The revenue of a  shop is approximately normally distributed with a mean of $4500 and a standard deviation of $800. Find the revenue, y, for which 33% of revenue are below it.

Q: Find the Mean, Variance, and Standard Deviation (round off to two decimal places)

A: Given: No. of students, n=50 Scores of students 78 95 91 78 91 83 80 99 93 91…

Q: For the given speed information in the table below, find the standard deviation and the ?85th…

A: Speed Frequency x d=x-49.9 f.d f.d2 36-39.9 3 37.9 -12 -36 432 40-43.9 7 41.9 -8 -56 448…

Q: A standard I.Q. test produces normally distributec 13 with a mean of 104 and a standard deviation of…

A:

Q: The annual income of residents in a county is $42,000 with a standard deviation of $10,000.  Under…

A: From the given information, the distribution of annual incomes is normally distributed with mean…

Q: In the first quarter of 2019, the average home loan for first time buyers was R950, 000. Assuming a…

A: Here, µ = 950,000 and σ = 70,000.

Q: Find the​ z-score for the value 55​, when the mean is 79 and the standard deviation is 5.

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: find the z-score for the value 95, when the mean is 77 and the standard deviation is 2.

A: Given, mean=77 standard deviation=2 find the z-score for the value 95

Q: Find the mean, mode and standard deviation of the distribution.

A: Given: f(x)=1x2πe-12logx2      for x>0       =0  for  x<0

Q: The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean…

A: We have given that.   X~N( μ , ?^2 )   μ =120 , ? =12   Z-score =( x - μ )/?

Q: On a standardized exam, the scores are normally distributed with a mean of 300 and a standard…

A:

Q: A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50…

A: As per empirical rule approximately 68-95-99.74% data fall within 1-2and3sd of mean.

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: Let, X= resistance Given that X follows a normal distribution with mean=50 and standard deviation=4…

Q: A normal distribution has a mean of 82 and a standard deviation of 3. Find the z-score for a data…

A: If x=82 z=?

Q: The standard deviation of a variable is 15. If a sample of 100 individuals is selected, what size is…

A:

Q: The data set has size 50. Approximately how many observations lie within one standard deviation to…

A:

Q: The distribution of heights of American women aged 18 to 24 is approximately normally distributed…

A: Given The distribution of heights of American women aged 18 to 24 is approximately normally…

Q: The prices of all college textbooks follow a bell- shaped distribution with a mean of $100 and a…

A:

Q: ) Approximate the mean and standard deviation for temperature.

A: (a) The mean for temperatures is, Temperature Days(f) Midpoint(x) fx 50 - 59 4 54.5 218 60 -…

Q: For a t distribution with 15 degrees of freedom, 90% of the distribution is within how many standard…

A:

Q: The height of adult men in the United States is normally distributed with a mean of 70 inches and a…

A: Z = -0.67 Mu = 70 S = 3

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: We have, the population mean, μ=100                the standard deviation, σ=15 Let X=IQ score

Q: n the first quarter of 2019, the average home loan for first time buyers was R950, 000. Assuming a…

A: Given : In the first quarter of 2019, the average home loan for first time buyers was R950, 000…

Q: The amount of daily sales of a candy shop in weekdays is approximately normally distributed with a…

A: Let us denote: X=the amount of daily sales of a candy shop in weekdays Given that X follows a normal…

Q: Based on the graph of this normal distribution. a) The mean is _____ .  b) The standard deviation…

A:

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

Q: The mean length of a human pregnancy is 267 days, with a standard deviation of 12 days. Use the…

A: Given data,Mean μ=267sd σ=12P(243<X<291)=?

Q: A distribution of values is normal with a mean of 220.2 and a standard deviation of Find P16, which…

A: Let P16 = c So, P(X<c)=0.16  we have to find c.

Q: Find the range and standard deviation for the data items in the histogram below. 5 4 Frequency

A: From the histogram, The frequency table is, Data Frequency 10-20 2 20-30 5 30-40 5 40-50…

Q: If the weights of newborn babies are normally distributed with a mean of 2950 grams and a standard…

A: Given, X~Nμ,σ  where μ=2950 grams    and σ=340 gramsfind P(x<2610)=?

Q: The birth weights for twins are normally distributed with a mean of 2353 grams and a standard…

A: The formula to calculate the z score : For part (A), z score is, For part (B), z score is,

Q: Hello, how do you calculate this? Thank You!

A: Compute the 90% confidence interval for the population mean.Since the sample size is small and the…

Q: The amount of time Mr. Smith spends exercising each day is approximately normally distributed with a…

A:

Q: the number of cookies in a shipment of bags are normally distributed with a mean of 64 and a…

A: Given that.   X~N( μ , ?^2 )   μ=64     , ?=4   Z-score =( x - μ )/?

Q: Given IQ scores are approximately normally distributed with a mean of 100 and  standard deviation of…

A: GivenMean(μ)=100standard deviation(σ)=15

Q: The scores of the students are normally distributed with a mean of 85 and a standard deviation of 4.…

A:

Q: The fastballs follow a Normal distribution with mean μ = 92 mph and a standard deviation of σ = 2…

A:

Q: 4. The average waist size for teenage males is 29 inches with the standard deviation of 2 inches.…

A:

Q: A quantitative data set has mean 19 and standard deviation 2. Approximately what percentage of the…

A: Given that, A quantitative data set with, Mean = 19 Standard deviation = 2

Q: The birth weights for twins are normally distributed with a mean of 2353 grams and a standard…

A: Given that, Mean = 2353Standard deviation = 647

Q: .Use the data to lation mean and andard deviation

A: x (x-xbar)^2 92 22.09 103 39.69 99 5.29 108 127.69 86 114.49 94 7.29 90 44.89 102…

Q: Assuming you obtained a random sample of blood glucose levels from 32 individuals from a population…

A: It is given that the mean is 120 and the standard deviation is 15.

Q: a) For the following calculate mean deviation using median. Height No. of Boys 55 56 57 58 59 60 25…

A: Given Height No of boys 55 25 56 40 57 50 58 20 59 10 60 5

Q: The hourly pay of a sample of nurses is approximately normal with a mean of $36.25 and a standard…

A:

Q: The weights of an adult female population of killer whales are approximately normally distributed…

A: Let, X1: The weights of an adult female population of killer whales & X1~Normal( 18000, 4000 )…

Q: A test was given to 120 students, and the scores 8 approximated a normal distribution. If the mean…

A:

Q: A farm hatches chicken eggs in batches of 15 and there is a 3% infertile rate. Find the standard…

A: Obtain the standard deviation for the number of infertile eggs per batch.   The standard deviation…

Q: The monthly income from a particular occupation is normally distributed, with a mean of 5000 dollars…

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 standard deviation of a variable is 15. If a sample of 100 individuals is selected, what size…

A: The standard error of mean is, SE = σ/√n, where σ is the standard deviation and n is the sample…

Q: The selling price of a new car is normally distributed with an average of $19110 and a standard…

A: Let X denotes a selling price of a new car. Here, X follows normal distribution with mean value of…

Q: me mean is 225 and the standard deviation is 28 for a normally distributed variable, what is the x…

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

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.