solution
A chain of stores with 6 stores carries out an advertising campaign. Sales (in millions) the week before and the week after the campaign in the various stores
is shown in the table below. Turnover is always assumed to be normally distributed.
Shop A B C D E F
Fore 2.6 2.2 3.7 2.8 2.7 3.3
After 3.1 2.5 4.4 2.8 3.1 3.7
a) Can a hypothesis test with a significance level of 5% be concluded that the advertising campaign has increased the average turnover in the store chain? Respond
Yes or no. (4p)
(b) Enter the upper limit of a 95% confidence interval before turnover
before the advertising campaign minus the turnover after the advertising campaign ’. Reply with
2 decimals.
is shown in the table below. Turnover is always assumed to be normally distributed.
Shop A B C D E F
Fore 2.6 2.2 3.7 2.8 2.7 3.3
After 3.1 2.5 4.4 2.8 3.1 3.7
a) Can a hypothesis test with a significance level of 5% be concluded that the advertising campaign has increased the average turnover in the store chain? Respond
Yes or no. (4p)
(b) Enter the upper limit of a 95% confidence interval before turnover
before the advertising campaign minus the turnover after the advertising campaign ’. Reply with
2 decimals.
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