An investment website can tell what devices are used to acce

An investment website can tell what devices are used to access the site. The site managers wonder whether they should enhance the facilities for trading via smart phones, so they want to estimate the proportion of users who access the site that way (even if they also use their computer sometimes). They draw a random sample of 200 investors from their customers. Suppose that the true proportion of smart phone users is 43%.

What would you expect the shape of the sampling distribution for the sampling portion to be?

A- Normal

B – Uniform

C- Exponential

D- None of these

What would the mean of this sampling distribution?

A- The mean would be _____.

B- The mean cannot be determined

If the sample size were increased to 500, would your answer change?

A- Yes, although the shape and symmetry characteristics would remain, the mean would increase.

B- No, the shape, symmetry characteristics, and mean will only change If the the sample increased by at least 1000.

C. No, the shape and symmetry characteristics would still be approximately the same and the mean would still be the same.

D. Yes, although the mean would still be the same, the shape and symmetry characteristics would change.

Solution

Q1.
A- Normal

Q2.
Mean = 200 * 0.43 = 86

Q3.

For n= 500 , the mean will be 215
A- Yes, although the shape and symmetry characteristics would remain, the mean would increase.