Question

CAN SOMEONE PLEASE HELP ME WITH THIS STATISTICS PROBLEM I DONT UNDERSTAND IT AT ALLL!!!! The mean of a normal probability distribution is 390; the standard deviation is 95. a. Μ ± 1σ of the observations lie between what two values? Lower Value Upper Value b. Μ ± 2σ of the observations lie between what two values? Lower Value Upper Value c. Μ ± 3σ of the observations lie between what two values? Lower Value Upper Value

Answer 1

A.)

Lower Value = 295

Upper Value = 485

B.)

Lower Value = 200

Upper Value = 580

C.)

Lower Value = 105

Upper Value = 675

Explanation:

Given that mean (M) = 390

Standard deviation (σ) = 95

Lower Value = mean value - number of standard deviations specified

Upper Value = mean value + number of standard deviations specified

a. Μ ± 1σ of the observations lie between what two values?

Lower Value = 390 - 1(95) = 295

Upper Value = 390 + 1(95) = 485

b. Μ ± 2σ of the observations lie between what two values?

Lower Value = 390 - 2(95) = 200

Upper Value = 390 + 2(95) = 580

c. Μ ± 3σ of the observations lie between what two values?

Lower Value = 390 - 3(95) = 105

Upper Value = 390 + 3(95) = 675