O Part (a) O Part (b) What is the probability that the 49 balls traveled an average of less than 224 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. O210 220 230 240 250 O 210 220 230 240 250

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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can someone explain how I solve this problem step by step please, thank you!

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 232 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls.
Part (a)
Part (b)
What is the probability that the 49 balls traveled an average of less than 224 feet? (Round your answer to four decimal places.)
Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability.
O 210
220
230
240
250
210
220
230
240
250
O 210
230
250
O 210
220
230
240
250
220
240
Transcribed Image Text:Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 232 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls. Part (a) Part (b) What is the probability that the 49 balls traveled an average of less than 224 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. O 210 220 230 240 250 210 220 230 240 250 O 210 230 250 O 210 220 230 240 250 220 240
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