discrete probability distributionxnbspnbsp
Estimate, with 95% confidence, the actual average settlement time (in days) for claims received by the Explorer Fund only. Interpret the result.
30 said that they planned to work in a rural community. Find a 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.
In order to measure the effectiveness of a new procedure for pruning grapes, 15 workers are assigned to prune an acre of grapes. The effectiveness is measured in worker-hours per acre for each person.
Suppose that 80% of all batteries have acceptable voltages, and let y denote the number of batteries that must be tested. What is p(2), that is, P(y=2).
If P and Q are nxn matrices with PQ-QP = P, prove that (P^2)Q - Q(P^2) = 2(P^2) and (P^3)Q - Q(P^3) = 3(P^3)
a. Will the total revenue on a day be normally distributed? b. What are the mean and standard deviation of the total revenue on a particular day? c. What is the probability that the revenue will exceed $7,000 on a particular day?
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