Henry has a defined benefit plan that promises an annual retirement benefit based on 2% of his final 5-year average annual salar
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Answer:
Sample size is 16
Mean 4
Standard deviation of the sample is 0.3.
Explanation
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:
The population has a mean of four hours, with a standard deviation of 1.2 hours. The sample is the 16 of the employees.
So
The sample size is 16, so
The mean of the sample is the same as the population mean, so .
The standard deviation of the sample is