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1.     T or F If a population is normally distributed, the sampling distribution of sample means...

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Statistics

1.     T or F If a population is normallydistributed, the sampling distribution of sample means will

also always be normally distributed

2.    If a population is not normally distributedwhen will the sampling distribution of sample means

be guaranteed to have a normal distribution?

3.    T or F For a given population and a givensample size there is only one sampling distribution of

sample mean that will be generated.   .

4.    The following 2 terms are NOT exactly thesame. Define each including how they are similar and

how they are different

a.Sampling Error:  

b.    Standard Error:  

5.     T or F Another name for the standarddeviation of the sampling distribution of sample means is

the standard error.  

6.      What are the 2 reasons thatsamples with larger sizes tend to have sample means closer tothe

true population value?

7.     A population is normally distributedwith a mean of 50 and a standard deviation of 20. For

samples of size 25, what is the probability of randomly samplingand find a sample mean of 54 or

more? Assume population is normally distributed. Show work forpartial credit. Solve to a final

addition or subtraction step. Circle your final answer.

Answer & Explanation Solved by verified expert
4.4 Ratings (572 Votes)
1 True Thesampling distribution of sample means will also always be normallydistributed2 If the sample size is large enough so that CLT can beapplied In general a sample size of 30 can be considered3 True For agiven population and a given sample size there can only be onesampling distribution of    See Answer
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