A final exam in Science 150  has a mean of 80 with a standard deviation of 8. If 25 students are randomly selected, find the probability that the mean of their test score is greater than 80

Q: An aptitude test that is normally distributed has a mean of 1100 and a standard deviation of 100.…

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Q: What is the probability that your score on an exam will be less than 65, if the mean on the exam is…

A: Let X be a continuous random variable of score on the exam is normally​ distributed with a mean of…

Q: The average age of accountants is 53 years, with a standard deviation of 5 years. If an accounting…

A: We have to find probability..

Q: Kimberly and Alexis began arguing about who did better on their tests, but they couldn't decide who…

A: Given data,For mathμ=76.8σ=9.9Kimberly score is X=76.4For Socialμ=62.6σ=9Alexis score is X=63.2

Q: The university campus has a record of temperatures in recent years, which have a mean of 25.5…

A: To test whether the data follows normal distribution or not, let us consider Chi-square test for…

Q: Corey and Noah began arguing about who did better on their tests, but they couldn't decide who did…

A: Note: Hi there! Thank you for posting the question. Here to avoid the plagiarism issue we have used…

Q: Jose and Josh began arguing about who did better on their tests, but they couldn't decide who did…

A: Solution: Given information:   Mean  Standard Deviation  English Class 73.9 9.4 Art History…

Q: at on one section of the SAT the mean is 500 and the standard deviation is 100, what is the…

A: From the given information, Consider, X be the random variable that shows the scores of a students…

Q: If the mean of a list of numbers is 16.7 and the standard deviation is 0,

A: Mean is a measure of central tendency. It is one of the most important measures to find out around…

Q: Emily and Hillary began arguing about who did better on their tests, but they couldn't decide who…

A: Note: Hi there! Thank you for posting the question. To avoid the Plagiarism issue we have used the…

Q: A researcher showed the mean of weights of college football players to be 200 pounds with a standard…

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Q: The U.S. Bureau of Labor statistics reports that the average annual expenditure on food and drink…

A: Given Information: Mean μ=$5700 Standard deviation σ=$1500 To find the percentage of families who…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: GivenMean(μ)=8.4standard deviation(σ)=1.8sample size(n)=38

Q: Nate and Brendan began arguing about who did better on their tests, but they couldn't decide who did…

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Q: The weights of college football players are normally distributed with a mean of 200 pounds and a…

A: Z = x¯ - μσn~N(0,1)

Q: The mean score and the standard deviation in the Statistics test are respectively equal to 80 and…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: The amount of pyridoxine in grams per multiple vitamin pill has a mean of 180 and a standard…

A: Given,mean(μ)=180standard deviation(σ)=24sample size(n)=64

Q: Cristina and Diana began arguing about who did better on their tests, but they couldn't decide who…

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Q: Suppose a probability and statistics class took an exam that had a mean of 60 and a standard…

A: Given, E(X)=60 SD(X)=12   After 10 Point curve Let Y be new variable.

Q: Natalie and Stephanie began arguing about who did better on their tests, but they couldn't decide…

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Q: A final exam in science 160 has a mean of 73 with a standard deviation of 7.8. If 25 students are…

A: Given information- Population mean, µ = 73 Population standard deviation, σ = 7.8 Sample size, n =…

Q: a standard deviation of 9.8, and all the students' test grades in Social Studies had a mean of 63.4…

A: Given : a) For Lauren Test value =x= 75 population mean=μ = 76.4 population standard…

Q: The grades for the latest statistics exam are normally distributed. The mean was 93 with a standard…

A: According to question given that Mean (μ)=93Standard deviation (σ)=4As we know that relation between…

Q: In two statistics classes, section M and section N, the mean score of students in Section M is 49…

A: According to the provided information, The mean and standard deviation of section M is  μ = 49σ =…

Q: The average age of accountants is 43 years, with a standard deviation of 5 years. If an accounting…

A: From the given information,   Mean = 43 Standard deviation = 5 Sample size = 30

Q: Assume that women's weights are normally distributed with a mean given by mean=143 lb and a standard…

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Q: Erik and Juan began arguing about who did better on their tests, but they couldn't decide who did…

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Q: Taylor and Meredith began arguing about who did better on their tests, but they couldn't decide who…

A: A z-score is the standard score that determines how much the data point deviates from the population…

Q: The standard deviation of the scores on a skill evaluation test is 290 points with a mean of 1286…

A: We have to find given Probability.

Q: In engineering and product design, it is important to consider the weights of people so that…

A: Given Information: Mean,  μ=177 Standard deviation, σ=32 Sample Size, n=50 To find out the…

Q: a) Calculate the z-score for Lucas's test grade. z=z= b) Calculate the z-score for Alex's test…

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Q: Suppose that people height (in centimeters) are normally distributed, with a mean of 170 and a…

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Q: The mean is μ =137 and the standard deviation is σ = 5.3, Find the probability that X is between…

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Q: A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation of…

A: Given that,  μ=1986,σ=94 The probability that a 120-watt fluorescent light will have a brightness…

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean…

A: Mean = 180 Standard deviation = 44 Sample size = 25

Q: The time it takes to fly from Paris to London is normally distributed. If the mean flight time is 80…

A: The independent variable is the time it takes to fly from Paris to London. It is given that, the…

Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

Q: Stacy and Danielle began arguing about who did better on their tests, but they couldn't decide who…

A: Obtain the z-score for Stacy's test grade. The z-score for Stacy's test grade is obtained below:…

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: The A.C Nielsen company reports that about 85.5% of U.S households have a color T.V. Find the mean…

A: The mean number of households have a color T.V is, μ=np=6×0.855=5.13 Thus, the mean mean number of…

Q: According to the US energy administration, the mean monthly household electric bill in the united…

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Q: Florida State University, the mean IQ is 116 with a standard deviation of 14. Given this…

A: In the School of Medicine at Florida State University, the mean IQ is 116 with a standard deviation…

Q: In ABC High School, the mean IQ test score of the first year students is 102 and the standard…

A: For the given data  What is the z-score of a student whose IQ test score is 106?

Q: The average credit card debt for college seniors is$3262. If the debit is normally distributed with…

A: The distribution of credit card debt is given as, X~N(µ=3262, σ=1100).

Q: The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing…

A: The weight of the small dogs is the continuous data. Let X be the weights of the small dogs which…

Q: Suppose the main percentage in algebra is 70% and the standard deviation is 8% What percentage of…

A: Given,  mean value(μ) =70%  standard deviation(σ) = 8%Z=x-μσZ1=62-708=-1Z2=94-708 =3

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.