A large normally distributed data set has a mean of 10 and a standard deviation of 1.5. Approximately 95.4% of the data values will fall between and 50% of the the data values will fall above

Q: Assume the average (mean) number of minutes a group of people meditate is 20 minute per day and has…

A: Solution: Let X :  A group of people mediate.  Assumed X be the normal distribution with mean 20…

Q: If a population has a standard deviation σ of 36 units, what is the standard error of the mean if…

A: The population standard deviation is 36.

Q: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

Q: College Professors have incomes with a standard deviation that is more than $21,000. A recent study…

A:

Q: If a sample has a mean of 100 and a standard deviation of 6, what is the value in the data set that…

A:

Q: If a sample has a mean of 150 and a standard deviation of 9, what is the value in the data set that…

A: Given,mean(μ)=150standard deviation(σ)=9Z-score=1.58

Q: In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what…

A:

Q: In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what…

A: According to the given information, we know that The distribution is normal. Mean = 22 Standard…

Q: Suppose you found that the average sea- faring bird can fly 8,000 km without stopping. The wandering…

A:

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: Suppose the scores of students on an exam are normally distributed with a mean of 458 and a standard…

A: A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of…

Q: If there is a small amount of variation, then the standard deviation is what

A: Standard deviation: It is defined as the positive square root of the variance. It fulfils requisites…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: From the given Information, Let X represent the length of pregnancies in a small rural village and…

Q: If a one-person household spends an average of $62 per week on groceries, find the maximum and…

A: GivenMean(μ)=62standard deviation(σ)=10

Q: Compute for the median, and standard deviation of the given data

A:

Q: Which of the below data sets has the lowest standard deviation? You do not need to calculate the…

A: The standard deviation is used to calculate the variability of the data set. It tells us that how to…

Q: For a population with a standard deviation of 20, what is the zscore corresponding to a score that…

A: The population standard deviation is 20. The z-score corresponding to a score that is 5 points below…

Q: If a data set has a mean of 80 and a standard deviation of 10, calculate + 1.5 standard deviations

A: Here, the data set has a mean of 80 and a standard deviation of 10.

Q: Suppose a random sample of 25 measurements was taken from a population with a mean of 74 and a…

A: We know that,  Sample size (n) = 25 and population mean (μ) = 74 and population standard deviation…

Q: Given that the variance for a data set 1.20, what is the standard deviation?

A: The standard deviation is calculated by taking the square root of variance. Variance is given as…

Q: For a population with a standard deviation of σ = 5, what is the z-score corresponding to a score…

A: We have to find z score..

Q: Approximately how many policemen have waist girth less than 37.25 inches

A: The waist of 2,500 policemen is normally distributed with a mean of 35 inches and a standard…

Q: A set of data items is normally distributed with a mean of 60. Convert the data item to a z -score,…

A: Solution: z-score for given data item is 1.

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…

A: Given: μ=62 minutesσ=18 minutes

Q: If the average salary of a computer programmer is $71, 800 with a standard deviation of 13, 000,…

A: I am attaching image so that you understand each and every step.

Q: Suppose that the variance of a hypothetical population is 49. What is the standard deviation?

A: Solution : Given : σ2 = 49 The variance of the population is denoted by σ2 and standard deviation is…

Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: From the provided information, Population standard deviation (σ) = 18 Sample size (n) = 36

Q: If the weekly grocery expenditure of households in a certain urban market is known to be normally…

A:

Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Let X be the random variable from normal distribution with mean (μ) = 103 cm and standard deviation…

Q: Suppose the distribution of typing speeds in words per minute for experienced typists can be…

A:

Q: If the weights of ostriches are normally distributed with a mean of 240 pounds and standard…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 240 and…

Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: A population has a standard deviation of 18.

Q: A set of data items is normally distributed with a mean of 40 and a standard deviation of 8. Convert…

A: Given:  Random variable x follow normal distribution with mean mu=40 ,sd=8  Then z score:…

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: The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume…

A:

Q: For a recent 10k​ run, the finishers are normally distributed with mean of 56 minutes and a standard…

A: Given data,μ=56σ=13P(45<X<70)=?

Q: in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and…

A: Let the random variable X be the life of tires.  The random variable X follows Normal distribution…

Q: If corn has a normally distributed yield with a mean of 120 bushels per acre and a standard…

A: Given that,  E(X) =120 bushels pet acre Sigma=10 bushels We have to find the percentage of acres…

Q: iven a normally distributed data set whose mean is 25 standard deviation is 5, what values of x…

A: We have to find out answer of given question....

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 71…

A:

Q: The shape of the distribution of the time required to get an oil change at a 15-minute oil-change…

A: a) Central Limit Theorem for mean: If a random sample of size n is taken from a population having…

Q: Find the mean and standard deviation of the original set of data.

A:

Q: A normally distributed data set has a mean of O and a standard deviation of 2. What is the percent…

A:

Q: Find the median and the standard deviation of the scaled marks of all the students.

A: According to the answering guidelines,  we can answer only one question and the rest can be…

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150…

A: Consider the provided data, Number of children = 300 mean, μ=150standard deviation, σ=12 We need to…

Q: a data set has a mean of 210 and a standard deviation of 40, what is the z- Score for a ralue of140…

A: We have given that  Mean =mu=210 , standard deviation(sigma)=40 and x=140 X~N(mu,sigma^2)…

Q: sample of 25 cappuccinos shows a mean of 42.1 oz of espresso and a standard deviation of 0.38 oz. A…

A: Given: Sample size, n = 25 Sample mean,  = 42.1 Standard deviation, s = 0.38

Q: If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is…

A: The mean is 100 and the standard deviation is 15.