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The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7...

The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 bowling balls is selected. What is the probability that the average weight of the sample is less than 11.27 pounds?

Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.

Please explain how to use Ti-84 Plus CE with this

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

P ( < 11.27) = P ( = P (Z < - ) [ where Z is a standard normal variable ]

                         = P (Z <= -0.51111) = P (Z< = - 0.51) = 0.30503 = 0.3050 [ Round to 4 decimal places]

Used standard normal table to get the Probability value.

Please let ma know if you have any doubts. Thanks!!

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