7 Over a period of time, it has been shown that the mean number of customers entering a small store is 6 per hour.
The store runs a promotion, selling many products at lower prices.
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- Luke randomly selects an hour during the promotion and counts 11 customers entering the store.
He claims that the promotion has changed the mean number of customers per hour entering the store.
Investigate Luke's claim, using the \(5 \%\) level of significance.
7 - Luke randomly selects another hour and carries out the same investigation as in part (a).
Find the probability of a Type I error, giving your answer to four decimal places.
Fully justify your answer.
7 - When observing the store, Luke notices that some customers enter the store together as a group.
Explain why the model used in parts (a) and (b) might not be valid.
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