Question

In: Statistics and Probability

6. The following data shows the number of new born babies on each day of the...


6. The following data shows the number of new born babies on each day of the week.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
# of baby
123
116
92
92
104
96
77
Is the proportion of new born babies on the each day of week same or different? Explain your answer.

Solutions

Expert Solution

Given data is as follows

Day # of baby
Monday 123
Tuesday 116
Wednesday 92
Thursday 92
Friday 104
Saturday 96
Sunday 77

The proportion of new born babies on each day are obtained by dividing number of new born babies on a particular day by the total number of new babie on all days

Here the total number of babies on all days = 123 + 116 + 92 + 92 + 104 + 96 + 77

= 700

Proportion of new born babies on Monday = 123 / 700

= 0.175714

Proportion of new born babies on Tuesday = 116 / 700

= 0.165714

Proportion of new born babies on Wendesday = 92 / 700

= 0.131429

Proportion of new born babies on Thursday = 92 / 700

= 0.131429

Proportion of new born babies on Friday = 104 / 700

= 0.148571

Proportion of new born babies on Saturday = 96 / 700

   = 0.137143

Proportion of new born babies on Sunday = 77 / 700

= 0.11

The proportions along with the number of new born babies are represented in the table below

Day # of baby Proportion
Monday 123 0.175714
Tuesday 116 0.165714
Wednesday 92 0.131429
Thursday 92 0.131429
Friday 104 0.148571
Saturday 96 0.137143
Sunday 77 0.11

As clearly visible from the above table, the porportions of new born babies on each day of the week are different

Only on Wednesady and Thursday, the proportions of new born babies are same


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