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a. the mid term test of a subject consists of two sections, A and B. Scores of ten randomly selected students

attempted the test are listed in the following table

students 1 2 3 4 5 6 7 8 9 10

A 68 79 54 70 86 45 62 73 90 80

B 75 83 67 81 83 57 50 81 95 77

Assume that the populations are normally distributed. Test whether the mean scores of section A and Section B of all students who attempted the test are the same at 1% level of significance

b. the sales manager of a travel agency wishes to investigate the preference of customers in choosing the destination for their coming christmas holidays. a random sample of customers is selected and each of them is asked to choose one place from North America, europe, japan and korea as his or her preferred destination. The results are summarized as below:

Destination North America Europe Japan South Korea

Number 23 38 77 62

Can the manager conclude the customers, as a whole, have equal preference in choosing the four destinations at 1% level of significance?

C. The human resources manager of a company is conducting a survey on the relationship between job satisfaction of employees and their performance rated by the company in a recent appraisal exercise. A random sample of employees is chosen with results tabulated below:

Job satisfaction Rating of performance

Below average average above average

unsatisfactory 28 38 15

neutral 19 45 42

satisfactory 12 33 68

Can the manager conclude that job satisfaction and rating of performance are independent at 1% level of significance?

Top Answer

a) At 1% significance, not enough evidence to reject Ho, can conclude the mean test... View the full answer

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