In: Statistics and Probability
An antifungal medication was applied to the skin of eight adult subjects. One hour later, the amount of active ingredient that had been absorbed into the skin was measured for each subject. The results, in micrograms, were 2.13 1.88 2.07 1.19 2.51 5.61 2.81 3.05 Perform a hypothesis test to determine whether mean amount absorbed is less than 3 micrograms. Use α=0.05 level of significance.
Construct a 90% confidence interval for the data.
Ans.
Obs. | x | x2 |
1 | 2.13 | 4.5369 |
2 | 1.88 | 3.5344 |
3 | 2.07 | 4.2849 |
4 | 1.19 | 1.4161 |
5 | 2.51 | 6.3001 |
6 | 5.61 | 31.4721 |
7 | 2.81 | 7.8961 |
8 | 3.05 | 9.3025 |
SUM = | 21.25 | 68.7431 |