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Chapter 11: Q.37 (page 656)
test statistics ------
The value of test statistics is.
Given data
To find the test statistics:
Test StatistIcs
or
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Read the statement and decide whether it is true or false.
In a goodness of fit test, if the p-value is , in general, do not reject the null hypothesis
A plant manager is concerned her equipment may need recalibrating. It seems that the actual weight of the . cereal boxes it fills have been fluctuating. The standard deviation should be at most . In order to determine if the machine needs to be recalibrated, randomly selected boxes of cereal from the next day鈥檚 production were weighed. The standard deviation of the boxes was . Does the machine need to be recalibrated?
Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places College students may be interested in whether or not their majors have any effect on starting-salaries after graduation. Suppose that recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table shows the data. Conduct a test of independence.
| Major | |||
| English | |||
| Engineering | |||
| Nursing | |||
| Business | |||
| Psychology |
Table
Perform a goodness-of-fit test to determine whether the local results follow the distribution of the U.S. overall student population based on ethnicity.
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
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