A report on a certain fast food restaurant states that , the mean order total, is $9. The manager of the restaurant believes the mean is higher. A random sample of orders will be selected. The sample mean will be calculated and used in a hypothesis test to investigate the belief. Which of the following is the correct set of hypotheses?
AP Statistics Hypothesis Tests for Means

Quiz
•
Mathematics
•
12th Grade
•
Hard
Anthony Clark
FREE Resource
14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A company that manufactures laptop batteries claims the mean battery life is 16 hours. Assuming the distribution of battery life is approximately normal, a consumer group will conduct a hypothesis test to investigate whether the battery life is less than 16 hours. The group selected a random sample of 14 of the batteries and found an average life of 15.6 hours with a standard deviation of 0.8 hour. Which of the following is the correct test statistic for the hypothesis test?
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Researchers are testing a new diagnostic tool designed to identify a certain condition. The null hypothesis of the significance test is that the diagnostic tool is NOT effective in detecting the condition. For the researchers, the more consequential error would be that the diagnostic tool is not effective, but the significance test indicated that it is effective. Which of the following should the researchers do to avoid the more consequential error?
Increase the significance level to increase the probability of Type I error
Increase the significance level to decrease the probability of Type I error.
Decrease the significance level to increase the probability of Type I error
Decrease the significance level to decrease the probability of Type I error.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A marketing executive is investigating whether this year’s advertising campaign has resulted in greater mean sales compared with last year’s mean sales. The executive collects a random sample of 100 customer orders from a large population of orders and calculates the sample mean and sample standard deviation. Which of the following is the appropriate test for the executive’s investigation?
A one-sample -test for a population mean
A one-sample -test for a population mean
A one-sample -test for a population proportion
A two-sample -test for a difference between means
A matched-pairs -test for a mean difference
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Milk has a PH of 6.7, which is slightly acidic. Cheese makers add a culture to milk to lower the PH, making it more acidic and turning it into cheese. A manufacturer is experimenting with a new culture that claims to produce a PH of 5.2, which is perfect for cheddar cheese. A set of 50 test batches resulted in an average PH of 5.11. A one sample -test was conducted to investigate whether there is evidence that the mean PH is different from 5.2. The test resulted in a PH-value of 0.018. Which of the following is a correct interpretation of the -value?
The probability that the true PH is equal to 5.2 is 0.018.
The probability that the true PH is different from 5.2 is 0.018.
The probability of observing a sample mean of 5.11 or less is 0.018 if the true mean is 5.2.
The probability of observing a sample mean of 5.11 or more is 0.018 if the true mean is 5.2.
The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A company director investigated whether there is a difference in the mean number of overtime hours worked each
week by employees assigned to two different managers. Each manager, A and B, manages 100 employees. Random
samples of 35 employees from manager A and 40 employees from manager B were selected. The number of
overtime hours worked was recorded for the 75 employees each week. Have the conditions been met for inference with a confidence interval for the difference in the population means?
Yes, all conditions have been met.
No, because the data were not collected using a random method.
No, because the size of at least one of the samples is greater than 10 percent of the population.
No, because the sample sizes are not large enough to assume the distribution of the difference in sample
means is normal.
No, because the sample sizes are not the same.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?
Ho : μ = 17, Ha : μ ≠ 19
Ho : μ = 19, Ha : μ ≠ 19
Ho : μ = 19, Ha : μ ≠ 17
Ho : μ = 17, Ha : μ ≠ 17
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