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Suppose that p(x) = 3 - 4x + x² is the quadratic Taylor polynomial approximation based at Xο (ο is a subscript for x) = 1 to a function g. Indicate whether each of the following statements must be true, cannot be true, or might be true. Justify the answers
a) g(1) = 0
b) g'(1) = -4
c) g"(1) = 2
d) g"'(1) = -3
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia.
Can we conclude that there is a positive association between the size of the home and the selling price? Use the .05 significance level.
Average electric use was studied.a previously known population standard deviation was 450KWH. a sample of 81 houses was studied and found to have a mean of 1858 KWH. Find the 95% confidence interval for the true mean.
A basketball player makes 80% of his free throws. If he attempts eight free throws during the next game, what is the probability that he will make more than his average?
Explain the difference between a discrete and a continuous random variable. Give two examples of each type of random variable.
A furniture store claims that a specially ordered product will take, on average, mean= 35 days (5 weeks) to arrive. The standard deviation of these waiting times is 5 days.
Make up a scatter diagram with 10 dots for each of the following:
A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture small aluminum plates.
Teenage pregnancies. The U.S. National Center for Health Statistics reports for 2006 the distribution of teenage pregnancies by age range and ethnicity of the mother.
Compute the correlation among the variables. Describe perfect correlation also negative correlation. Utilize the following data to answer questions related.
On a particular day during the most recent golf tournament, the organizer placed the whole (pin) in 0 back left corner of the green. 64 golfers played the hole with the new placement on that day. Find out the probability of the sample average numb..
If you are using the method of least squares for fitting trends in an annual time series containing 25 consecutive yearly values.
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