The past records of a supermarket show that its customers spend an average of $95 per visit at this store. Recently the management of the store initiated a promotional campaign according to which each customer receives points based on the total money spent at the store, and these points can be used to buy products at the store. The management expects that as a result of this campaign, the customers should be encouraged to spend more money at the store. To check whether this is true, the manager of the store took a sample of 14 customers who visited the store. The following data give the money (in dollars) spent by these customers at this supermarket during their visits. 109 136 107 116 101 109 110 94 101 97 104 83 67 120 Assume that the money spent by all customers at this supermarket has a normal distribution. Using a 5% significance level, can you conclude that the mean amount of money spent by all customers at this supermarket after the campaign was started is more than $95?
The past records of a supermarket show that its customers spend an average
of $95 per visit at this store. Recently the management of the store initiated a promotional
campaign according to which each customer receives points based on the total money
spent at the store, and these points can be used to buy products at the store. The
management expects that as a result of this campaign, the customers should be
encouraged to spend more money at the store. To check whether this is true, the manager
of the store took a sample of 14 customers who visited the store. The following data give
the money (in dollars) spent by these customers at this supermarket during their visits.
109 136 107 116 101 109 110 94 101 97 104 83 67 120
Assume that the money spent by all customers at this supermarket has a normal
distribution. Using a 5% significance level, can you conclude that the mean amount of
money spent by all customers at this supermarket after the campaign was started is more
than $95?
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