A random sample of people who tried 3 types of diet is collectedto determin if mean weight loss differs across diet types. Perform inference at significance level 0.05.

If it is needed, perform inference taking age as a covariate.

Weight Loss: (1.2363, 7.153, 1.1184, 1.1813, 3.213, 13.0692, 14.9883, 10.0838, 10.8581, 11.9292, 9.5496, 11.554, 16.4581, 13.4193, 13.4721)

Diet Type: ('type1', 'type1', 'type1', 'type1', 'type1', 'type2', 'type2', 'type2', 'type2', 'type2', 'type3', 'type3', 'type3', 'type3', 'type3')

Age: (29, 19, 25, 21, 29, 28, 35, 32, 40, 31, 38, 37, 45, 39, 49)

There is not significant evidence that there are differences of mean weight loss across 3 diet types.After adjusting for age, there is significant evidence that there are differences of mean weight loss across 3 diet types.After adjusting for age, there is not significant evidence that there are differences of mean weight loss across 3 diet types.We cannot determine whether there are differences of mean weight loss across 3 diet types.