In: Statistics and Probability
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 22.0 pounds and a standard deviation of 5.4 pounds.
Step 1 of 2:
If a sampling distribution is created using samples of the
amounts of weight lost by 77 people on this diet, what would be the
mean of the sampling distribution of sample means? Round to two
decimal places, if necessary.
Solution :
Given that ,
mean = = 22
standard deviation = = 5.4
n = 77
sample distribution of sample mean is ,
=
= 22
note
sampling distribution of standard deviation
= / n = 5.4 / 77
= 0.615