HYPOTHESIS TESTING Write the 5-step solution for each of the following problems. You may use formula or generate excel print out. Note to the tutor: Kindly upload it through a file. Thank you. In testing the hypothesis there are 5 steps involved: 1. State the null Ho and alternative Hahypothesis 2. Identify the: a. level of significance (a), b. the type of test (one-tailed left directional, one-tailed right directional or two-tailed non directional) c. identify the critical value or the tabular value 3. Data analysis and the Decision Rule 4. Decision (either to reject or accept the null hypothesis) 5. Conclusion 1. A drug company alleges that the average time for a cough syrup to take effect is 15 minutes, with standard deviation of 3 minutes. In a random sample of 49 patients, the average time was 18 minutes. Test the company's allegation against the alternative that the average time is not 15 minutes using 15 minutes using 1% level of significance. 2. Using a=0.05, test if there is a significant difference in the number of male and female COA students who favor that the regulation on the wearing of school uniform be removed. Results of a survey on 300 students are presented in the table below. Action Male Female Total For removal 100 80 180 Not for removal 50 70 120 total 150 150 300 3. A teacher wants to find out if there is a significant difference in the academic performance of two groups of students. One group meets thrice a week while the other meets twice a week. (Use a=0.01) Final exam score of the 2 groups 3x/week 80 85 74 95 66 85 79 55 75 5 65 66 80 77 75 2x/week 66 98 84 85 56 59 25 53 66 52 4. A. Test for the significant relationship between employees' satisfaction and employees' efficiency. B. Test for the significant difference between the employees' under Supervisor 1 and employees under Supervisor 2 in terms of their job satisfaction and efficiency Under Supervisor 1 Under Supervisor 2 employees Satisfaction Efficiency employees Satisfaction Efficiency level output level output 3.17 12 3.77 36 3.40 22 3.00 15 4.20 31 3.47 22 3.90 21 4.17 41 3.37 22 4.23 29 SOO JOUAWN 4.00 39 6 3.57 20 3.77 37 7 4.20 35 3.53 25 8 4.03 18 4.37 36 9 4.33 38 4.00 17 10 3.63 9 11 3.23 19 11 3.53 23 12 4.43 36 12 4.97 42 13 2.47 17 14 2.80 14 OUTPUT TABLE Write the answer to each of the following required measures based on the data presented. Interpret the results and make conclusions. A.1 EMPLOYEES UNDER SUPERVISOR 1 : Job satisfaction Level and Efficiency Out put Correlation value Interpretation of the correlation value: Significant Relationship Test t-value test: Critical value: Decision: Conclusion: A.2 UNDER SUPERVISOR 2:Job Satisfaction Level and Efficiency Output Correlation value Interpretation of the correlation value Significant relationship Test t-value test: Critical Value: Decision: Conclusion: 5. To examine the effects of work environment on attitude towards work, an industrial psychologist randomly assigned a group of newly-hired production workers to three different rooms. Six trainees were randomly assigned in three rooms, which were identical except for the color of the walls. The first room was blue, the second was green, and the third was yellow. During the training period, the trainees stayed mostly in their rooms. At the end of the training, an attitude scale towards work was administered. The following data were gathered. Use a=0.05. Blue Green Yellow 50 59 43 45 49 51 54 54 48 42 38 55 58 40 47 36 36 57 a. Perform post-ANOVA test if the decision arrived at is to reject Ho. b. If you are the industrial psychologist, what work station will you recommend to the production manager? Why