Write the expression with fewer terms. 10x-2x
2 answers:
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Answer:
(1) The correct option is (B).
(2) The mean of the distribution of sample means is 19 fl. oz.
(3) The standard deviation of the distribution of sample means is 0.283 fl. oz.
(4) The correct option is (C).
Step-by-step explanation:
According to the Central Limit Theorem if we have a normal population with mean <em>μ</em> and standard deviation <em>σ</em> and a number of random samples are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
The mean of the sampling distribution of sample mean will be:
And the standard deviation of the sampling distribution of sample mean will be:
The information provided is:
<em>μ</em> = 129
<em>σ</em> = 0.80
<em>n</em> = 8
(1)
The shape of the sampling distribution of sample mean will be Normal.
This is because the population from which the sample is selected is normal.
The correct option is (B).
(2)
Compute the mean of the distribution of sample means as follows:
Thus, the mean of the distribution of sample means is 19 fl. oz.
(3)
Compute the standard deviation of the distribution of sample means as follows:
Thus, the standard deviation of the distribution of sample means is 0.283 fl. oz.
(4)
Any change in the sample size will have no effect on the mean of the distribution of sample means.
But, if the sample is increased or decreased than the standard deviation will be decreased or increased respectively.
This is because the standard deviation of the distribution of sample means is inversely proportional to the sample size.
So, for <em>n</em> = 100 the standard deviation is:
Thus, the standard deviation was decreased.
The correct option is (C).