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?