A candy company claims that 17% of the jelly beans in its spring mix are pink.Suppose that the candies are packaged at random in bags containing about 400 jelly beans.A class of students opens several bags,counts the various colours of jelly beans,and calculates the proportion that are pink.In one bag,the students found 14% of the jelly beans were pink.Is this an unusually small proportion of pink jelly beans? Explain your response.
A)This is an extremely unlikely result.It is 0.21 standard deviations below the mean.
B)This is a very unusual result.It is 0.08 standard deviations below the mean.
C)This is not an unusual result.It is only 1.60 standard deviations below the mean.
D)This is a very unusual result.It is 0.05 standard deviations below the mean.
E)This is not an unusual result.It is only 0.05 standard deviations below the mean.

Question

Quizplus · Accepted Answer

This is not an unusual result because being 1.60 standard deviations below the mean is within the range of what might be expected due to natural sampling variability. In a normal distribution, results within 2 standard deviations from the mean are considered not unusual.

A Candy Company Claims That 17% of the Jelly Beans