Chapter 11: Q. 95 (page 665)
Read the statement and decide whether it is true or false.
The test for independence uses tables of observed and expected data values.
Short Answer
The statement is true.
Chapter 11: Q. 95 (page 665)
Read the statement and decide whether it is true or false.
The test for independence uses tables of observed and expected data values.
The statement is true.
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The standard deviation of the chi-square distribution is twice 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
Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors.
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’s production were weighed. The standard deviation of the boxes was . Does the machine need to be recalibrated?
A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in Table 11.5.
A random sample was taken to determine the actual number of defects. Table 11.6 shows the results of the survey.
State the null and alternative hypotheses needed to conduct a goodness-of-fit test, and state the degrees of freedom.
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