n-SearchQhttps://learn.zybooks.com/zybook/MAT-240-J5704-OL-TRAD-UG.23EW5/chapter/4/section/2?content_resource_id=5... Aibrary> MAT 240: Applied Statistics home > 4.2: Normal distribution11BXQINSign outType here to searchZPARTICIPATION 4.2.2: Empirical rule.ACTIVITYIn 2015, the College Board SAT mathematics score of high school seniors, which follow an approximately normal distribution, hada mean of 511 and a standard deviation of 120²1) What percentage of seniors who took the test in 2015 scoredbetween 271 and 751?2) What percentage of seniors who took the test in 2015 scored above631?2O approximately 50%O approximately 68%O approximately 95%O approximately 16%O approximately 68%O approximately 84%3) What percentage of seniors who took the test in 2015 scoredbetween 271 and 511?4) Should a score of 770 be considered unusual?O YesO NoO approximately 68%O approximately 16%O approximately 47.5%W3+A S DEE4X CF4$RF1.F595%VTGF66BYH&7CorrectNApproximately 95% of seniors scored within twostandard deviations of the mean, namely between5112(120) 271 and 511 + 2(120) = 751.12%UF8*88F91MEarnings upcoming(9?EzyBooks catalogF10O<*-)0F11PJE+F12PrtSc[+?

Empirical rule says : 68% data lie within 1 standard deviation 95% data lie within 2 standard…

Answered: In 2015, the College Board SAT…

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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Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviation 5 (information in the article "Mathematical Model of Chloride Concentration in Human Blood,"J Of Med. Engr. and Tech., 2006: 25-30, including a normal probability plot as described in Section 4.6, supports this assumption). a. What is the probability that chloride concentration equals 105? Is less than 105? Is at most 105? b. What is the probability that chloride concentration differs from the mean by more than 1standard deviation? Does this probability depend on the values of µ and a? c. How would you characterize the most extreme .1% of chloride concentration values?
Suppose that blood chloride concentration (mmol/L) hasa normal distribution with mean 104 and standard deviation5 (information in the article “Mathematical Modelof Chloride Concentration in Human Blood,” J. ofMed. Engr. and Tech., 2006: 25–30, including a normal probability plot as described in Section 4.6, supports thisassumption).a. What is the probability that chloride concentrationequals 105? Is less than 105? Is at most 105?b. What is the probability that chloride concentrationdiffers from the mean by more than 1 standarddeviation? Does this probability depend on thevalues of m and s?c. How would you characterize the most extreme .1%of chloride concentration values?
A large manufacturing plant has analyzed the amount of time required to produce an electrical part and determined that the times follow a normal distribution with mean time μ=45μ=45 hours. The production manager has developed a new procedure for producing the part. He believes that the new procedure will decrease the population mean amount of time required to produce the part. After training a group of production line workers, a random sample of 55 parts will be selected and the average amount of time required to produce the parts will be determined. If the switch is made to the new procedure, the cost to implement the new procedure will be more than offset by the savings in manpower required to produce the parts. Use the hypotheses: H0:μ≥45,H0:μ<45H0:μ≥45,H0:μ<45 Determine the p-value of the test statistic if the sample mean amount of time is x¯=43.118x¯=43.118 hours with the sample standard deviation s=5.5s=5.5 hours. (If necessary, round your answers to four decimal places)
A study of able-bodied female students at the University of Illinois found that their times for the mile run were approximately normal with mean 7.11 minutes and standard deviation 0.74 minutes. (a) Choose a student at random from this group and call her time for the mile X. What is the probability her mile run time was no more than 6 minutes? Sketch a graph of this situation and shade the appropriate region. (b) What is the probability that exactly 2 out of 5 randomly selected females in the study will run the mile in less than 6 minutes?
assume that woman have diastolic blood pressure measures that are normally distributed with a mean of 70.2 mm hg and stardad deviation of 11.2 mm hg. if 16 woman are randomly selected, find the probability that the mean of their diastolic blood pressures levels is less than 75 mm hg
A large manufacturing plant has analyzed the amount of time required to produce an electrical part and determined that the times follow a normal distribution with mean time μ=45 hours. The production manager has developed a new procedure for producing the part. He believes that the new procedure will decrease the population mean amount of time required to produce the part. After training a group of production line workers, a random sample of 55 parts will be selected and the average amount of time required to produce the parts will be determined. If the switch is made to the new procedure, the cost to implement the new procedure will be more than offset by the savings in manpower required to produce the parts. Use the hypotheses: H0:μ≥45,H0:μ<45 Determine the p-value of the test statistic if the sample mean amount of time is x¯=43.118 hours with the sample standard deviation s=5.5hours. (If necessary, round your answers to four decimal places)
2.) The number of daily visitors to an ice cream parlor is Poisson with a mean of 25. Using normal approximation, find the probability that at least 80 people visit the ice cream parlor in a three-day period. (Hint: The number of people who visit in a three-day period will also be Poisson. What are the mean and variance of that distribution?)
The braking distances of a Honda CRV can be approximated by a normal distribution, where the mean is 53 meters and the standard deviation is 3.8 meters. Let x be a random variable that represents a braking distance. Find the probability that a randomly selected braking distance is less than 49 meters.
A study found that the mean migration distance of the blue crab in a Chesapeake Bay area was 14.1 km with a standard deviation of 1.6 km. Assuming that the fistances are normally distributed, find the probability that a randomly selected blue crab migrates a distance of between 10 and 15 km. Draw a graph
A health and safety consultant working in a large department store finds that the wait time for a lift on the second floor of the building can be modelled with a continuous uniform distribution ranging from 2 to 6 minutes. The lift takes 30 seconds to move from one floor to the next. Calculate the probability that a person can reach the ground floor in less than 3.25 minutes after pushing the button to request the lift on the second floor.
The score in the final statistics exam is distributed as a normal random variable with mean of 72 and standard deviation of 7 points. Determine: If a sample of 10 students is taken, deteremine the probability that the mean sample score is greater than 75 is: (use 4 decimal places)
The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm and a standard deviation of 0.02 cm. If a component is chosen at random what is the probability that the length of this component is between 4.98 and 5.02 cm

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