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.

The wing width for a specific type of honeybee is approximately normally distributed with a mean of 2.82 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing widths are given below. Are the sample bees likely to be from a population of this one type of honeybee?

Wing Width Measurements (mm)

2.88	2.83	2.91	2.83	2.94
2.87	2.80	2.80	2.83	2.88

Interpret how the area under the normal distribution given by the P-Value relates to the sample statistic. Choose the best answer. You may assume the P-Value is calculated using a Two-Tail hypothesis test.

A) The P-Value gives the probability that the mean wing width of all the bees in the hive is 2.82 mm.

B) If the mean wing width of all the bees in the hive is 2.82 mm, the P-Value gives the probability of getting a sample statistic (sample mean) as extreme as the sample mean given by the 10 sampled bees.

C) if the mean wing width of all the bees in the hive is 2.86 mm, the P-Value gives the probability of getting a sample statistic (sample mean) as extreme as the sample mean given by the 10 sampled bees.

D) The P-Value gives the probability that the mean wing width of all the bees in the hive is 2.86 mm.

Answer 1