You have observed that the average size of a particular goldfish is 1.5 inches long. The standard deviation of the size of the goldfish is 0.25 inches. What is the size of a goldfish such that 95 per cent of the goldfish are smaller? Assume a normal distribution for the size of goldfish.
A) 1.01 inches
B) 1.09 inches
C) 1.91 inches
D) 1.99 inches

Question

Quizplus · Accepted Answer

For a normal distribution, 95% of the data falls below approximately 1.645 standard deviations above the mean. Calculating: 1.5 + (1.645 * 0.25) = 1.91125 inches, which is closest to 1.91 inches.

You Have Observed That the Average Size of a Particular