Question

In: Statistics and Probability

The average weight of a football players on a team has been computed to be 235.5...

The average weight of a football players on a team has been computed to be 235.5 pounds with a standard deviation of 30.5 pounds. What is the probability that a random sample of 100 players will weigh more than 24,000 pounds?

Solutions

Expert Solution

Let weight of each player be denoted by X.

By Central Limit Theorem,

follows Normal Distribution with mean = and variance =

(Converted into a standard normal variable)


Related Solutions

It is suggested that the true average weight of college football players is 200 lb. In...
It is suggested that the true average weight of college football players is 200 lb. In a sample of 30 players, the sample average is 206.73 lb. The sample standard deviation is 6.35 lb. Does the true average weight differ from what was suggested? Test the appropriate hypotheses about the true average weight of college football players. Use α=0.05.
There are 80 players on the Rams Football Team. Assume that the list of players' heights...
There are 80 players on the Rams Football Team. Assume that the list of players' heights is a normally distributed data set. The average of their heights is a normally distributed data set. The average of their heights is 73 inches (6'1") and the standard deviation is 3 inches. a) Estimate the number of players who have height between 70 and 76 inches. b) The Rams play the Chargers, whose players heights had an average of 42 inches and a...
The weight of football players is normally distributed with a mean of 90kg and a standard...
The weight of football players is normally distributed with a mean of 90kg and a standard deviation of 10 kg what is the probability that in a team of 12 players the average weight is less than 85 kg
The weight of football players in the NFL is normally distributed with a mean of 200...
The weight of football players in the NFL is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. 1. What is the probability that a randomly selected football player will weigh more than 243.75 pounds? a. 0.4599 b. 0.0401 c. 0.9599 d. 0.5401 2. What is the probability that a football player will weigh less than 260 pounds? a. 0.9918 b. 0.0528 c. 0.4918 d. 0.0082 3. What percentage of players will weigh between...
The weight of football players in the NFL is normally distributed with a mean of 200...
The weight of football players in the NFL is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. A) What is the probability that a randomly selected football player will weigh more than 243.75 pounds? B) What is the probability that a football player will weigh less than 260 pounds? C) What percentage of players will weigh between 150 to 250 pounds? D) 95% of player weights are less than X pounds. Therefore X...
Below are the jersey numbers of 11 players randomly selected from a football team.
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 93 60 33 72 9 5 75 56 37 20 95 Range = (Round to one decimal place as needed.) Sample standard deviation - (Round to one decimal place as needed.) Sample variance = (Round to one decimal place as needed.) What do the results tell us?  A. The sample standard deviation is too...
Below are the jersey numbers of 11 players randomly selected from a football team
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 14 65 76 16 7 35 92 48 22 83 98 Range = (Round to one decimal place as needed.) Sample standard deviation = (Round to one decimal place as needed.) Sample variance (Round to one decimal place as needed.) What do the results tell us? A. Jersey numbers on a football team vary...
Below are the jersey numbers of 11 players randomly selectedfrom a football team. Find the...
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. what do the results tell us?22 76 75 17 90 99 82 44 29 51 81
The jersey numbers of 11 players randomly selected from the football team. Find the range ,...
The jersey numbers of 11 players randomly selected from the football team. Find the range , variance and standard devation for the given sample data and what the result tell us? 29,51,46,90,32,1,16,44,99,10,49
Below are the jersey numbers of 11 players randomly selected from a football team. Find the?...
Below are the jersey numbers of 11 players randomly selected from a football team. Find the? range, variance, and standard deviation for the given sample data. What do the results tell? us? 68,26,22,18,27,94,39,35,86,69,43
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT