Question

Exhibit B: A restaurant has tracked the number of meals served at lunch over the last four weeks. The data shows little in terms of trends, but does display substantial variation by day of the week.

Week

Day 1 2 3 4

Sunday 40 35 39 43

Monday 54 55 51 59

Tuesday 61 60 65 64

Wednesday 72 77 78 69

Thursday 89 80 81 79

Friday 91 90 99 95

Saturday 80 82 81 83


The overall daily average is 69.71.

Using the data, predict the number of meals served on Wednesday of week 5. It is estimated that the total number of meals served would be 490 in week 5.


Select one: a. 519.4 b. 104 c. 70 d. 93.8 e. 74.2

Answer 1

Option E is correct.

The expected number of meals expected to be served on Wednesday in week 5 = 74.2

Explanation:

We will use the data from the four weeks to obtain the fraction of total days that number of meals served at lunch on a Wednesday take and then subsequently check the expected number of meals served at lunch the next Wednesday.

Week

Day 1 2 3 4 | Total

Sunday 40 35 39 43 | 157

Monday 54 55 51 59 | 219

Tuesday 61 60 65 64 | 250

Wednesday 72 77 78 69 | 296

Thursday 89 80 81 79 | 329

Friday 91 90 99 95 | 375

Saturday 80 82 81 83 | 326

Total number of meals served at lunch over the 4 weeks = (157+219+250+296+329+375+326) = 1952

Total number of meals served at lunch on Wednesdays over the 4 weeks = 296

Fraction of total number of meals served at lunch over four weeks that were served on Wednesdays = (296/1952) = 0.1516393443

Total number of meals expected to be served in week 5 = 490

Number of meals expected to be served on Wednesday in week 5 = 0.1516393443 × 490 = 74.3

Checking the options,

74.3 ≈ 74.2

Hence, the expected number of meals expected to be served on Wednesday in week 5 = 74.2

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