The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.54 minutes and a standard deviation of 1.91. Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase. Is this outcome unusual?**Homework Help:**- [4VA. Calculating normal probabilities](#) (2:18)- [4DF. Probabilities from Normal Distributions](#) (DOCX)**Options:**1. Probability is 0.97, which is unusual as it is greater than 5%2. Probability is 0.97, which is usual as it is greater than 5%3. Probability is 0.03, which is usual as it is not less than 5%4. Probability is 0.03, which is unusual as it is less than 5%

It is given thatMean, μ = 8.54Standard deviation, σ = 1.91Z-Score, Z = ( X - μ )/σwhere, Z be the…

Answered: distributed with a mean of 8.54 minutes…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of adults found that 65% have used a multivitamin in the past 12 months. You randomly select 50 adults and ask them if they have used a multivitamin in the past 12 months.
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Q2: A CCTV system is used to monitor accidents on a construction site. The accidents are normally distributed with a mean of 12 and a standard deviation of 4. What is the probability that a site picked at random is meeting (a) More than 9 accidents.(b)Less than 5 accidents? What are the assumptions of the Normal Distribution?
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Prob-6 When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons/day and a standard deviation of 42 tons/day. During an analysis of period, the output is measured with random sampling on 60 consecutive days, and the mean output is found to be x=875 tons/day. The manager claims that at least 95% probability that the plant is operating properly. Is he right? Justify your answer! Sol:
Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 400adults and ask them to name their favorite sport. Complete parts (a) through (d). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 38.
his question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Excavation Site Material Site A Site B Row Total Basalt 756 559 1315 Obsidian 92 103 195 Pedernal chert 514 521 1035 Other 88 91 179 Column Total 1450 1274 2724 (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
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