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What would be the correct null and alternative hypothesis for the following situation: The sample has a mean of 72.3 mph and a standard deviation of 7.4 mph. Use a 0.05 significance level to test the claim that the mean speed of all cars is greater than the posted speed limit of 70 mph.
Let X and Y have a bivariate normal distribution with parameters u1 = 20, u2 = 40, sigma1^2 = 9, sigma2^2 = 4, and p = 0.6. Find the shortest interval for which 0.90 is the conditional probability that Y is in the interval, given that X = 22.
If the test is positive, what is the probability that this person actually has heart disease?
Given the following data, 1) how do you make Excel create a scatter diagram for you? 2) If you were to draw a line through the points, how straight would the line be?
Does this mean immigrants tend to earn more than other people? Or does it mean immigrants improve a state's economy? If not, what could explain the correlation?
The weights of the 100 boys in the Boy Scout Troop 829 are normally distributed with a mean of 170 pounds and a standard deviation of 5 pounds.
Which option produces the smallest risk of a Type I error?
Determine the probability of fatal accident over a lifetime? Describe your reasoning carefully. Hint: Suppose independent events. Why might the supposition of independence be violated?
At a used-book sale, 100 books are adult books and 160 are children's books. Of the adult books, 70 are nonfiction while 60 of the children's books are nonfiction. If a book is selected at random, find the probability that is is:
Complete hypothesis test using a 5% level for risk with directional research hypothesis.
Assume that a decision maker wants to estimate a population proportion with 90% confidence and a margin of error of ±0.03. The decision maker has obtained a pilot sample of 10.
Do the data provide significant support for any preferences among the three brands? Test At the .05 level of significance.
The lengths of pins produced by a machine follow a normal distribution with mean 2.54 cm and standard derivation 0.04 cm.
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