Question
Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.19 cm and a standard deviation of 0.38 cm. Describe where approximately 99.7% of apple diameters lie.
A) below 6.81 and above 7.57
B) below 6.05 and above 8.33
C) below 6.43 and above 7.95
D) between 6.05 and 8.33
A) below 6.81 and above 7.57
B) below 6.05 and above 8.33
C) below 6.43 and above 7.95
D) between 6.05 and 8.33
Answers
GPT 3.5
D) between 6.05 and 8.33
This is because 99.7% of values lie within 3 standard deviations of the mean in a bell-shaped distribution. So, approximately 99.7% of apple diameters lie between 7.19 - (3*0.38) and 7.19 + (3*0.38), which is between 6.05 and 8.33.
This is because 99.7% of values lie within 3 standard deviations of the mean in a bell-shaped distribution. So, approximately 99.7% of apple diameters lie between 7.19 - (3*0.38) and 7.19 + (3*0.38), which is between 6.05 and 8.33.