In: Statistics and Probability
In each of the following situations, state which of the following items in the STAT-TESTS menu would be the most appropriate.
With a sample proportion of 54% and a sample size of 350, test the claim that a majority of students favor a trimester system. |
Answer 1Choose...χ2-Test1-PropZTest2-SampTInterval2-SampZTest1-PropZIntervalZ-TestZInterval2-SampTTestTInterval |
Test the claim that the mean waiting time for the elevators on the Dubois Library is 2.7 minutes using data collected from 150 patrons, assuming that the true population standard deviation is 0.8 minutes. |
Answer 2Choose...χ2-Test1-PropZTest2-SampTInterval2-SampZTest1-PropZIntervalZ-TestZInterval2-SampTTestTInterval |
Given two data sets of size n= 13 and n=10, consisting of measurements of heights from two separate populations, find the interval estimate of the difference between the mean heights for the populations. |
Answer 3Choose...χ2-Test1-PropZTest2-SampTInterval2-SampZTest1-PropZIntervalZ-TestZInterval2-SampTTestTInterval |
The incidence of stroke for 400 smokers taking a new form of a drug was 2.5% (10 out of the 400) and the incidence of stroke for 600 non-smokers was 1.5% (9 out of the 600). Test to see whether the difference in risks is significant. |
Answer 4Choose...χ2-Test1-PropZTest2-SampTInterval2-SampZTest1-PropZIntervalZ-TestZInterval2-SampTTestTInterval |
Find an interval estimate of the true proportion of M&Ms that are blue using a sample of size n=400 in which 38 M&Ms are blue. |
Answer 5Choose...χ2-Test1-PropZTest2-SampTInterval2-SampZTest1-PropZIntervalZ-TestZInterval2-SampTTestTInterval |
Solution:
With a sample proportion of 54% and a sample size of 350, test the claim that a majority of students favor a trimester system.
Answer: 1-PropZTest
Explanation: We have to compare the sample proportion with the hypothetical population proportion, therefore, the appropriate function is 1-PropZTest
Test the claim that the mean waiting time for the elevators on the Dubois Library is 2.7 minutes using data collected from 150 patrons, assuming that the true population standard deviation is 0.8 minutes.
Answer: Z-Test
Explanation: We have to compare the mean with the hypothetical value of the population mean with population standard deviation known
Given two data sets of size n= 13 and n=10, consisting of measurements of heights from two separate populations, find the interval estimate of the difference between the mean heights for the populations.
Answer: 2-SampTInterval
Explanation: We have to find the confidence interval estimate for the difference between the two means with unknown standard deviations.
The incidence of stroke for 400 smokers taking a new form of a drug was 2.5% (10 out of the 400) and the incidence of stroke for 600 non-smokers was 1.5% (9 out of the 600). Test to see whether the difference in risks is significant.
Answer: .χ2-Test (2-PropZTest but this option is not given)
Find an interval estimate of the true proportion of M&Ms that are blue using a sample of size n=400 in which 38 M&Ms are blue.
Answer: 1-PropZInterval
Explanation: We have to find the confidence interval for the single population proportion