Question

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

Answer 1

mean = 95, standard deviation of sampling distribution = 0.5

Explanation:

sample space n = 25 snacks

mean = bar x = 95 calories

population standard deviation = 2.5 calories

the mean is already given as 95 calories

standard deviation of the sampling distribution = s.d/√n

= 2.5/√25

= 2.5/5

= 0.5

Therefore we have the mean = 95, and standard deviation of sampling distribution = 0.5