A restaurant decides to test their ovens thermostat to see i

A restaurant decides to test their oven\'s thermostat to see if it is working properly, that is, if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set at 350 degrees and then the temperature was measured with a thermometer. Ho: mu = 350 and Ha: mu is not equal to 350 The test statistic is equal to 5.46. What is the p-value? A)p-value is between 0.010 and 0.025 B) p-value is less than 0.002 C)p-value is between 0.02 and 0.05

Solution

Here we have n=20 so degree of freedom of test is df=n-1=20-1=19. Since test is two tailed so from t-table, from the row df=19, for t=5.46 two tailed p-value is less than 0.001. From calculator exact p-value is 0.000029. So option B is correct.