pan's finishing time for the Bolder Boulder 10K race was 1.67 standard deviations faster than the women's average for her age grom here were 415 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan? (Round own your answer to the nearest whole number.) lumber of women

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Find the number of women.

Joan's finishing time for the Bolder Boulder 10K race was 1.67 standard deviations faster than the women's average for her age group.
There were 415 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan? (Round
down your answer to the nearest whole number.)
Number of women
Transcribed Image Text:Joan's finishing time for the Bolder Boulder 10K race was 1.67 standard deviations faster than the women's average for her age group. There were 415 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan? (Round down your answer to the nearest whole number.) Number of women
Expert Solution
Step 1

Z - score = X- μσ~N(0,1)

______________________________

Z- score says how many standard dev it is from the mean.

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