WK 4 Test

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School

American Military University *

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302

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Statistics

Date

Jun 12, 2024

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pdf

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12

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Week 4 Test Your work has been saved and submitted Written May 30, 2024 1:56 PM - May 30, 2024 3:30 PMAttempt 1 of 2 Attempt Score 19/ 20-95% Overall Grade (Highest Attempt) 19 /20-95% Question 1 1 /1 point Find P(Z > -.98). Round answer to 4 decimal places. Answer: ___0.8365___ v W Hide question 1 feedback In Excel, =1- NORM.S.DIST(-.98, TRUE)
Question 2 1 /1 point Arm span is the physical measurement of the length of an individual's arms from fingertip to fingertip. A man's arm span is approximately normally distributed with mean of 68 inches with a standard deviation of 3.7 inches. Find length in inches of the 97th percentile for a man's arm span. Round answer to 2 decimal places. Answer: 74.96 v W Hide question 2 feedback In Excel, =NORM.INV(0.97,68,3.7) Question 3 1 /1 point Find P(Z = .42). Round answer to 4 decimal places. Answer: ___0.3372 __ v W Hide question 3 feedback In Excel, =1-NORM.S.DIST(0.42,TRUE) Question 4 1 /1 point Which type of distribution does the graph illustrate?
() Poisson Distribution v ) Right skewed Distribution O Uniform Distribution () Normal Distribution Question 5 0/ 1 point The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 27.4 mpg and a standard deviation of 12.3 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28? Answer: ___ Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a legitimate entry. Make sure you include the 0 before the decimal. Answer: 0.3949 3 (0.3947) W Hide question 5 feedback This is a sampling distribution problem with y = 27.4. 0 = 12.3, and sample size n = 30.
New SD = 12.3/SQRT(30) = 2.245662 P(x > 28) = 1 - NORM.DIST(28, 27.4, 2.245662, TRUE) Question 6 1 /1 point Suppose that the longevity of a light bulb is exponential with a mean lifetime of 7.6 years. Find the probability that a light bulb lasts between seven and eleven years. ) 0.1325 ) 0.1859 v 0.1629 ) 0.8371 W Hide question 6 feedback P(7<x<11) Px < 11)-P(x<7) In Excel, =EXPON.DIST(11,1/7.6,TRUE)-EXPON.DIST(7,1/7.6,TRUE) Question 7 1 /1 point
The average lifetime of a certain new cell phone is 4.2 years. The manufacturer will replace any cell phone failing within three years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. The decay rate is: v ) 0.238] ) 0.7619 () 0.3333 ) 0.6667 W Hide question 7 feedback 1/4.2 Question 8 1 /1 point The life of an electric component has an exponential distribution with a mean of 7.2 years. What is the probability that a randomly selected one such component has a life less than 4 years? Answer: (round to 4 decimal places) 0.4262 v W Hide question 8 feedback P(x < 4) In Excel, =EXPON.DIST(4,1/7.2,TRUE) Question 9 1 /1 point
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