IS exam 2 practice 3/3
A Type I error is committed when
We reject a null hypothesis that is true.
If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000
a one-tailed test should be utilized.
How many 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. Suppose the test statistic does fall in the rejection region at α = 0.05. Which of the following conclusions is correct?
At α = 0.05, there is not sufficient evidence to conclude that the average number of tissues used during a cold is 60 tissues.
How many 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. Suppose the test statistic does fall in the rejection region at α = 0.05. Which of the following decisions is correct?
At α = 0.05, we reject H0.
True or False: For a given level of significance, if the sample size is increased, the probability of committing a Type II error will increase
False
How many 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.
H0 : μ ≥ 60 and H1 : μ < 60 D) H0 : = 52 and H1 : ≠ 52
Which of the following would be an appropriate null hypothesis?
The mean of a population is equal to 55.
Which of the following would be an appropriate alternative hypothesis?
The mean of a population is greater than
If an economist wishes to determine whether there is evidence that average family income in a community equals $25,000
a two-tailed test should be utilized.
If, as a result of a hypothesis test, we reject the null hypothesis when it is false, then we have committed
no error.
The power of a test is measured by its capability of
rejecting a null hypothesis that is false.
How many 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. Using the sample information provided, calculate the value of the test statistic.
t = (52 - 60)/(22/10)
If the Type I error (α) for a given test is to be decreased, then for a fixed sample size n
the Type II error (β) will increase.
The power of a statistical test is
the probability of rejecting H0 when it is false.
