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Answer:
Mean = 94
Standard deviation = 1.12
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error
In this problem, we have that:
By the Central Limit Theorem
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Mean = 94
Standard deviation: