Question

Hurricane landfall from 1851-2017

a) does the dataset conform to a normal distribution? Name the statistical test you will use to determine this and provide a p-value. What do you conclude?

b) provide 95% CI for when peak hurricane season occurs

Days after June 30th

10 -So this is July 1
44 -July 2, etc
47
48
54
55
57
64
65
66
67
70
72
72
72
72
72
77
78
79
79
81
84
85
88
91
95
96
99
101
103
110
110
110
116

Answer 1

SolutionA:

shapiro test in R used to test normal distribution.

Null Hypothesis:H0:Data conforms to normal distribution

Alternative Hypothesis:H0:Data devaites from normal distribution

Rcode is

Hurricanes <- c(10, 44, 47, 48, 54, 55, 57, 64, 65,

66, 67, 70, 72, 72, 72, 72, 72, 77,

78, 79, 79, 81, 84, 85, 88, 91, 95,

96, 99, 101, 103,110,110,110,116)

shapiro.test(Hurricanes)

Output:

Shapiro-Wilk normality test

data: Hurricanes

W = 0.96577, p-value = 0.3378

p=0.3378

p>0.05

Data conforms to normal distribution.

Solutionb:

t.test(Hurricanes)

Output:

One Sample t-test

data: Hurricanes
t = 20.266, df = 34, p-value < 2.2e-16
alternative hypothesis: true mean is not equal to 0
95 percent confidence interval:
69.12418 84.53296
sample estimates:
mean of x
76.82857

95 percent confidence interval lies in between 69.12418 and 84.53296