Question

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.1 level that the drug stays in the system for more than 363 minutes. For a sample of 19 patients, the mean time the drug stayed in the system was 373 minutes with a variance of 576. Assume the population distribution is approximately normal.

Step 1 of 3: State the null and alternative hypotheses.

Step 2 of 3: Find the P-value for the hypothesis test. Round your answer to four decimal places.

Step 3 of 3: Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Solution :

Given that,

= 373

s = 24

n = 19

a.) Hypothesis:

H0 : 363

Ha : 363

Test Statistic:

t = ( - ) / (s /n)

     t = (373 - 363) / ( 24 / 19 )

t = 1.816

P - value = 0.0430

if P- value < 0.1 then reject H0.

P-value < 0.1, we reject H0.