Question

Different types of bees are very similar in appearance. Statistical analysis of certain measurements, like wing width, can be used to distinguish one kind of bee from another,

Using a random sample of 10 bees, 95% confidence interval for the wing width (in millimeters) of an unknown species of bees from a certain hive is taken and found to be (2.8236, 2.8904).

Which of the following conclusions can be made?

A) We are 95% confident that the mean wing width for all bees in the hive is between 2.8236 and 2.8904 meters

B) If a different sample of 10 bees is used to construct a 95% confidence interval for wing width it will be the exact confidence interval of the original 10 bees.

C) Bees taken from the hive are not likely to be from a known species of bees with mean wing width 2.82 mm because 2.82 is not in confidence interval.

D) 95% of all the bees in the hive will have wing width between 2.8236 and 2.8904 mm.

E) If you had 100 different samples of 10 bees from the hive you would expect 95 out of the 100 samples to have a mean between 2.8236 and 2.8904 millimeters.

Answer 1

The correct conclusion that can be made from this is:

If you had 100 different samples of 10 bees from the hive you would expect 95 out of the 100 samples to have a mean between 2.8236 and 2.8904 millimeters.

Option E is correct.