Multiple choice problems based on hypothesis testing.
1. A Type II error is committed when
a) we reject a null hypothesis that is true.
b) we don't reject a null hypothesis that is true.
c) we reject a null hypothesis that is false.
d) we don't reject a null hypothesis that is false.
2. A Type I error is committed when
a) we reject a null hypothesis that is true.
b) we don't reject a null hypothesis that is true.
c) We reject a null hypothesis that is false.
d) We don't reject a null hypothesis that is false.
3. If a test of hypothesis has a Type I error probability (α) of 0.01, we mean
a) if the null hypothesis is true, we don't reject it 1 percent of the time.
b) If the null hypothesis is true, we reject it 1 percent of the time.
c) If the null hypothesis is false, we don't reject it 1% of the time.
d) If the null hypothesis is false, we reject it 1% of the time.
4. If the Type I error (α) for a given test is to be decreased, after that for a fixed sample size n
a) Type II error (β) will also decrease.
b) Type II error (β) will increase.
c) Power of the test will increase.
d) A one-tailed test must be utilized.
5. How several Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold = 52, s = 22. Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 60.
6. How several Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average number of tissues used during a cold. Presume a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52, s = 22. Using the sample information provided, compute the value of the test statistic.
1)t = (52 - 60)/ 22
2)t = (52 - 60)/ (22/ 100)
3)t = (52 - 60)/ (22/ 100^{2})
4)t = (52 - 60)/ (22/ 10)