Chapter 11: Q.31 (page 660)
What is the p-value?
The p-value is zero.
Given data:
The formula can be used to determine the p-value in an excel sheet, as shown below.
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A teacher predict that the distribution of grades on the final exam will be and they are recorded in table 11.27
The actual distribution for a class of 20 is in table 11.28
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.
A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, members of the sports club are randomly selected. Conduct a test of independence.
| Sport | ||||
| racquetball | ||||
| tennis | ||||
| swimming |
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.
The Insurance Institute for Highway Safety collects safety information about all types of cars every year, and publishes a report of Top Safety Picks among all cars, makes, and models. Table 11.58 presents the number of Top Safety Picks in six-car categories for the two years 2009 and 2013. Analyze the table data to conclude whether the distribution of cars that earned the Top Safety Picks safety award has remained the same between 2009 and 2013. Derive your results at the 5%
significance level.
When looking at energy consumption, we are often interested in detecting trends over time and how they correlate among different countries. The information in Table 11.57 shows the average energy use (in units of kg of oil equivalent per capita) in the USA and the joint European Union countries (EU) for the six-year period 2005 to 2010. DoW? Perform the analysis at the 5% significance level.
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