7. Determine if the following statements are true (T) or false (F). 1) If we wou

Question

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

1) If we would reject a null hypothesis at the 5% level, we also reject it at the 1% level ( T ).

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 ( T ).

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 a null hypothesis at the 5% level, we also reject it at the 1% level ( F ).

For example, the estimated p-value is 0.03. It would reject a null hypothesis at the 5% level whereas it does not at 1%.

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 ( F ).

>> The sampling distribution is the probability distribution of a statistic obtained through a large number of samples drawn from a specific population. Hence, it follows a symmetric.

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 ( T ).

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

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