No explanation needed:

1. Research question:Is the average height in the population of all fifth grade students in NY different from 55 inches?

What statistical test should be conducted to address this research question?

Single sample proportion z test

Single sample mean t test

Two independent proportions z test

Two independent means t test

2. H₀: ₁ - ₂ = 0 H_a: ₁ - ₂ > 0

To address the hypotheses above, data were collected from two small independent samples. Sample statistics are presented in the following table:

Group	N	Mean	Standard Deviation
Group 1	16	90.457	6.879
Group 2	15	88.974	7.145

The data collected from Group 1 were skewed to the right. The data collected from Group 2 were approximately normal.

It is appropriate to use the t distribution to analyze these data?

Yes, the t distribution may be used

No, the t distribution should not be used