568 CHAPTER 10 Chi-Square Tests and the F -Distribution 14. Housing Prices The table shows the sale prices (in thousands of dollars) of a sample of one-family houses in three cities. At a = 0.10, can you conclude that at least one mean sale price is different from the others? (Adapted from National Association of Realtors) Kansas City Ann Arbor Birmingham 209.6 603.5 309.5 288.1 56.1 195.1 208.0 285.7 65.3 61.9 367.3 524.9 92.3 181.8 103.4 352.9 119.3 122.2 196.5 380.1 221.1 427.2 184.2 212.7 373.9 484.6 243.0 500.6 322.2 420.6 125.8 565.4 Extending Concepts Using Technology to Perform a Two-Way ANOVA Test In Exercises 15 –18, use technology and the block design to perform a two-way ANOVA test. Use a = 0.10. Interpret the results. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. 15. Advertising A study was conducted in which a sample of 20 adults was asked to rate the effectiveness of advertisements. Each adult rated a radio or television advertisement that lasted 30 or 60 seconds. The block design shows these ratings (on a scale of 1 to 5, with 5 being extremely effective). 30 sec 2, 3, 5, 1, 3 3, 5, 4, 1, 2 60 sec 2, 5, 3, 4, 4 1, 4, 2, 2, 5 Radio Television Length of ad Advertising medium 16. Vehicle Sales The owner of a car dealership wants to determine whether the gender of a salesperson and the type of vehicle sold affect the number of vehicles sold in a month. The block design shows the numbers of vehicles, listed by type, sold in a month by a sample of eight salespeople. Male 6, 5, 4, 5 2, 2, 1, 3 4, 3, 4, 2 5, 7, 8, 7 1, 0, 1, 2 4, 2, 0, 1 Female Car Truck Van/SUV Gender Type of vehicle
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