9. Six randomly selected pea plants were treated with the plant growth regulator "Auxin", and six randomly selected plants were not treated. We wish to know if the growth regulator affects internode growth

Here is that data.

Treated Plants	Untreated Plants
15.2	13.5
12.3	9.8
11.6	10.2
14.8	8.7
10	9.2
14.2	9

1. Calculate the test statistic using Welch's formula. What is the p-value? Show work, do not use JMP. Do you reject the null? Is there a difference in internode length?
2. Calculate the 95% confidence Interval by hand using Welch's formula (do not use JMP). Show work. Do you reject the null? Is there a difference in internode length?