1. Consider testing H0 : µ 0. For a fixed level of significance , the tcrit valu

Question

1. Consider testing H0 : µ 0. For a fixed level of significance , the tcrit value increases as the sample size increases. True or False? Why?

2. In a small sample, if we mistakenly use the normal table to determine the critical value (and make a decision by comparing it with tobs), then we are more likely to commit Type I error compared to using the correct t-distribution table to determine the critical value. True or False? Why?

3. To investigate the difference between morning and afternoon fuel consumption of the same car, we should use an independent-sample t-test. True or False? Why?

4. If two independent samples have the same size, then they can be considered as paired samples. True or False? Why?

Explanation / Answer

1)

false , critical value of t only increase when sample size is decreasing

2)

false , that is another type of error that is nothing to deal with I and II error , those error are from the sample and decision rule about the Ho

3)

false , we can use paired t test because it is the same car only in different time so we need a paired t test

4)

false

because to be consider as paired sample we need to look which variables are in the test

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