SOLUTION: Please help me solve this problem, thanks! The length of easy listening songs has mean 153 seconds and standard deviation 35 seconds. Determine the probability (as percent) that

Question 1203242: Please help me solve this problem, thanks!
The length of easy listening songs has mean 153 seconds and standard deviation 35 seconds. Determine the probability (as percent) that a random selection of 23 songs will have mean length of less than 149.35 seconds.
The probability is: %
(Round your answer to the nearest percent)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
population mean is 153 seconds.
population standard deviation is 35 seconds.
sample size is 23.
standard error = 35 / sqrt(23) = 7.298.
probability that the sample will have a mean length of less than 149.35 seconds is equal to .3085 = 30.85%.

keep in mind that you may need to round to the nearest percent.
i didn't do that.
this applies to all the problemms you posted that i answered.

here are the results, using the same calculator i used for all 3 problems.

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