Sleep. W.S. Gosset (Student) refers to data recording the number of hours of additional sleep gained by 10 patients from the use of laevohyoscyamine hydrobromide. We want to see if there is strong evidence that the herb can help people get more sleep.
a) State the null and alternative hypotheses clearly.
b) A t-test of the null hypothesis of no gain has a t-statistic of 3.680 with 9 degrees of freedom. Find the P-value.
c) Interpret this result by explaining the meaning of the P-value.
d) State your conclusion regarding the hypotheses.
e) This conclusion, of course, may be incorrect. If so, which type of error was made?