Question

In: Statistics and Probability

The highest and lowest birth rates in the United States in 2010 were in Utah and...

The highest and lowest birth rates in the United States in 2010 were in Utah and Maine, respectively. Utah reported 52,258 births with a population of about 2.8 million people. Maine reported 12,970 births with a population of about 1.3 million people. Use this data to answer the following questions.

a) On average, how many people were born each day of the year in Utah?

b) On average, how many people were born each day of the year in Maine?

c) What was the birth rate in Utah in births per 100,000 residents?

d) What was the birth rate in Maine in births per 100,000 residents?

Solutions

Expert Solution

Number of days in 2010 : 365

a)

Number of births reported in Utah in 2010 = 52258

On average, number of people born on each day of the year in Utah

= Number of births reported in Utah in 2010 / Number of days in 2010

= 52258/365=143.1726 143

On average, number of people born on each day of the year in Utah = 143

b)

Number of births reported in Maine in 2010 = 12,970

On average, number of people born on each day of the year in Maine

= Number of births reported in Maine in 2010 / Number of days in 2010

= 12970/365=35.5336

On average, number of people born on each day of the year in Maine = 36

c)

Birth rate in Utah in births per 100,000 residents

Utah population =  2.8 million people ie. 2,800,000

Number of births reported in Utah in 2010 = 52258

Birth rate in Utah in births per 100,000 residents i.e number of births for every 100,000 residents=

Birth rate in Utah in births per 100,000 residents = 1866.357

d)

Birth rate in Maine in births per 100,000 residents

Maine population = 1.3 million people ie. 1,300,000

Number of births reported in Maine in 2010 = 12970

Birth rate in Maine in births per 100,000 residents i.e number of births for every 100,000 residents=

Birth rate in Maine in births per 100,000 residents = 1080.833


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