Employees at XYZ company work at an average of 55 hours per week with the standard deviation of 9 hours. Promotions are more likely for those employees in the upper 10% of the time they spend working. How long must an employee work to increase his chances of promotion?

Q: A generator manufacturer found that the smallest, least expensive generator that they manufacture…

A: Given X is normal Distributed with mean µ = 2000.0 and standard deviation σ = 150.0

Q: A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that…

A: Solution-: Given:  In this problem, which type of quantity does the 4 ounces refer to?

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a…

A:

Q: Books in the library are found to have average length of 350 pages with standard deviation of 100…

A: Given: μ=350σ=100x=80

Q: In another company, every worker received a 5% raise. How does this affect the mean salary? The…

A: Every worker received a 5%. The mean defines that the center or average of the data and it is…

Q: A livestock company reports that the mean weight of a group of young steers is 1154 pounds with a…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The life of a battery is normally distributed with mean 70 hours with a standard deviation of 10…

A: Given, μ = 70 σ = 10 Z = X-μσ

Q: A sample of 3000 persons were surveyed for their weight in pounds, the mean weight is 135 lbs with a…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The length of a fully grown hibiscus plant is normally distributed and has a mean of 35cm. It is…

A:

Q: Data collected by the highway patrol indicates that the average speed on a stretch of interstate is…

A:

Q: rcentage of fake followers was 13.3 with a standard deviation of 2.

A: Given, sample size (n) =53sample mean (x̄) = 13.3sample standard deviation (s1) = 9.8 Confidence…

Q: In an agricultural study, the average amount of corn yield is normally distributed with a mean of…

A: Given :- In an agricultural study, the average amount of corn yield is normally distributed with a…

Q: The time taken to boil a kettle is normally  distributed with a mean of 94 seconds and  a standard…

A: The provided information is  µ=94 σ=6 P(-a<X<a)=0.40…

Q: If on an average 8 ships out of 10 arrive safely at a port, find the mean and standard deviation of…

A:

Q: Suppose you are told that a computer programmer in Portugal who makes $809.40 has a z-score of -0.50…

A: Solution: It is given that a computer programmer in Portugal who makes $809.40 has a z-score of…

Q: Female black bears are called sows and weigh on average 175 pounds the average height of a female…

A: Let X denote the height of a female black bear in inches.  We are given μx=69.0 & σx=2.8…

Q: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

A: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

Q: In 2019, the amount of money that motorists spent on gas had a normal distribution with a mean of…

A: Given Information Number of persons sampled (n) = 2400 Mean (µ) = 900 Standard deviation(σ) = 100…

Q: The weights of bags of baby carrots are normally​ distributed, with a mean of 31 ounces and a…

A: Solution: Let X be the weights of bags of baby carrots. From the given information, X follows normal…

Q: the length of a certain species of fish were found to be normally distributed. the mean length is 72…

A: Any assumption about the parameter or probability function is called a hypothesis. Given data are…

Q: The mean life of a battery is 55 hours with a standard deviation of 6 hours. The manufacturer…

A:

Q: The weights of bags of baby carrots are normally distributed, with a mean of 31 ounces and a…

A: From the standard Normal Table, the value z for upper 4.5% is 1.70.

Q: The temperature recorded at 60 airports in a region had a mean of 67 degrees Fahrenheit and a…

A:

Q: A manufacturer claims that the mean lifetime of its lithium batteries is 1400 hours. A homeowner…

A: Given, Claim: A manufacturer claims that the mean lifetime pf its lithium batteries is 1400 hours.…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 103 and a standard…

A: It is given that the IQ scores follow normal distribution with mean 103 and standard deviation 15.…

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that   x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: A livestock company reports that the mean weight of a group of young steers is 1150 pounds with a…

A: μ=1150σ=87  =P1050<x<1250

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: The score on a test have a mean of 100 and standard deviation of 15. If a personnel manager wishes…

A: From the given information we find the cut off score.

Q: The weights of bags of baby carrots are normally​ distributed, with a mean of 28 ounces and a…

A: Given: Mean weights of bags μ=28 Standard deviation of weights of bags σ=0.37 Upper 4.5% are too…

Q: The mean life of a battery is 50 hours with a standard deviation of 6 hours. The manufacturer…

A:

Q: In a recent survey, 80% of the community favored building a police substation in their neighborhood.…

A:

Q: How many of the people surveyed will have a weight between 130 and 140lbs?

A: Here the mean weight is 135 lbs with a standard deviation of 5 lbs.   Use normal distribution for…

Q: The average rainfall in a certain area is 24.5 inches per year, with a standard deviation of 3…

A:

Q: For a medical study, a researcher wishes to select people in thr middle 75% of the population based…

A: Introduction: Definition: Z-score A Z-score is a numerical measurement that describes a value's…

Q: Christian earned a score of 80 on Exam A that had a mean of 200 and a standard deviation of 40. He…

A: Here we need to compute the marks Christian must obtain in exam B such that it's equivalent to exam…

Q: A newspaper article reported that people spend a mean of 6.5 hours per day watching TV, with a…

A: Given data ,μ=6.5σ=2.0Pz>z=10 %

Q: A maths class has 100 members. If there is a 15% absentee rate per class meeting , find the standard…

A:

Q: A manufacturer of calculator batrries claims that the mean length of life for its battry is 500…

A:

Q: A livestock company reports that the mean weight of a group of young steers is 1180 pounds with a…

A: GivenMean(μ)=1180standard deviation(σ)=90

Q: Books in the library are found to have an average length of 350 pages with a standard deviation of…

A: Given that, Books in the library are found to have an average length of 350 pages with a standard…

Q: The average raintall, recorded to the nearest hundredth of a centimeter, in New York City, for the…

A: (1) Let X be the random variable from normal distribution with mean (μ) = 9.22 and standard…

Q: A cardiologist wishes to determine which of the two drugs A or B is more effective in lowering…

A: As Prof. N. G. Das defined, "Null Hypothesis: A hypothesis which is tested for plausible rejection…

Q: A history class has 75 members.  If there is a 12% absentee rate per class meeting , find the…

A: Given data  P(absent) = p = 0.12  So q= 1-p = 0.88 Sample size (n)= 75 X = no.  of student absent We…

Q: The average speed of cars on 495 is 74 mph with a standard deviation of 6. What is the probability…

A: GivenMean(μ)=74standard deviation(σ)=6

Q: An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a…

A:

Q: The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket.…

A: It is given that cost of domestic affairs follows normal distribution with mean $385 and standard…

Q: two stores at sm downtown are selling batteries for cell phones. store A claims an average battery…

A: The objective is to find out which battery is more likely to last all day.

Q: A researcher claims that 20 years old women on a special diet will have an average weight of 110…

A: Given : 20-year old women :  average weight =110 pound Sample of 15 women : average weight =112.5…