Suppose that a sample of size 45 is drawn from a population with mean 66 and sta

Question

Suppose that a sample of size 45 is drawn from a population with mean 66 and standard deviation 43. Find the value of sigma_, the standard deviation of the distribution of sample means. Write only a number as your answer. Round to two decimal places (for example: 8.21) 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 11.02 pounds? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.

Explanation / Answer

Answer:

Q2.

Standard error = sd/sqrt(n) = 43/sqrt(45)

=6.41

Q3).

Standard error = sd/sqrt(n) = 2.7/sqrt(36) =0.45

Z value for 11.02, z =(11.02-11.5)/0.45 = -1.07

P( mean x < 11.02) = P( z < -1.07)

=0.1423

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