A COVID frontliner wants to estimate the average amount that a resident in Maramag would donate to COVID affected families in Maramag. Twenty residents were randomly selected from the Municipality of Maramag. The 20 randomly residents were contacted by telephone and asked how much they would be willing to donate. Their responses are given below.
30 20 15 8 10 40 20 25 20 28 20 25 50 40 20 10 25 25 20 15
1.1 Test at 0.05 level of significance using R for a two-tailed test.
1.2 Test at 0.05 level of significance using R for a an appropriate one-tailed test.
Refer to the pgviews data, answer the following:
2.1 Is the distribution of the data normally distributed?
2.2 Are the variances equal?
2.3 At 0.05 level of significance, does Sie A and Site B differ statistically?
3-1. Two medications for the treatment of panic disorder, Medication1 and Medication 2, were compared with a placebo. A random sample of 36 patients was obtained from a listing of about 4,000 panic disorder patients who volunteered to participate in clinical trials. The 36 patients were randomly divided into three groups of equal size. The first group received Medication 1 for 10 weeks, the second group received Medication 2 for 10 weeks, and the third group received a placebo pill for 10 weeks. On week 11, all 36 patients were given the 7-item Panic Disorder Severity Scale (PDSC) which is scored on a 0 to 28 scale (lower scores are better). The PDSC scores are given below.
Group 1: 12 10 11 14 15 9 11 12 13 10 15 10
Group 2: 12 13 17 11 16 13 12 14 17 12 16 18
Group 3: 14 21 17 16 17 22 16 22 19 20 18 16
3.1 Is the distribution of the data normally distributed?
3.2 Are the variances equal?
3.3 At 0.05 level of significance, does the PDSC scores differ significantly among the different treatments?
3.4 Use R for the conduct of multiple comparison test provided that 3.3 is significant.