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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.
The Type 1 error states the probability of being wrong whenever:
Suppose that population variances from both kinds of digital cameras are equal, is there evidence of difference in mean battery life between two kinds of digital cameras.
For a sample of 11 independent observations from a normal distribution of unknown μ and unknown variance σ 2 , the sample mean is 74.6 and sample variance is 2.2. What is the lower point of the 90% confidence interval for μ?
A company is interested in estimating the mean number of days of sick leave taken by its employees. The firm's statistician randomly selects 100 personnel files and notes the number of sick days taken by each employee.
A random sample of five observations from the first sample resulted in a standard deviation of (12). A random sample of seven observations from the second sample gave a standard deviation of (7) at the (.01) significance level.
Determine the mean, median and mode of those data. Make sure you show your hand computeed work. Is there any indication from this group of data that the new policy holder may lean toward younger ages?
The mean number of flaws per 100 m of material produced on a certain machine at Blanktown Fabrics is 2. If flaws occur randomly, find the probability that in 50 m of material there will be less than 2 flaws.
Of the 1,4000 homemakers sampled, 420 were able to identify the brand by name. Compute the standard error of the proportion.
In a water treatment plant, the turbidity level, and is suspected is linearly related to inches of accumulated rainfall in the month, x. The following information related to the waste water plant is available:
Determine the expected market return on $ 20,000 if the expected return on asset is 20%, its beta is 1.5, and the risk free rate is 5 percent?
According to the U.S. Census Bureau, the mean household income in the United States in 2000 was $57,045 and the median household income was $42,148.
You are the designer for your company's web site. You have data to indicate that the mean download time for the homepage is 5.8 seconds and that the standard deviation of download time is 2.1 seconds.
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