Question

2.

A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: chi-square table or F table)

	Sex of Automobile Buyer
Color	Male	Female
Silver	477	298
Black	536	308
Red	482	348

Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

3.

Consider the following sample data with mean and standard deviation of 20.1 and 7.3, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table)

Class		Frequency
Less than 10			27
10 up to 20			80
20 up to 30			60
30 or more			21
		n = 188

Calculate the value of the test statistic. (Round the z value to 2 decimal places, all other intermediate values to at least 4 decimal places and final answer to 3 decimal places.)

Answer 1

( 2 )

The following cross tablulation have been provided. The row and column total have been calculated and they are shown below:

	Column 1	Column 2	Total
Row 1	477	298	775
Row 2	536	308	844
Row 3	482	348	830
Total	1495	954	2449

Expected Values	Column 1	Column 2	Total
Row 1	1495*775/2449 = 473.1013	954*775/2449 = 301.8987	775
Row 2	1495*844/2449 = 515.2225	954*844/2449 = 328.7775	844
Row 3	1495*830/2449 = 506.6762	954*830/2449 = 323.3238	830
Total	1495	954	2449