Q9 statistics quiz
Which of the following would be an appropriate null hypothesis?
The mean of a population is equal to 55.
A Type I error is committed when
we reject a null hypothesis that is true.
Suppose we want to test H 0 : μ ≥ 30 versus H 1 : μ < 30. Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject H 0 in favor of H 1?
= 27, S = 4
The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. The appropriate hypotheses to test are:
H 0 : μ ≤ 30 versus H 1 : μ > 30.
How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean 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.
H 0 : μ ≥ 60 and H 1 : μ < 60.
Which of the following would be an appropriate alternative hypothesis?
The population proportion is less than 0.65.
Which of the following statements is not true about the level of significance in a hypothesis test?
The significance level is another name for Type II error.
How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean 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 p-value is less than α in a two-tail test,
the null hypothesis should be rejected.
A Type II error is committed when
we don't reject a null hypothesis that is false.