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Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn't receive a certificate. Show all work to determine whether Marcus' score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
In one room of the science fair were six projects, and each project was entered by a pair of students. During the fair, some of the students visited other projects in the room and shook hands with some of the other project entrants.
Confident that the population mean weight loss, , of this exercise program is between 1.28 pounds and 20.72 pounds. How Do We Choose the Sample Size for a Study? (e) Which confidence interval is wider?
A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid. Use the angle theta to find the set of parametric equations of ..
What is the distance between the origin and the point (8, -17)? If necessary, round your answer to two decimal places.
Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected.
Identify the point estimate for estimating the true proportion of college students who prefer that drink.
An investment grows by 21% over a 6-year period. What is its effective annual percent growth rate?
Find the center of mass of the lamina that has the given shape and density. Be sure to enter the ordered pair as (xcm,ycm) where both points are rounded to the tenths place and the parentheses included.
a right circular cone of height 3 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume?
peed of a stream is 4 mph. If a boat travels 44 miles downstream in the same time that it takes to travel 22 miles upstream, what is the speed of the boat in still water?
The base of a triangle is 6 cm greater than the height. The area is 56 cm^2. Find the height and the length of the base.
Use the first derivative test to locate and identify all relative extrema"
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