Sampling distribution question?

Posted on 2017-05-01 18:53:00 in Math by JAME

The height of 1000 students are approximately normally distributed with a mean of 174.5cm and a standard deviation of 6.9cm. If 200 random samples of size 25 are drawn from this population and the means recorded, determine 

a) the expected mean and standard deviation of the sampling distribution 

2) the no.of sample means that falls between 172.5 and 175.8 cm in inclusive 

3) the no.of sample means that falling below 172cm 

can someone give the answers with a good explanation??

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