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Suppose we wish to test the hypothesis H0: = µ2 vs. H1: = µ≠2 We find a two sided p-value of .03 and a 95% CI for µ of (1.5, 4.0) Are these two results possibly compatible? Why or why not?
Douglas Boats is considering the possibility of expanding the warehouse for the WM-4 motors. How much should Douglas Boats expand, and how much would it be worth for the company to make the expansion? Assume demand is constant throughout the year.
It is suspected that the mean turnover has changed and is not 6.0. Use the .05 significance level. Give the formula for the test statistic.
Make a List of type of possible errors. Assume that you were interested in knowing the mean score for a certain quiz in a statistics class.
Compute β-error of test in part (a) if true difference in mean burning rate is 2.5 centimeters per second.
Fit a linear regression model for bp against sodium. Do you think this is a model with a good fit? Why?
Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities.
Temperature in certain city for the month of June follows a uniform distribution over the interval 61° F to 91° F. Find the temperature which 90% of the June days exceeds?
a) Find the marginal density of Y. b) Find E(X) HINT: What is E (X|Y=y) ?
The number of standard errors that the sample estimate (p 1 - p 2 ) of (p1 - p2) falls from its null hypothesis value of zero is called
The average number of hours of sleep per night that a college freshman gets is 6.50 with a standard deviation of 1.80 hours. If 35 college freshmen are randomly chosen find the probability that they average at least seven hours of sleep per night.
Jeweller desires to know how many of each item to make each week to maximize profit. Create the integer programming model for this problem (written in format similar to way Problems 1 and 2 were presented).
Suppose 94 percent of the items have lives exceeding 2000 h and 3.51 percent have lives exceeding 16,240 h. Find the mean and standard deviation of the service life.
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