Underlying assumption of normality


1) The 1 population t-test for the mean has an underlying assumption of normality (True/False)

2) For n<100, the t-distribution will be more peaked and less spread out than the z-distribution (True/False)

3) The t distribution is always symmetric around a value of zero (True/False)

4) Both the t and z distributions vary with sample size (True/False)

5) You survey 300 people and find that 80 of them do not have siblings. Is this significantly different from the 25% known for the US average? Find the z* value that you will use to test this question. Assume the z critical value is 1.96 (give answer as 0.XX)

6) For the same question above, is your alternative hypothesis:

a. left tailed

b. right tailed

c. two tailed

d. No answer text provided.

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Basic Statistics: Underlying assumption of normality
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