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Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size 3. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.
a. Calculate the mean of the 20 samples
b. Draw a histogram showing the 20 sample means. (Use classes -0.5 to 0.5, 0.5 to 1.5, 1.5 to 2.5 and so on).
c. Describe the distribution of the x-bars that you see in part b (shape of distribution, center, and the amount of dispersion).
d. Draw 20 more samples and add the 20 new x-bars to the histogram in part b. Describe the distribution that seems to be developing.
A spherical ballon is being inflated at the rate of 5 cubic inches a minute. At what rate is the radius changing after ten minutes?
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
A rectangular storage container with an open top is to have a volume of 10m3. The length of its base its twice the width. Material for the base costs of $10 per square meter.
Examples of 6-palindromes include {2,5} and the empty set. Show with a combinatorial proof that the number of n-palindromes equals 2^(n/2) for n even, and 2^(n+1/2) for n odd. (Hint: A set of cardinality k has 2k subsets.)
a plane is heading due south with an airspeed of 239 mph. a wind from a direction of 53 degrees is blowing at 10mph. find the bearing of the plane.
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lu..
The base of a solid is a circle of radius ‘ a ‘, and its verticle cross section are equilateral triangles. Find the radius of the circle if the volume of the solid is 20 cubic meters.
a sample of iron has a mass of 195 grams and a volume of 25 cubic centimeters. what is the density of the iron?
marie claims she can predict the sex of pregnant womens babies. she sees 1000 women a year and she always predicts a
Find the equation of a sphere of radius 3 which is tangent to both the planes x-2y+2z=3 and 3x+4z=8
Determine the coefficient of determination. Interpret its value.
A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.
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