Math Problem Statement
John Beale of Stanford, California, recorded the speeds of cars driving past his house, where the speed limit read 35 mph. The mean of 100 representative readings was 38.61 mph, with a standard deviation of 3.48 mph.
Questions:
a) How many standard deviations from the mean would a car going the speed limit be?
b) Which would be more unusual, a car traveling 49 mph or one going 25 mph?
c) The standard deviations for the boxes in part B are?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Standard Deviation
Z-score
Normal Distribution
Formulas
Z = (X - μ) / σ
Theorems
Empirical Rule (68-95-99.7 rule)
Suitable Grade Level
Grade 10-12
Related Recommendation
Statistics Question on Z-score for Speed Measurements and Unusual Observations
Calculating 95% Confidence Interval for Car Speeds in a Normal Distribution
Normal Distribution: Vehicles Exceeding 69 mph in a Highway Study
Probability of Vehicle Speed on I-85 Between 53 and 77 mph
Empirical Rule: Estimating Percent of Vehicles Between 55 mph and 75 mph