In 2018 the average distance of a fly ball is 320 feet with a standard deviation...
In 2018 the average distance of a fly ball is 320 feet with a standard deviation of 25 feet. Suppose we randomly sample 100 fly balls, use the central limit theorem to answer the following questions.
1 State the mean and standard deviation for average distance of the
100 fly balls using the central limit theorem.
2. Find the probability that the 100 balls traveled an average of less than 315 feet?
3. Still using the central limit theorem but now focusing on the Sum of the 100 fly balls. State the sum and standard deviation.
4. Find the probability that the sum of the 100 fly balls is less than 32,300 feet?
5. Find the probability that the 100 balls traveled an average
greater than 325 feet?
d. Find the 80th percentile of the distribution of the average of
100 fly balls.
Homework Answers
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In 2018 the average distance of a fly ball is 320 feet with a
standard deviation...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. (a) What is the probability that the 49 balls traveled an average of less than 240 feet? (Round to 3 decimal places) (b) Find the 80th percentile of the distribution of the average of 49 fly balls.
Use the information below, answer the next 2 questions: Suppose that the distance of fly balls...
Use the information below, answer the next 2 questions: Suppose that the distance of fly balls hit to the outfield (in basebal) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. (a) What is the probability that the 49 balls traveled an average of less than 240 feet? (Round to 3 decimal places) QUESTION 21 (b) Find the 80th percentile of the distribution of the average of...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 210 feet and a standard deviation of 48 feet. Let X = distance in feet for a fly ball. a. Give the distribution of X. b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.) c. Sketch the graph. d....
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 256 feet...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 256 feet and a standard deviation of 60 feet. We randomly sample 49 fly balls. Part (a) If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X ~ , . Part (b) What is the probability that the 49 balls traveled an average of...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 238 feet and a standard deviation of 44 feet. We randomly sample 49 fly balls. A) What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.) B) Find the 60th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 260 feet and a standard deviation of 50 feet. Let X- distance in feet for a fly ball. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (3) X~(pick one) b·(35) For a random fly ball, what is the probability that this ball traveled...
240 Suppose that the distance of fly balls hit to the outfield (in baseball) is normally...
240 Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 60 feet. Let X- distance in feet for a fly ball. feet and a standard deviation of In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (396) X ~ |(pick one) b. (396) For a random fly ball, what is the probability that...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 244 feet and a standard deviation of 59 feet. We randomly sample 70 fly balls Let X-average distance in feet for 70 fly balls. Enter numbers as integers or fractions in "p/q" form, or as decimals accurate to nearest 0.0 a. (.20) X ~ (pick one) #) ( b. (.20) Use the mean and standard deviation of X to determine...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 229 feet and a standard deviation of 44 feet. We randomly sample 42 fly balls. Let X¯= average distance in feet for 42 fly balls. Enter numbers as integers or fractions in "p/q" form, or as decimals accurate to nearest 0.01 . (.20) X¯∼ (pick one) PBNE ( , ) . (.20) Use the mean and standard deviation of X¯ to determine the...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 248 feet and a standard deviation of 46 feet. We randomly sample 49 fly balls. Part(a) If X = average distance in feet for 49 fly balls, then give the distribution of X Round your standard deviation to two decimal places Part (b) What is the probability that the 49 balls traveled an average of less than 238 feet? (Round...
Use the information below, answer the next 2 questions: Suppose that the distance of fly balls hit to the outfield (in basebal) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. (a) What is the probability that the 49 balls traveled an average of less than 240 feet? (Round to 3 decimal places) QUESTION 21 (b) Find the 80th percentile of the distribution of the average of...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 260 feet and a standard deviation of 50 feet. Let X- distance in feet for a fly ball. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (3) X~(pick one) b·(35) For a random fly ball, what is the probability that this ball traveled...
240 Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 60 feet. Let X- distance in feet for a fly ball. feet and a standard deviation of In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (396) X ~ |(pick one) b. (396) For a random fly ball, what is the probability that...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 244 feet and a standard deviation of 59 feet. We randomly sample 70 fly balls Let X-average distance in feet for 70 fly balls. Enter numbers as integers or fractions in "p/q" form, or as decimals accurate to nearest 0.0 a. (.20) X ~ (pick one) #) ( b. (.20) Use the mean and standard deviation of X to determine...
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 248 feet and a standard deviation of 46 feet. We randomly sample 49 fly balls. Part(a) If X = average distance in feet for 49 fly balls, then give the distribution of X Round your standard deviation to two decimal places Part (b) What is the probability that the 49 balls traveled an average of less than 238 feet? (Round...
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