Question

Identify the sample and sample statistic - For 186 randomly selected babies, the average (mean) of their births weights is 3,103 grams (based on data from “Cognitive Outcomes of Preschool Children with Prenatal Cocaine Exposure.” By Singer et al., Journal of the American Association, Vol. 291, No 20).

A) Sample-preschool children, statistic birth weights

B) Sample-186 babies, statistic 3,103 grams

C) Sample 186 babies, statistic Cocaine Exposure

What are the absolute and relative errors? – The bakery menu claims that there are 12 doughnuts in a bag, but the baker always puts 13 doughnuts (the true value) in each bag.

A) Absolute 1 donut, relative 7.7%

B) Absolute -1 donut, relative -7.7%

C) No answer text provided.

What are the absolute and relative errors? –The official distance for a marathon is 26 miles 385 yards or 26.21875 miles, but the organizers of a marathon map a course that is actually 26.34567 in length.

A)Absolute 26.21875 miles, relative .12692 miles

B) Absolute .12692 miles , Relative 0.5%

C) Absolute 26.34567 miles, Relative 12.6%

Answer 1

1).the correct option be:-

B) Sample-186 babies, statistic 3,103 grams

[ interpretation:-

a sample refers to a set of observations which are drawn from a population. here, the sample 186 babies are selected.

Population parameters are values that are  calculated using all the values in the population. These values are generally not available, so we use sample statistics. A sample statistic is a value that is calculated from the values in a sample.so,3103 grams is the sample statistic as the average (mean) of their births weights is 3,103 grams]

NECESSARY FORMULA FOR SUM 2 AND 3:-

absolute error =

relative error =

2).the correct option be:-

A) Absolute 1 donut, relative 7.7%

[ interpretation:-

here, approximated(claimed) value = 12

exact(true) value = 13

so absolute error =

relative error = % ]

3).the correct option be:-

B) Absolute .12692 miles , Relative 0.5%

[ interpretation:-

here, approximated(claimed) value = 26.31875

exact(true) value = 26.34567

so absolute error =

relative error = % ]

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valuemeasured - valueeraet

absoluteer ror 100 actualvalue

12 131

100 7.7 13

26.31875 26.34567= 0.12692

0.12692 0.4817 0.5 100 26.34567