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Exercise given in textbook:
A farmer has 40m of fencing with which to enclose a rectangular pen.Given that the pen is x m wide - show that it's area is (20x - x^2)m^2 and deduce that the maximum area that he can enclose (Answer given 100m^2).
I have completed lots and lots of exercises involving completing the square- also with minimum and maximum values but am obviously missing something here.
Diastolic blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
For each of the following statements, formulate appropriate null and alternative hypothese, indicate whether the appropriate test will be one-tail or two-tail, then sketch a diagram that shows the approximate location of the rejection region(s) fo..
State the research question and statistical null and alternative hypotheses; and Explain why this test is appropriate and why the correlation, t-test, regression, or ANOVA is not appropriate.
The sales of Lexus automobiles in the Detroit area follow a Poisson distribution with a mean of 3 per day. What is the probability that for five consecutive days at least one Lexus is sold?
You took the standard deviation of 4.5 minutes from a commuting friend and believe that that is the standard deviation for the area. Prepare a 95% confidence interval for the true average commuting time.
One professor teaches a large section, section A, of a particular class, and on the first test of the term, the test scores in section A were approximately normally distributed with a mean of 78 and a standard deviation of 6.
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective
A math course has 2 sections. Section one has 55 students of which 10 received an A. Section two has 45 students of which 11 received an A. If a student was chosen randomly from 100 students
The diameter of stabilizing O-Rings washers manaufactured at a large factory is expected to be normally distributed with a mean of 1.30 inches and a standard deviation of 0.04 inches.
A single-sample acceptance attributes sampling plan is required to have a producer's risk of 0.06 for an acceptable quality level of 0.5% nonconforming, and a consumer's risk of 0.10 for a rejectable quality level of 5% nonconforming. Use Minitab ..
In a sample of 4 items, what is the probability that exactly 3 are acceptable? Assume the samples are drawn without replacement. (Round your answer to 4 decimal places.)
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