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## One truck from lakeland trucking inc can carry a load of 5068.8 lb. Records show that the weights of boxes that it carries have a mean of 75

Question

One truck from lakeland trucking inc can carry a load of 5068.8 lb. Records show that the weights of boxes that it carries have a mean of 75 lb and a standard deviation of 16 lb. For sample size of 64, find the mean and standard deviation of x bar.

a) mean x(bar) =2, standard deviation of x(bar) = 75

b) 16, 75

c) 75, 2

d) 75, 16

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2021-09-13T11:36:52+00:00
2021-09-13T11:36:52+00:00 1 Answer
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## Answers ( )

Answer:c) 75, 2

Step-by-step explanation:The

Central Limit Theoremestabilishes that, for a random variable X, with mean and standard deviation , the sampling distribution of the sample mean, with a large sample size, can be approximated to a normal distribution with mean and standard deviation .In this problem, we have that:Records show that the weights of boxes that it carries have a mean of 75 lb and a standard deviation of 16 lb. This means that .

For sample size of 64, find the mean and standard deviation of x barWe have that .

So the correct answer is:c) 75, 2