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What does the confidence level of a confidence interval tell you?
Suppose that a population has mean, µ, and standard deviation, σ. What does the central limit theorem tell us about the distribution of the sample mean?
Government regulations indicate that the total weight of cargo in a certain kind of airplane cannot exceed 310 kg. On a particular day a plane is loaded with 100 boxes of a particular item only. Historically, the weight distribution for the individual boxes of this variety has a mean of 3.2 kg and standard deviation 0.4 kg.
a. Interpret the meaning of the "a mean of 3.2 kg" in terms of repeated samplng.
b. What is the distribution of the sample mean weight for the boxes (give the name of the distribution and appropriate parameter values)?
c. What is the probability that the government regulation is met?
Mathematical Properties The sum of deviations of the items from the arithmetic mean (taking signs into account) is always zero, i.e. = 0. The sum of
1. Calculate the mean and mode of: Central size 15 25 35 45 55 65 75 85 Frequencies 5 9 13 21 20 15 8 3 The following data shows the monthly expenditure of 80 students of
You will recall the function pnorm() from lectures. Using this, or otherwise, Dteremine the probability of a standard Gaussian random variable exceeding 1.3. Using table(), or
The proportion of American Express credit-card holders who pay their credit card bill in full each month is 23%; the other 77% make only a partial or no payment. (a) In a random
This box plot displays the diversity wfood; the data ranges from 0.05710 being the minimum value and 0.78900 being the maximum value. The box plot is slightly positively skewed at
Ask queFrom these studies, which of the following may be considered a variable that can have a probability distribution? [I] Percentage of Sub-Saharan Africans that smoke [II] Perc
(a) The Horton's initial infiltration capacity for a catchment is 204 mm/h and the constant infiltration value at saturation is 60 mm/h. For a rainfall in excess of 204 mm/h mainta
The data le for this assignment is brain-body-wts.txt, which lists the averages brain weights (gm) and body weights (kg) for a number of animal species. Your task is to t an appr
The cornlnunalities h j represent the fraction of the total variance' 'accounted for of variabie j. Ry calculating the communalities we can keep track of how much of-the orig
You are attempting to purchase a part from a specialty vendor. Your company requires a C p of at least 1.67 on a critical dimension of the part. The dimensional specific
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