Question

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 384 seconds. For a sample of 14 patients, the average time in which the medicine relieved pain was 386 seconds with a standard deviation of 23. Assume the population distribution is approximately normal. Find the P-value for the hypothesis test. Round your answer to four decimal places.

Answer 1

Solution :

=  384

= 386

S =23

n = 14

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    =  384

Ha :      384

Test statistic = t

= ( - ) / S / n

= ( 386- 384) / 23 / 14

= 0.325

Test statistic = t = 0.325

P-value =0.3750

= 0.05  

P-value >

0.3750 >0.05

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that