A data set of home sales prices in an area has an average selling price of $350,000 with a standard deviation of $25,000. Is selling price of $390,000 unusual? O No Yes

Q: The income distribution of officers of a certain company was found to follow normal distribution.…

A:

Q: On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the…

A: Given data ,Mean u=300S.D σ=20

Q: The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. I…

A:

Q: The mean is u: = and the standard deviation is o: =

A: Given,

Q: If the age distribution of customers at a major retail chain is thought to be bell-shaped with a…

A:

Q: For 5 year old children, the mean weight is 51.01 pounds with a standard deviation of 3.98 pounds.…

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 height of an adult male is known to be normally distributed with of mean of 69 inches and a…

A:

Q: The trunk diameter, in centimeters,  of a certain variety of pine tree is represented by X~N(150,…

A: Let X denote the trunk diameter in centimetres of a certain variety of pine tree and it follows…

Q: The reading speed of second grade students in a large city is approximately​ normal, with a mean of…

A:

Q: For Problem 19.33 , determine the probability (assuming normal distribution) that a bottle would be…

A: The frequency distribution table is given below: The formula to find mean for any sample is,…

Q: For Problem 19.39 , determine the probability (assuming normal distribution) that a tire could be…

A: Here, x f fx x-x (x-x)2 f(x-x)2 30000 15 450000 -12661.9 160322951.9 2404844278 35000 20…

Q: Calculate the sample standard deviation of the data shown. Round to two 17 22 25 15 19 13 24 sample…

A:

Q: In a departamental examination in  statistics given to 500 students, the mean score was 75 with a…

A: Given: μ=75σ=8N=500

Q: The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17.…

A: GivenMean(μ)=120standard deviation(σ)=17

Q: Given that the mean of a set of data is 40 and the standard deviation is 2, what is the coefficient…

A: Given,standard deviation(σ)=2mean(μ)=40

Q: Exposure to dust at work can lead to lung disease later in life. One study measured the workplace…

A: Given, Exposure to dust at work can lead to lung disease later in life. One study measured the…

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: If a product has a mean demand of 80 with a standard deviation of 10, if the customer holds 100…

A:

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

A:

Q: s the standard deviation of the following data set?  State your result as a decimal value with two…

A: The table that shows the necessary calculation is depicted as: x x−¯x (x−¯x)2 1 -2.5 6.25…

Q: Given the data 18, 23, 26, 29, find the standard deviation to two decimal places answer rounded to…

A:

Q: A college professor noted that the grades of his students in an introductory statistics class were…

A: Given,mean(μ)=28.50standard deviation(σ)=9

Q: The price-earnings (PE) ratios of a sample of stocks have a mean value of 10.75 and a standard…

A: Empirical Relationship: The empirical rule states that if a distribution is unimodal and symmetric…

Q: Find the Median of the data set Compute the Standard deviation. (i)

A: To find the median we have to arrange the data set first.  That is: 15   17   18   19   20   31   33…

Q: What is the standard deviation of the following set of scores: 1, 1, 1, 1, 1 (A) -1 B0 D

A: Given scores is x=1,1,1,1,1sample size(n)=5

Q: A soft-drink dispenser can be adjusted to deliver any fixed number of ounces of soft-drink. If the…

A:

Q: The heights of students at a college are normally distributed with a mean of 175 cm and a standard…

A:

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: Given Data: Let X represent the total point distribution   Mean=530 Standard deviation=80   X~…

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: In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6,…

A:

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 following data list ages of cars (in years) and monthly repair cost. What is the standard…

A: The regression analysis is conducted using EXCEL. The software procedure is given below: Enter the…

Q: A coffee shops tracks sales and has observed the distribution in the following table. What is the…

A:

Q: On a measure of artistic ability, the men for college students in new zealand is 150 and tthe…

A: Given mean = 150Standard deviation = 25The Z score is calculated using the below mentioned formula…

Q: For this grouped data set: Scores      |      Frequencies 30-34        |      7 25-29        |…

A:

Q: If a data value has a z-score of 3.00 and the mean of the distribution is 100 with a standard…

A: 1) Given data, z=3 μ=100 σ=15 X=?

Q: The standard deviation of the given data is A. 1.4495 B. 1.4597 C. 2.1011 D. 2.1307

A:

Q: The distribution of the annual incomes of a group of middle management employees approximated a…

A: In question, The distribution of annual income of middle management employees approximated normal…

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the…

A: Let X be the random variable from normal distribution with mean (μ) = 0 and standard deviation (σ) =…

Q: The time spent by a teacher at work during spring holidays is normally distributed with a mean of 20…

A: Given that.   X~N( μ , ?^2 )   μ=20     , ?=5   Z-score =( x - μ )/?

Q: Given that the mean of a data set is 20, and the standard deviation of this data se is 8, then what…

A: Given data,μ=20σ=8x=40z=?

Q: Which of the following are measures on positions of a data seta the maximum the standard deviation…

A: Solution : Measures on positions of a data sets - Positional measures are also referred as measures…

Q: If data set A has a larger standard deviation than data set B, data set A is more spread out than…

A:

Q: Suppose the heights of the members of a population follow a normal distribution. If the mean height…

A:

Q: Given forecast errors of -5, 8, 8, and -3, what is the mean absolute deviation? O 2 O 4 6

A: The mean absolute deviation is obtained below: The given forecast error is -5, 8, 8 and -3. Let  E…

Q: If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, what percent of the…

A:

Q: Which of the following data would be most appropriate to report standard deviation ? scores of an…

A: Standard deviation- Standard deviation is a measure of dispersion. It is a quantity that expresses…

Q: Given this data determine a) the mean customer rating and b) the standard deviation for the customer…

A: We have to calculate the mean and SD for the given frequency distribution of customer ratings.

Q: Which symbol is used for standard deviation of the population? O b. a O c.o o d.o?

A: We have given that,  Which symbol used for standard deviation of the population?  We have to check…

Q: Find the mean, standard deviation, and relative standard deviation for the set of measurements (7,…

A: Mean: The mean value is calculated as follows: The sum of the observations is divided by the number…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!