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What are the chances of getting 15 days of rain during the next 30 days? What do you think about Joe's assumptions concerning the weather for the next 30 days?
There is sufficient evidence to support the claim that the mean speed of all cars on that section of I-10 is greater than the posted speed limit of 70 mph.
Find the probability that at least one subject experiences headaches. Is it unusual to have at least one of six subjects experience headaches?
Suppose X is a random variable with mean u and variance sigma2, Calculate the mean vector and variance matrix of the random vector Y = (X,2+3X)?
By using the fact that Martha believes the treatment will decrease the amount of time to fall asleep, describe the null and alternate hypotheses.
In a large western university, 15% of the students are graduate students. If a random sample of 20 students is selected, what is the probability that the sample contains:
A design for 2 treatments has p pairs of blocks. Each block has three plots. In each pair one block has two plots with A and one with B, and the other has two plots with B and a single plot with A.
Compute β-error of test in part (a) if true difference in mean burning rate is 2.5 centimeters per second.
The breaking strengths of cables produced by a certain manufacturer have a mean, of 1925 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength.
Use RNG in Excel to generate n = 5 observations from the Normal distribution N(20, 5). Test H0: μ = 20 versus H0: μ ≠ 20 at the α = 0.05 level of significance. Repeat this process 100 times and then count the number of times that you reject H0.
Under new grading scale, how many students will have A's, B's, C's, D's and F's? Do you beleive the instructor must grade on a curve? Explain why or why not?
Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a stand. dev. of 0.11 oz. Find the P that a sample of 36 cans will have a mean amount of at least 12.19 oz.
Use a significance level of alpha = .05 to test the claim that p > .5. The sample is a simple random sample n = 50. Show how to calculate beta for the test and assume the true population proportion is .6.
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