Question

Country	Sample Size	Sample Mean	Sample Standard Deviation
UK	n=20	X1= 8.39	S1= 0.035347565
Turkey	n=20	X2= 1.88	S2= 0.005744989

a) Test at 5% level individually if the mean percentage for each of the countries is different from 10%.

b)   Obtain a 95% confidence interval for the difference of means for the two countries.

c) Test an appropriate pair of hypotheses for the two means at 5% level of significance.

d)   For each country test at 5% level if the mean for March is different from the mean for April using 10 paired samples. Pair them as follows: 1st day from March paired with 1^st day from April, 2^nd day from March with 2^nd day from April etc.

Answer 1

a)

for UK

for Turkey

b)

c)

Ho : m1 = mu2

Ha: mu1 <> mu2

p-value = 0

since p-value < alpha

we reject the null hypothesis

we conclude that there is signfiicant difference

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