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

104

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

orchestra answered 2 years ago

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