Let x stand for the number of calories in each individual snack. 25 snacks are sampled at a time. The population mean is 95 calories and the population standard deviation is 2.5 calories. What is the mean and standard deviation of the sampling distribution of sample means? a. mean = 19. standard deviation = 2.5
b. mean = 95, standard deviation = 0.5
c. mean = 95, standard deviation = 2.5
d. mean = 19. standard deviation = 0.5

b)

Mean of the sample μₓ = 95

Standard deviation of the sample (S) = 0.5

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 25

Mean of the Population μ = 95 calories

Standard deviation of the Population = 2.5 calories

Step(ii):-

Mean of the sample μₓ = μ

Mean of the sample μₓ = 95

Standard deviation of the sample

just do 5.2 + 2 ( 7.2) and 1/3 x 3 (.9) and youv'e got your equation. 0.9( 9/10) + 7.2 ^2 = 16.4 hope i could !

step-by-step explanation: