Statistics

a & b Dining has developed their own signature version of the famous dish which they call a&b food. The recipe is treated as a trade secret but the founder has indicated that a&b food is flavoured with spices from South east asia. They have two restaurants. One is in 'a' and the other is in 'b', . Diners can dine in or choose to buy take away packs. The price is the same irrespective. The price is $5 per pack.

The founder and CEO, Mrs. mary is concerned about the difference in revenues of the two restaurants. She feels that absenteeism may be the cause. He will like to open more outlets but feels he must understand the problems first. She has engaged you as a consultant to analyse their business data and advise him.

Mrs. Mary has provided you the data for a sample of 100 days from the 'a' and 'b' outlets. You are to assist Mrs. Mary to analyse the data "a & b data" using Excel software.

provide solutions

(a)

Define 95% confidence intervals for the revenues of the outlets. Identify the measures of location and dispersion. Interpret these confidence intervals in your report. With these findings, can you validate Mrs. Mary claims?

(10 marks)

(b)

Describe the key assumption(s) you have made in constructing this confidence interval. Discuss if this/these assumption(s) reasonable. Use the Central Limit Theorem in your discussions

(4 marks)

(c)

Execute statistical tests to explore whether the key assumptions (s) were found to be violated. Explain what your subsequent follow up will be.

(6 marks)