MATHEMATICS

8. TABLE 12-18

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. Treating this as a randomized block design, the results are presented in the table that follows.

Referring to Table 12-18, the null hypothesis for the Friedman rank test is

[removed]A) H0: MField1 = MField2 = MField3 = MField4 = MField5
[removed]B) H0: MSmith = MWalsh = MTrevor
[removed]C) H0: μField1 = μField2 = μField3 = μField4 = μField5
[removed]D) H0: μSmith = μWalsh = μTrevor

9. TABLE 12-10

Parents complain that children read too few storybooks and watch too much television nowadays. A survey of 1,000 children reveals the following information on average time spent watching TV and average time spent reading storybooks.

Average time spent reading story books

 Average time spent watching TV Less than 1 hour Between 1 and 2 hours More than 2 hours Less than 2 hours 90 85 130 More than 2 hours 655 32 8

Referring to Table 12-10, we want to test whether there is any relationship between average time spent watching TV and average time spent reading storybooks. Suppose the value of the test statistic was 164 (which is not the correct answer) and the critical value was 19.00 (which is not the correct answer), then we could conclude that

[removed]A) there is no connection between time spent reading storybooks and time spent watching TV.
[removed]B) there is connection between time spent reading storybooks and time spent watching TV.
[removed]C) more time spent watching TV leads to less time spent reading storybooks.
[removed]D) more time spent reading storybooks leads to less time spent watching TV.

10. TABLE 12-3

A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day’s transactions gave the counts shown in the table for each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.

Referring to Table 12-3, the critical value of the test statistic at 1% level of significance is:

[removed]A) 13.2767
[removed]B) 7.7794
[removed]C) 23.2093
[removed]D) 20.0902

11. When testing for independence in a contingency table with 3 rows and 4 columns, there are ________ degrees of freedom.

[removed]A) 12
[removed]B) 5
[removed]C) 7
[removed]D) 6

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