41. A machine that is programmed to package 1.20 pounds of cereal in each cereal box is being tested for its accuracy. A sample of 36 cereal boxes was taken, and the mean and standard deviation were calculated as 1.22 pounds and 0.06 pounds, respectively.
For #41, which one is correct?
Question options:
1. We need to do a Shapiro test for checking the normality of data before using a t-test.
2. We can do a z-test right away.
3. We can do a t-test right away since the sample size is big.
4. No test available for this situation.
Also for #42, which is correct?
1. We need to do a Shapiro test first, and if the conclusion of the Shapiro test is "reject H0," then we can do a t-test.
2. We need to do a Shapiro test first, and if the conclusion of the Shapiro test is "Do not reject H0," then we can do a t-test.
3. We can do a z-test right away.
4. We can do a t-test right away.
If the p-value of the Shapiro test is 0.001, then which one is the correct statement?
Note that the alpha is 0.05.
1. Since the conclusion of the Shapiro test is "Do not reject H0," we can't do a t-test.
2. Since the conclusion of the Shapiro test is "Do not reject H0," we can do a t-test.
3. Since the conclusion of the Shapiro test is "reject H0," we can't do a t-test.
4. Since the conclusion of the Shapiro test is "reject H0," we can do a t-test.