The average American family of four spends $5,000 per year on food prepared at home. Assuming a normal distribution with a standard deviation of $1,000 and a randomly selected American family of four, we could determine that about 95.5% of the family’s annual spending for food prepared at home

Q: In a multiple-choice examination in Chemistry, students Mae and Julie received scores of 82 and 65,…

A: We have given that.   X~N( μ , ?^2 )   μ = , ? =   Z-score =( x - μ )/?

Q: In a recent year, the scores for the reading portion of a test were normally distributed, with a…

A: Mean is 20.4 and the standard deviation is 6.5.

Q: Given a sample data set with a Standard Deviation of 1.4, what is the Variance of the data set.?…

A: The given value of sample standard deviation is, s = 1.4 Using the standard deviation, the formula…

Q: What proportion of trucks can be expected to travel between 38,000 and 62,000 miles in the year?

A: Normal distribution is also known as the Gaussian distribution . It is widely used to make complex…

Q: Given a normal distribution whose mean is 590 and whose standard deviation is 74, find the…

A:

Q: Given a sample data set with a Variance of 6.25, what is the Standard Deviation of the data set.?

A: Given, Variance=6.25 sd=?

Q: The bank assumes that the credit card usage of people aged 30 and below are less than 10,000 per…

A:

Q: 3. The average age of the marketing executives in an ad agency is 26, with a standard deviation of…

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: According to a survey by Harris Interactive conducted in February 2009 for the charitable agency…

A:

Q: Twenty-five percent of commercial airline accidents are caused by bad weather. If 300 commercial…

A: The mean of the binomial random variable obtained by the formula μ=np, where (n) is the number of…

Q: If the variance of a particular data set is 7.5820, the standard deviation is

A: We know that variance is the average squared distance from the mean value. And the standard…

Q: A trucking company determined that the distance traveled per truck per year is normally distributed,…

A: Here, mean is 60 thousand and standard deviation is 10 thousand. a. The proportion of trucks can be…

Q: The heights of a pediatricians three-year-old females are approximately normally distributed, with…

A:

Q: According to Dietary Goals for the United States (1977), high sodium intake may be related to…

A:

Q: For any normal distribution, about 68 % of the data lie within one standard deviation of the mean.…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: In a random sample of 48 people, the mean body mass index (BMI) was 28.3 and the standard deviation…

A: Given that Random sample size(n) =48 Mean body mass index (x¯)=28.3 Sample standard deviation (s)…

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: Given a distribution with a mean of 90 and a standard deviation of 10, what is the probability of…

A: Given Information: μ=90 σ=10 x1=85 x2=110

Q: Please see attached.

A: (a). It is given that:

Q: The Good-Guys Car Dealership has tracked the number of used cars sold at its downtown dealership.…

A:

Q: The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student…

A: 1000 0.6 600 1000000 600000 1200 0.3 360 1440000 432000 1500 0.1 150 2250000 225000

Q: In a study of the tooth-brushing habits of a large number of dental patients, it was observed that…

A: The following information has been given: The population mean is μ=230. The population standard…

Q: In this dry lab, calculate the average and standard deviation of the following data. Table1 Trial 4…

A: There are total n = 9 trials

Q: For a population of leghorn chickens, the mean number of eggs laid per chicken is 7.3 with standard…

A: Given information: μlegborn=7.3σlegborn=1.7μsussex=5σsussex=0.85 Two independent ransom samples of…

Q: A car dealership looks back at their previous year’s sales records. Last year, the dealership sold…

A:

Q: 3. The number of cars that passes through Sta. Mesa Highway every weekday resembles a normal…

A: Given that mean =8702 ,s.d =678 p( 7000 < x < 8000) =?

Q: With a sample of 62, a population mean of 29, and a standard deviation of 9, what is the standard…

A: Givensample size(n)=62population mean(μ)=29standard deviation(σ)=9

Q: On a normal distribution, four participants obtained the following deviation scores: –5, 0, +3, and…

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

Q: f the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what…

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Q: The quality-control manager at a light bulb factory needs to determine whether the mean life of a…

A:

Q: Calculate the mean and standard deviation of this sample.

A: The provided information is x x2 27 729 30 900 30 900 30 900 31 961 32 1024 33 1089…

Q: if the sample mean is 10, the population standard deviation is 20, and the sample size is 25, then…

A:

Q: compute the range, variance, and standard deviation for the two samples

A: The Data is given as: Atlanta(x) Salt Lake City(y) 340.1 570.1 321.6 354.6 291.6 465.6…

Q: In an intelligence exam to determine the IQ of students, it is found out that the results are…

A: Let X be the IQ score of students which follows normal distribution with mean 100 and standard…

Q: A manufacturer of a liquid soap produces a bottle with an advertised content of 310mL. A sample of…

A: Ans:- Given Data-    297, 322, 318, 307, 306, 311, 315, 303, 296, 291 x x2 297 88209 322…

Q: For a population with a mean of μ = 45 and a standard deviation of σ = 10, what is the standard…

A: Obtain the standard error of the distribution of sample means for sample size n=4 scores. The…

Q: Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a…

A: Given that  Mean=80 , Standard deviation=10 Find  P(X<=65)

Q: examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard…

A: Given data,μ=527σ=112P(X>437)=?

Q: If a normal distribution has a mean of 35 and a standard deviation of 5, then The median is 35 and…

A: We know that normal distribution is symmetricaldistribution .i.e mean=median=mode

Q: Given a non-normal population with a variance of 25 and mean of 13. If the size of a sample is n =…

A: Assume the variable of interest is X.

Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: If the population standard deviation is 20 and the sample size is 25, then what is the value of the…

A:

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for…

A: Solution: Let X be the random variable. From the given information, the distribution is normal with…

Q: The hotel industry has been greatly impacted by the COVID-19 pandemic. Suppose that traditionally…

A:

Q: For a population with a mean of mean=45 and a standard deviation of 10, what is the standard error…

A:

Q: Suppose that, on average, electricians earn approximately µ = $54,000 per year in the United States.…

A: Given information- Population mean, µ = $54,000 Population standard deviation, σ = $12,000 Sample…

Q: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with…

A: Given: Mean μ=68.4 Standard deviation σ=4.0   a) Calculate the probability that the study…

Q: The number of 911 calls in Butte, Montana, has a Poisson distribution with a mean of 10.0 calls a…

A: The Poisson distribution:A discrete random variable X is said to have a Poisson distribution with…

Q: Assuming the sample mean and standard deviation are indicative of the class as a whole, in what…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.