Suppose the researchers want to test for the water and caffe

Suppose the researchers want to test, for the water and caffeine group, H0: mu = 29 HA: mu is not = 29 The researchers create a 95% confidence interval for the population mean for this group, (28.3, 33.2). Should the researchers reject or fail to reject H0? Since 29 is included in the confidence interval, they should fail to reject H0 and conclude that the population mean is 29. Since 29 is included in the confidence interval, they should reject H0 and conclude that the population mean is not equal to 29. Since the sample mean, 30.70, is included in the confidence interval, they should fail to reject H0 and conclude that the population mean is 30.70. Since the sample mean, 30.70, is included in the confidence interval, they should reject H0 and conclude that the population mean is 30.70.

Solution

option (a) is correct since 29 is included in CI, and thus it is plausible that true mean is equal to 29