Question

As a small restaurant owner, you are very interested in understanding the demand of your different...

As a small restaurant owner, you are very interested in understanding the demand of your different products. You have been collecting data over the past 11 weeks on the number of fish platter sales that you make each day.

You want to run a simulation and you believe that 60% of your fish platter sales for a given week show up on the weekends (evenly split between Friday, Saturday and Sunday) while the remaining 40% are evenly divided across the four other weekdays (Monday, Tuesday, Wednesday and Thursday).

Your recorded data over the past 11 weeks is below. Use the average demand for each day (Monday to Sunday) to test your assumption about the daily distribution of fish platter sales.

Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Fish Platter Sales
10
17
16
10
15
14
9
19
18
16
10
13
18
15
10
19
14
17
18
18
18
10
12
10
16
13
18
12
11
10
18
18
10
14
18
16
9
13
10
10
10
13
19
17
18
10
18
16
19
13
18
19
15
12
11
9
12
11
9
17
16
12
14
15
11
9
13
11
18
14
9
13
10
10
11
15
9

What is the P-Value of your Chi-Squared test?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
observed expected O - E (O - E)² / E
Monday 13.09090909 9.618 3.473 1.254
Tuesday 14.09090909 9.618 4.473 2.080
Wednesday 13.81818182 9.618 4.200 1.834
Thursday 13.27272727 9.618 3.655 1.389
Friday 13.36363636 19.236 -5.873 1.793
Saturday 14.90909091 19.236 -4.327 0.973
Sunday 13.63636364 19.236 -5.600 1.630
96.18181818 96.182 0.000 10.953
10.95 chi-square
6 df
.0898 p-value

The p-value is 0.0898.

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