Answer:
a) 120
b) 30
c) Because we can estimate the mean with the mid range
Explanation:
a)
The mid range can be calculated as
Mid range=(minimum value+maximum value)/2
Mid range=(60+180)/2
Mid range=240/2
Mid range=120
b)
The standard deviation can be computing by dividing the range by 4.
Range=maximum-minimum
Range=180-60
Range=120
Standard deviation=120/4
Standard deviation=30
c)
Assumption of normality is important because mean and standard deviation can be estimated from mid range using normality.
Answer:
the desired estimated mean caffeine content is 120mg.
Explanation:
a) Determine the desired mean using the midrange of the data.
The formula to determine the midrange is
Now substitute the desired Maximum and minimum values in the given formula. Therefore, the desired midrange is determine as follows:
Therefore, the desired estimated mean caffeine content is 120mg.
b)
Evaluation of the desired standard deviation using the empirical rule
According to the desired rule of empirical, we predict that if the data is from normal distribution, than interval
c)
According to empirical rule almost all the values are in the limits. As the estimated mean caffeine content is 120mg, Let the estimate of standar
