Question

In: Statistics and Probability

Suppose that the mean height for women at a large company is assumed to be 70...

Suppose that the mean height for women at a large company is assumed to be 70 inches with a standard deviation of 3 inches.

  • If the women are placed randomly into classes of 36 each, what will be the standard deviation of the class means for height (i.e. the standard error of the mean)?
  • Using your answer to part (a), what is the z score for a class whose average height is 67.2 inches? What is the two-tailed p-value for this class?
  • If you were testing the null hypothesis (i.e. μ=70), would you reject H0 for this class at the 0.05 level for a two-tailed test?

Solutions

Expert Solution

1. The standard deviation of the class means for height (i.e. the standard error of the mean)

2. The z score for a class whose average height is 67.2 inches

3.


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