A large company institutes an exercise break for its workers to see if this will

Question

A large company institutes an exercise break for its workers to see if this will improve job satisfaction an measured by a questionnaire that was given to a random sample of workers to assess their satisfaction. Complete parts a and b. Identify the procedure you would use to assess the effectiveness of the exercise program and check see if the conditions allow for the use of that procedure. Use a paired t-test Check the assumptions and conditions for inference. Select all assumptions and conditions that are both satisfied and necessary for this test. Independence Assumptions Pained Data Assumption Independent Groups Assumption Normal Population Assumption Equal Variance Assumption Test an appropriate hypothesis and state your conclusion Assume alpha = 0.10. Identify the null and alternative hypotheses. Let the differences be After-Before. Choose the correct answer below. Calculate the test statistic. t = ___ (Round to two decimal places as needed.) Calculate the P

Explanation / Answer

(a) It is correctly done by You.

(b) The question is a directional hypothesis so

Null Hypothesis : H0 : d = 0

Alternative Hypothesis : Ha : d > 0

option d is the answer.

(c) Test Statistic

Averege of difference dbar = 8

Standard deviation of difference sd= 7.63

so Test Statistic

t = dbar / ( sd/n) = 8/ (7.63/10) = 8/2.4128 = 3.32

P - value = 0.0045

Reject the Null Hypothesis and there is sufficient evidence that the mean job satisfication has increased.

Worker # Before After d 1 31 30 -1 2 28 39 11 3 26 47 21 4 49 46 -3 5 25 28 3 6 30 44 14 7 25 40 15 8 15 20 5 9 16 20 4 10 25 36 11 sum 80 Average 8 std. dev. 7.63

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