Nominal Variable

(1) Which of the following can be used to test the hypothesis that two nominal variables are related?
Answer

a contingency table.

a chi-square table.

an ANOVA table.

a scatter diagram.

(2) On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?
Answer

0.002

0.344

0.599

0.100

(3) A farmer who grows genetically engineered corn is experiencing trouble with corn borers. A random check of 5,000 ears revealed the following: many of the ears contained no borers. Some ears had one borer; a few had two borers; and so on. The distribution of the number of borers per ear approximated the Poisson distribution. The farmer counted 3,500 borers in the 5,000 ears. What is the probability that an ear of corn selected at random will contain no borers?
Answer

0.3476

0.4966

1.000

0.0631

(4) David’s gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station.
 

What is the probability that no more than twenty pay in cash?
Answer

0.0

0.1

0.9

1.0

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