Question
Suppose that the Secretary of the Interior of the Bogot District believes that the degree of Satisfaction with salary in economists is equal to the
Suppose that the Secretary of the Interior of the Bogot District believes that the degree of Satisfaction with salary in economists is equal to the degree of satisfaction with the salary in the doctors of the city. Suppose further that previous studies show that the average degree of satisfaction with salaries in doctors is of 80, and that to determine that of the economists, a sample of the scores was taken in the degree of satisfaction given in table 1. With a significance level of 0.05 and assuming that the scores of the degree of satisfaction with the salary of the economists are normally distributed with a standard deviation of 15.3 Test the hypothesis of the Secretary of the Interior regarding the degree of satisfaction for the salary between doctors and economists in the city.
TABLE 1. DEGREE OF SATISFACTION BY PROFESSION | ||||||||
ADMINISTRATOR | ACCOUNTANT | ECONOMIST | ||||||
WORK | SALARY | PROMOTION | WORK | SALARY | PROMOTION | WORK | SALARY | PROMOTION |
72 | 57 | 40 | 71 | 49 | 58 | 84 | 53 | 63 |
90 | 62 | 66 | 84 | 74 | 37 | 87 | 66 | 49 |
84 | 42 | 66 | 72 | 37 | 86 | 72 | 59 | 79 |
85 | 56 | 64 | 63 | 48 | 78 | 88 | 55 | 52 |
71 | 45 | 68 | 84 | 60 | 29 | 74 | 70 | 51 |
88 | 49 | 42 | 73 | 56 | 55 | 85 | 89 | 46 |
72 | 60 | 45 | 94 | 60 | 52 | 79 | 59 | 41 |
88 | 36 | 47 | 90 | 27 | 67 | 69 | 47 | 16 |
77 | 60 | 75 | 72 | 7 | 37 | 90 | 56 | 23 |
64 | 43 | 61 | 86 | 37 | 59 | 77 | 90 | 51 |
71 | 75 | 74 | 86 | 72 | 72 | 71 | 36 | 55 |
81 | 28 | 62 | 95 | 66 | 52 | 75 | 53 | 92 |
70 | 38 | 54 | 65 | 42 | 68 | 76 | 51 | 54 |
87 | 51 | 57 | 82 | 37 | 54 | 89 | 80 | 64 |
74 | 59 | 82 | 82 | 60 | 56 | |||
89 | 66 | 62 | 90 | 76 | 70 | |||
85 | 57 | 67 | 78 | 52 | 72 | |||
74 | 47 | 63 | ||||||
82 | 49 | 91 |
Solve. What are the null and alternative hypotheses? Which hypothesis should be accepted and which should be rejected? Statistically and graphically justify and infers verbatim about the results. Send the procedure in the space to load the solution of the final workshop 3 in the virtual classroom. Validate your answers in the final workshop validation questionnaire 3.
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