Description
Q1: the airquality dataset contains the daily air quality measurements in New York, from May
to September 1973. Without assuming the data to have normal distribution, test at .05
significance level if the monthly ozone density in New York has identical data distributions from
May to September 1973. What is null hypothesis? What is alternative hypothesis?
Q2: the test results for English and Math tests for a class are given in table below:
English 56 75 45 71 62 64 58 80 76 61
Math 66 70 40 60 65 56 59 77 67 63
Without any assumptions on the distribution of the data, investigate if math and English scores
are correlated. Also investigate if math and English scores have any monotonic relation.
Q3:
The table below shows the growth of an insect fed upon a variety of sugar diets where each
column represents a diet. Check if there is any significant evidence that shows diet affects the
growth.
C G F FG S test
1 75 57 58 58 62 63
2 67 58 61 59 66 64
3 70 60 56 58 65 66
4 75 59 58 61 63 65
5 65 62 57 57 64 67
6 71 60 56 56 62 68
7 67 60 61 58 65 64
8 67 57 60 57 65 NA
9 76 59 57 57 62 NA
10 68 61 58 59 67 NA
Q4:
Table below shows the results for survey of amphibians on 5 month of every year from 2004 to
2006. The first column (count) represents the number of individuals captured. We wish to know
if there is any significant difference on count due to year. What is null hypothesis, what is
alternate hypothesis?
count month year
1 2 1 2004
2 48 1 2005
3 40 1 2006
4 3 2 2004
5 120 2 2005
6 81 2 2006
7 2 3 2004
8 16 3 2005
9 36 3 2006
10 7 4 2004
11 21 4 2005
12 17 4 2006
13 2 5 2004
14 14 5 2005
15 17 5 2006
