Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13. If during a typical week Susan bowls 16 games, use an appropriate normal transformation to calculate the probability that her average score for the week is between 222 and 228.
Solution :
Given that,
mean = = 225
standard deviation = = 13
n = 16
= = 225
= / n = 13 / 16 = 3.25
P(222 < < 228)
= P[(222 - 225) / 3.25 < ( - ) / < (228 - 225) / 3.25)]
= P(-0.92 < Z < 0.92)
= P(Z < 0.92 ) - P(Z < -0.92)
Using z table,
= 0.8212 - 0.1788
= 0.6424
Susan has been on a bowling team for 14 years. After examining all of her scores...
Lesson 6 2.2: 2-Scores and Normal Distributions STUDENT NAME DATE TAKE IT HOME basketball team wants to score more points. To get better at scoring points the while 1 The Westwood Warriors zone defense, w team is trying to improve its offensive strategies. Some opponents primarily use a others primarily use a man-to-man defense. When the Warriors play against teams t defense they hat use a zone score an average of 67 points per game. When they play against teams...
please help with all you can. answer 10 ill give a thumbs up! Question 1 A particular fruit's weights are normally distributed, with a mean of 263 grams and a standard deviation of 23 grams. The heaviest 4% of fruits weigh more than how many grams? Give your answer to the nearest gram. Submit Question Question 2 A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.9 years, and standard deviation of 1.1 years....