Question

The distribution of sample means calculated using samples of size 16 has a mean of 100...

The distribution of sample means calculated using samples of size 16 has a mean of 100 and a standard error of 2.25. What is the variance of the original distribution?

I have answered the question below

Please up vote for the same and thanks!!!

Do reach out in the comments for any queries

Variance of the sample means is given by

=> x2 = 2/N

=> 2 = x2 * N

==> Population variance = Standard devation^2/N

Std dev = std. error*sqrt(n)

= 2.25*16 = 36

=> Population variance = 36^2*16

= 20736

Earn Coins

Coins can be redeemed for fabulous gifts.

Need Online Homework Help?

Most questions answered within 1 hours.

Active Questions
• If 133.2 kJ of heat are added to 5.80 × 102 g of water at 22.0°C,...
• true/false An unweighted path length measures the number of edges in a graph. Breadth first search...
• Give an example of the effect of interest rate changes on a fixed coupon bond, what...
• Thirty-two small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5...
• The value of the integral   ∫C(3x2+ycosx)dx+(sinx−4y3)dy∫C(3x2+ycos⁡x)dx+(sin⁡x−4y3)dy, where CC is an arbitrary path from A(−π,−1)A(−π,−1) to B(2π,1)B(2π,1),...
• the ordinates of a 6-h unit hydrograph for a particular catchment are 0,10,30,50,40,30,20,10 and 0 m3/s...