In a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standar
d deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams. At a = 0.05 is there enough evidence for the researcher to conclude that the Wendy's fish sandwich has less sodium than the Long John Silver's fish sandwich?
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
Step-by-step explanation:
Given that in a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams
H0: The two means are equal
Ha: The two means are not equal
(Two tailed test at 5% level)
Variable A Variable B
Mean 1080.00 1120.00
SD 75.00 100.00
SEM 13.26 16.01
N 32 39
95% CI: -82.65 to 2.65
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
