Answer: The distribution of sample means is:
As the sample size is more than 30 so the sampling distribution of the sample means can be said to be approximately normal with the mean equal to 10.53 hours and standard deviation equals to 0.33 hours.
Explanation:
The mean,
μ=10.53
The population standard deviation,
σ= 2
The sample size, n=36
z score:
z= (xbar −μ)/σ
The standard error:
σxbar=σ/√n
=2/√36
=0.33
The standard error represents the distribution sample mean is 0.33.
