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...

sample mean, minimum variance unbiased estimator, standard error, mean squared error

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, X 2, X 3, X4}. Denote the standard deviation of the distribution by a, the sample mean by X4, the sample variance
_ 2 by 33 =; ‘=1(X&quot; 4(4) . 1. Is the sample mean it. a random variable? If so, what’s its sampling distribution? 2. Is E. a MVUE (minimum variance unbiased estimator) of pt? 3. What's the standard error of It}? What’s the mean square error of £4 for estimating pt?

### 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