MAC004 - A Standard Deviation & Exponential Smoothing Method (Alpha=0.5) - Maths Assignment Help

Assignment Task -           

Instruction: Read the questions below carefully. Attempt all questions.

A department store manager determines that a new billing system will be cost-effective only if the mean monthly account is $170. A random sample of 400 monthly accounts is drawn, for which the sample mean is $178. The accounts are approximately normally distributed with a standard deviation of $65.

Can we conclude that the new system will be cost-effective (Alpha= 0.05)?

The number of visitors to a cycle track and the number of drinks sold by a café at the location are recorded in the table below. Calculate the correlation between the number of visitors and drinks sold and interpret this correlation.

3.Alex is a brand manager of a fast-fashion chain in Sydney. He would like to forecast sales of its store in Sydney in the coming week (week 6) based on the sales of the last 5 weeks. Sales of the last 5 weeks are in the forecast next week sales using Exponential Smoothing method (Alpha=0.5). 

4.Last year, five randomly selected students took a math aptitude test before they began their statistics course. The Statistics Department has two questions.

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