5 and 6 5. (10 points) SPSS was used to summarize the miles per gallon for 11 ca

Question

5 and 6

5. (10 points) SPSS was used to summarize the miles per gallon for 11 cars: Statistics mpg Missing Mean Median Std. Deviation Variance Minimum Maximum Percensles 25 27.7273 26.0000 9.98089 99.618 17.00 52.00 19.0000 26.0000 32.0000 50 75 Use the output to determine if a car with 50 miles per gallon is an outlier 6. (8 points) The National Vital Statistics database reports all births in 2011 by the re- ported birth order of the child. Here is how the documented births break down: first child 40.2%, second child 31.6%, third child 16.5%, and fourth child and over 11.7%. What is the probability that a randomly selected baby born in 2011 wasn't a woman's first child?

Explanation / Answer

5) Here, the first quartile i.e. 25 percentile,Q1 = 19

The second quartile i.e. 50 percentile,Q2 = 26

The third quartile i.e 75 percentile,Q3 = 32

Thus, interquartile range, IR = Q3 - Q1 = 13

Now, values lying outside the range (Q1 - 1.5*IR , Q3 + 1.5*IR) = ( - 0.5, 51.5) will be outliers.

Thus, the car with 50 miles per gallon is not an outlier.

6) Required probability = 1 - P(first child)

= 1 - 0.402 = 0.598

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