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The height of students at a university has historically been 174.5cm and is believed to be...

The height of students at a university has historically been 174.5cm and is believed to be approximately normally distributed. The s is not known, but from a random sample of 10 students, S=7.5cm. Given n=10, what is mean, standard deviation (standard error), and distribution of X? If you were to run samples of 10 repeatedly, what proportion would you expect to fall between 172 to 176cm? You want to flag any sample that falls more than 2 standard errors from the mean.  What will your limits be in terms of X?

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