Chapter 11: Q. 46 (page 657)
A meteorologist wants to know if East and West Australia have the same distribution of storms. What type of test should she use?
The meteorologist will use the homogeneity test.
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Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.
How did you know to test the variance instead of the mean?
A sample of commercial businesses was surveyed for recycling one commodity; a commodity here means any one type of recyclable material such as plastic or aluminum. Table shows the business categories in the survey, the sample size of each category, and the number of businesses in each category that recycle one commodity. Based on the study, on average half of the businesses were expected to be recycling one commodity. As a result, the last column shows the expected number of businesses in each category that recycle one commodity. At the % significance level, perform a hypothesis test to determine if the observed number of businesses that recycle one commodity follows the uniform distribution of the expected values.
| Business Type | Number in class | Observed Number that recycles one commodity | Expected number that recycles one commodity |
| office | |||
| Retail/ Wholesale | |||
| Food/ Restaurants | |||
| Manufacturing/ Medical | |||
| Hotel/Mixed |
Table 11.41
A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in Table. Conduct a test of homogeneity. Test at a level of significance.
The marital status distribution of the U.S. male population, ages and older, is as shown in Table 11.35.
| Martial Status | Percent | Frequency |
| never married | 31.3 | |
| married | 56.1 | |
| widowed | 2.5 | |
| divorced /separated | 10.1 |
Is there a difference between the distribution of community college statistics students and the distribution of university statistics students in what technology they use on their homework? Of some randomly selected community college students, 43 used a computer, 102 used a calculator with built in statistics functions, and 65 used a table from the textbook. Of some randomly selected university students, 28 used a computer, 33 used a calculator with built in statistics functions, and 40 used a table from the textbook. Conduct an appropriate hypothesis test using a 0.05 level of significance.
Read the statement and decide whether it is true or false.
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