Question

It is known that the population mean length of a song on a particular radio station...

It is known that the population mean length of a song on a particular radio station is 3.1 minutes, the population standard deviation of the lengths of the songs is 7.48 minutes and the distribution is slightly skewed to the right.  

A random sample of 28 of the songs played at this particular radio station are selected and the mean length of these songs is determined. According to the Central Limit Theorem, the sample mean of the 28 songs belongs to a "sampling distribution of sample means". This sampling distribution will have a standard deviation of.....

Round your answer to three decimal places if needed.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

mean = = 3.1 minutes

standard deviation = = 7.48 minutes

n = 28

= = 3.1 minutes

= / n = 7.48/ 28 = 1.414

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