Let Z1, Z2..., Z6o be independent observations from a distribution Z which is not normal. Suppose it is known that the mean of this distribution is 38 and the standard deviation is 6. What can we say about the sample mean? Explain.

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Can someone help explain all this and type it in words.  Please help to answer all because I would like to have further knowledge in statistics but I am unsure about it. Please help answer it.

Let Z1, Z2..., Z60 be independent observations from a distribution Z which is not
normal. Suppose it is known that the mean of this distribution is 38 and the standard
deviation is 6. What can we say about the sample mean? Explain.
Do you agree that the median is sometimes better than the mean as an indicator of
the central tendency. Explain.
Transcribed Image Text:Let Z1, Z2..., Z60 be independent observations from a distribution Z which is not normal. Suppose it is known that the mean of this distribution is 38 and the standard deviation is 6. What can we say about the sample mean? Explain. Do you agree that the median is sometimes better than the mean as an indicator of the central tendency. Explain.
The company AA wants to survey 50 individuals who have purchased
their product. The company has obtained a list of 800 individuals who
had purchased their product last year. Describe how does the sample of
50 individuals is obtained by using a stratified sampling method.
Provide TWO (2) reasons why should a nonparametric technique be
used instead of its parametric counterpart and TWO (2) advantages of
nonparametric testing.
Transcribed Image Text:The company AA wants to survey 50 individuals who have purchased their product. The company has obtained a list of 800 individuals who had purchased their product last year. Describe how does the sample of 50 individuals is obtained by using a stratified sampling method. Provide TWO (2) reasons why should a nonparametric technique be used instead of its parametric counterpart and TWO (2) advantages of nonparametric testing.
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