The restaurant that has hired you to consult on financial matters has provided y

Question

The restaurant that has hired you to consult on financial matters has provided you with data on how many meals they serve. The historic mean number of meals per day is 164 with a standard deviation of 32 meals per day. Sufficient data has been taken to ensure the meal data is Normally Distributed. They now add several menu "specials". You collect data from 30 days that now include the specials. You find that the mean number of meals per day for those 30 days is 175. At the 95% confidence level, did adding the specials actually help their business? Or, is the increase in the number of meals served just random chance? (i.e. Is it likely that the 30 days you sampled were somehow just randomly higher than normal? Or, did the specials increase business in a statistically significant way?)

Explanation / Answer

Answer : Historical mean of meal = 164

Mean of meal after adding the special meal = 175.

At the 95% confidence level we, can say that Special meal actully hlep the business.

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