Determine if the following statements are true (T) or false (F). 2) If all the t

Question

Determine if the following statements are true (T) or false (F).

2) If all the test scores from 30 students from a population are negatively skewed (where most people did well), the sampling distribution is also a negatively skewed ( ).

3) We have discussed different types of distributions in this class; a) a distribution of a sample, b) a distribution of a population, and c) a distribution of the means from many samples of the population, i.e., a sampling distribution. Among the three, a sampling distribution is the basis of the logic for conducting null hypothesis significance testing ( ).

4) Among the three, a population distribution is the easiest for us to obtain ( ).

Explanation / Answer

1) if we would reject the null hypothesis at the 5% level, we also reject it at the 1% level. This statement is false because if p value is less than 0.05, it doesnt mean it will also be always less than 0.01.

2) If all the test scores from 30 students from a population are negatively skewed (where most people did well), the sampling distribution is also a negatively skewed. This is false because when we take many samples from the population it will approximate the shape of population distribution. One sample can have lot of variability.

3) This is true. As sampling distribution is the basis of the logic for conducting null hypothesis significance testing.

4) This is false. Among the three, a population distribution is the most difficult and many times not practical at all.

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