Question

#19

We are interested in seeing if there is a statistically difference between the number of calories eaten daily, on average, by people in America and people in England. We are given the following information

America England

Sample mean 3770    3440

   Population Variance    65025 90000

n    42 30

What could you conclude at the 98% confidence that there is a difference between how many calories are eaten by people in America and England?

Answer 1

For America:

For England:

Null and alternative hypothesis:

Significance level, = 1-0.98 =0.02

Test statistic:

p-value = 2*(1-NORM.S.DIST(ABS(4.893),TRUE)) = 0

As p-value =0 < 0.02, we reject the null hypothesis.

There is enough evidence to claim that there is a difference between calories eaten by people in America and England at 0.02 significance level.