when a lack of fit test has a high p value then there is evi

2. Using the labeling as in Table 9.7, write the contrasts that would correspond t the following statements (a) The difference between 4- and 6-cylinder engines is the same for the STANDARD oil as it is for the GASMISER oil. (b) The difference between STANDARD and GASMISER oil is the same t 4-cylinder engines as it is for 6-cylinder engines. There is no difference between 4- and 6-cylinder engines, averaged ore three types of oil. (c)

Solution

The standard hypothesis test procedures in conducting the lack of fit F-test. First, we specify the null and alternative hypotheses:

If the p-value is higher then null hypothesis is accepted and we make a decision that there is no linear fit and if the p value is less than the significance leve then the alternative hypothesis is accepted and we make a decision that there is a lack of linear fit

Therefore a higher-p value indicates no lack of linear fit.

Answer is true.