View the step-by-step solution to:

A medical variable is believed to be normally distributed. Knowing the mean tells whether a certain medicine is e'ective. The mean ,u is unknown and...

normal distribution, sampling distribution, standard error, mean square error, distribution

A medical variable is believed to be normally distributed. Knowing the mean tells whether a certain medicine is
eﬁ‘ective. The mean ,u is unknown and needs to be estimated. It’s time consuming to do experiments and get an
observation for this variable. A medical student plans to spend a month to get a rand_om sample of size 4: {X 1, X2, X3, X4}. Denote the standard deviation of the distribution by a, the sample mean by X4, the sample variance
_ 2
by 32 = \$21-21 (X. — X.) . 1. What's the standard error of It}? What’s the mean square error of it, for estimating .u? 2. What's the distribution of 2d; — Jwas What’s the distribution of 26a — it) m?

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
• -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents