Return to Blackboard LUS Mann, Introductory Statistics, 9e Help I RCES Chapter 0

Question

Return to Blackboard LUS Mann, Introductory Statistics, 9e Help I RCES Chapter 03, Section 3.5, Problem 069b The following data give the speeds of 13 cars (in mph) measured by radar, travelling on 1-84 73 75 69 68 78 70 74 76 72 79 68 77 71 on on Calculate the value of the 35th percentile. Enter the exact answer mph exact number, no tolerance ction ProblemBy accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your Question Attempts: O of 0

Explanation / Answer

Mean = 73.08

Standard deviation = 3.626

1) P(X < x) = 0.35

Or, P((X - mean)/(SD/sqrt(n)) < (x - 73.08)/(3.626/sqrt(13)) = 0.35

Or, P(Z < (x - 73.08)/(3.626/sqrt(13)) = 0.35

Or, (x - 73.08)/(3.626/sqrt(13)) = -0.39

Or, x =-0.39 * (3.626/sqrt (13)) + 73.08

Or, x = 72.69

2) P(X < 73) = P((x - mean)/(SD/sqrt(n) < (73 - mean)/(SD/sqrt(n)

= P(Z < (73 - 73.08)/(3.626/sqrt(13))

= P(Z < -0.08)

= 0.4681

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