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1. Let f (x ) := |x |p for all real x . For what values of p is it true that (a) f is convex; (b) the derivative f I(x ) exists for all x ; (c) the second derivative f II exists for all x?
2. Let f be a convex function defined on a convex set A ⊂ Rk . For some fixed x and y in Rk let g(t ) := f (x + ty) + f (x - ty) whenever this is defined. Show that g is a nondecreasing function defined on an interval (possibly empty) in R.
Is your sample of MSU students significantly different from the population of MSU students in terms of the number of classes they take per semester (use alpha level .05)? To answer this question, follow all of your steps for hypothesis testing.
On opening day one season, 10 major league baseball games were played and they lasted the following numbers of minutes. Find the sample variance.
A researcher is estmating influence of treatment using sample selected from normally distributed population with mean of µ = 80 and standard deviation of σ = 20. Calculate power of test if researcher uses sample of n = 25 individuals.
which of the following numerical summary measures is not sensitive to outliers in a dataset?ii onlyall of thesenone of
a computer center has three printers a b c which print at different speeds. programs are routed to the first available
The student with the 92 found a grading error on her exam and her correct grade was 95. There were no other grading errors. After correcting this student's paper, the five number summary for the midterm exam will be
Could you please tell in what situation the maentl hanszel test is more appropriate than using chi square. I believe maentl hanszel is used when a confounding variable is present thus allowing for adjustment
Sample standard deviation of 1.1%. Using alpha = 0.05, does the analyst have statistical evidence to reject the claim made by the magazine?
Assume that the order of the salespeople on the list is relevant.
Of 1338 people who came into a blood bank to give blood, 253 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
Discuss the advantages and disadvantages of different types of financing:
A standard deviation of 14 inches. What is the probability that the mean annual snowfall during 49 randomly picked years will exceed 96.8 inches?
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