Week 4 Knowledge Check HW - Attempt 2

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Jan 9, 2024

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Week 4 Knowledge Check Homework Practice Questions - Results X Attempt 2 of 4 Written Dec 3, 2023 12:19 AM - Dec 3, 2023 1:23 AM Attempt Score 10/ 20-50% Overall Grade (Highest Attempt) 16 /20-80 % Question 1 0/ 1 point Find P(Z > -1.24). Round answer to 4 decimal places. Answer: 0.1074 % (0.8925,.8925) w Hide question 1 feedback In Excel, =1-NORM.S.DIST(-1.24, TRUE) Question 2 1/ 1 point Find P(Z < -1.57). Round answer to 4 decimal places. Answer: 0.0582 v

¥ Hide question 2 feedback In Excel, =NORM.S.DIST(-1.57,TRUE) Question 3 1/ 1 point Find the area under the standard normal distribution to the left of z = -1.05. Round answer to 4 decimal places. Answer: 0.1469 v w Hide question 3 feedback In Excel, =NORM.S.DIST(-1.05,TRUE) Question 4 0/ 1 point Which type of distribution does the graph illustrate?

2 | 0.0 0.2 04 06 038 1.0 Sample Mean = > Normal Distribution > Poisson Distribution % ( > Uniform Distribution > Right skewed 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 24.6 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 287 Answer: ___ Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a legitimate entry. Make sure you include the O before the decimal. Answer: 0.1635 3 (0.0250)

w Hide question 5 feedback This is a sampling distribution problem with pu = 24.6. o = 9.5, and sample size n = 30. New SD = 9.5/SQRT(30) = 1.734454765 P(x > 28) = 1 - NORM.DIST(28, 24.6,1.734454765 , TRUE) Question 6 1/ 1 point The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. What is the median lifetime of these phones (in years)? ) 5.5452 ) 1.3863 ©0.1941 v 20794 w Hide question 6 feedback Median Lifetime is the 50th percentile. Use .50 in the equation and the rate of decay is 1/3

Question 7 0/ 1 point Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. Find the probability that a light bulb lasts between six and ten years. 01175 = () 0.1859 ) 9.6318 x 0.3034 ) 0.3682 w Hide question 7 feedback P(6 < x < 10) P(x < 10) - P( x < 6) In Excel, =EXPON.DIST(10,1/8,TRUE)-EXPON.DIST(6,1/8,TRUE)

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