Statistics for Business | Assignment-1

Running head: Statistics for business 1
Statistics for business
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Running head: Statistics for business 2
Question one
Mean and standard deviation of median age of people in different countries
Table 1
mean=30.74 , std dev =8.89 , n=230
Hypothesis
H0: μ = 30.74
H1: μ > 30.74
Level of significance = 0.05
The mean median age for Austria is 44 years
Z = 44−30.74
8.89 =1.49
Since Z calculated (1.49) is less than Z tabulated (1.645), the null hypothesis is rejected. The
conclusion is that μ > 30.74.

Running head: Statistics for business 3
Australia has got a larger mean median age that the populations’ mean. Her median age is 1.49
standard deviations above the mean. This could be explained by the fact that life expectancy in
Australia is generally high compared to the other countries.
Question two
Body mass index (BMI)
Table 2
mean=25.67 , std dev=2.33, n=19 0
Hypothesis
H0: μ = 25.67
H1: μ > 25.67
Level of significance = 0.05
The median BMI for Belgium is 25.5
Z = 25.5−25.67
2.33 =−0.07