Statistics Question

Data provided below

(To be done with EVIEWS or any other data processor)

d)

e) In general, we can conduct hypothesis tests on apopulation central location with EViews by performing the (onesample) t-test, the sign test or the Wilcoxon signed ranks test.2Suppose we would like to know whether there is evidence at the 5%level of significance that the population central location of NARis larger than 5%. which test(s) offered by EViews would be themost appropriate this time? Explain your answer by considering theconditions required by these tests.

(f) Perform the test you selected in part (e) abovewith EViews. Do not forget to specify the null and alternativehypotheses, to identify the test statistic, to make a statisticaldecision based on the p-value, and to draw an appropriateconclusion. If the test relies on normal approximation, alsodiscuss whether this approximation is reasonable this time.

(g) Perform the other tests mentioned in part (e).Again, do not forget to specify the null and alternativehypotheses, to identify the test statistics, to make statisticaldecisions based on the p-values, and to draw appropriateconclusions. Also, if the tests rely on normal approximation,discuss whether these approximations are reasonable this time.

(h) Compare your answers in parts (f) and (g) to eachother. Does it matter in this case whether the population of netreturns is normally, or at least symmetrically distributed or not?Explain your answer.

PURCHASE	NAR
Direct	9.33
Direct	6.94
Direct	16.17
Direct	16.97
Direct	5.94
Direct	12.61
Direct	3.33
Direct	16.13
Direct	11.20
Direct	1.14
Direct	4.68
Direct	3.09
Direct	7.26
Direct	2.05
Direct	13.07
Direct	0.59
Direct	13.57
Direct	0.35
Direct	2.69
Direct	18.45
Direct	4.23
Direct	10.28
Direct	7.10
Direct	3.09
Direct	5.60
Direct	5.27
Direct	8.09
Direct	15.05
Direct	13.21
Direct	1.72
Direct	14.69
Direct	2.97
Direct	10.37
Direct	0.63
Direct	0.15
Direct	0.27
Direct	4.59
Direct	6.38
Direct	0.24
Direct	10.32
Direct	10.29
Direct	4.39
Direct	2.06
Direct	7.66
Direct	10.83
Direct	14.48
Direct	4.80
Direct	13.12
Direct	6.54
Direct	1.06
Broker	3.24
Broker	6.76
Broker	12.80
Broker	11.10
Broker	2.73
Broker	0.13
Broker	18.22
Broker	0.80
Broker	5.75
Broker	2.59
Broker	3.71
Broker	13.15
Broker	11.05
Broker	3.12
Broker	8.94
Broker	2.74
Broker	4.07
Broker	5.60
Broker	0.85
Broker	0.28
Broker	16.40
Broker	6.39
Broker	1.90
Broker	9.49
Broker	6.70
Broker	0.19
Broker	12.39
Broker	6.54
Broker	10.92
Broker	2.15
Broker	4.36
Broker	11.07
Broker	9.24
Broker	2.67
Broker	8.97
Broker	1.87
Broker	1.53
Broker	5.23
Broker	6.87
Broker	1.69
Broker	9.43
Broker	8.31
Broker	3.99
Broker	4.44
Broker	8.63
Broker	7.06
Broker	1.57
Broker	8.44
Broker	5.72
Broker	6.95