What are the values of the mean and standard deviation of a standard normal distribution.  what is the value of the standard score for the mean of a distribution.

Q: How to know if a histogram is a normal distribution

A: In general, the graph of the normal distribution is bell-shaped and symmetric. Here, bell shape of…

Q: As the standard deviation of a normal distribution increases, the height of the normal curve

A: Standard deviation is the measure of the amount of dispersion of a set of values.  A low standard…

Q: Find the 38th percentile of the standard normal distribution.

A: Finding the 38th percentiles of the standard normal distribution In standard normal distribution…

Q: ) In a normal distribution, what is the z- score of an observation that is at the 39th percentile?

A: We have to find z score..

Q: what is a standard normal distribution?

A: Since you have posted a multiple question, we will solve first question for you.

Q: If the mean is zero and the standard deviation is one in a normal distribution, what type of normal…

A: We know that if the normal distribution has 2 parameters as mean, μ and standard deviation, σ, where…

Q: What is the value of the standard score for the mean of a distribution

A: The standard score is the same as the Z-value. This is the distance of any data value, measured in…

Q: What is the mean of the distribution? What is the standard deviation of the distribution?

A: Given Mean1=30 Mean2=27 n1=41 n2=57

Q: What would a skewness of .163 mean? Is this normal distribution?

A: Solution:  Skewness: Skewness can be defined as the lack of symmetry in the data set.  In other…

Q: Approximately what percentage of normally distributed data values will fall within 2 standard…

A: It is known that, normal curve is a symmetric and bell shaped distribution.

Q: What are the Properties of the Normal Curve?

A: A normal curve is identified using the values of the mean and standard deviation to show the…

Q: What is the standard deviation of the data?

A: We want to calculate standard deviation

Q: What proportion of a normal distribution is located above the mean?

A: z-score: z-score is a standardized score which tells about how many standard deviations does a data…

Q: What is the difference between standard deviation and mean?

A: Standard deviation: The standard deviation is based on how much each observation deviates from a…

Q: On a standard normal distribution, what percentage of scores lie within 2.89 standard deviations on…

A: We need to find the scores that lie within 2.89 standard deviations.

Q: With a standard normal distribution, +/-1 standard deviation from the mean include what percent of…

A: According to the provided information, with a standard normal distribution, ±1 standard deviation…

Q: Find the mean deviation about mean of rectangular distribution,

A:

Q: State the difference between the shape of the t distribution and the normal distribution?

A: Normal distribution is symmetric about mean and bell-shaped.

Q: Using the simplified version of the normal distribution, what percentage of the cases falls within 2…

A: It is given, A normal distribution with 2 standard deviation.

Q: If a set of observations is normally distributed, what percent of these differ from the mean by (a)…

A:

Q: Chebyshev's Theorem states that the percentage of measurements in a data set that fall within three…

A: The Chebyshev's theorem provides bounds on the probability for distributions for which mean and…

Q: Explain an important difference between the standard deviation and the mean.

A:

Q: For a normal distribution, the mean is equal to the median. True False

A: The Normal distribution is Symmetric distribution. So,  Mean = Median = Mode.

Q: What are the characteristics of a normal distribution? What two characteristics make a distribution…

A: Given that  What are the characteristics of a normal distribution?   What two characteristics make a…

Q: What proportion of a normal distribution is located between the mean and z = -0.47?

A:

Q: For a normal distribution, what z-score value separates the lowest 20% of the distribution from the…

A: The z-score value separates the lowest 20% of the distribution from the highest 80% is, PZ<z=0.20…

Q: What is the skewness measure (b₁) of a normal distribution?

A:

Q: What is the mean of the standard normal distribution?

A: We have to find given correct answer for Normal distribution..

Q: makes a distribution a normal distribution?

A: Properties of normal distribution  a) The mean , median and mode of a distribution is same it is…

Q: The mean of the standard normal distribution is?

A: suppose, x follows the N(0, 1), mean (mu) = 0, variance = 1 the mean of the standard normal…

Q: Why does the mean accurately summarize a normal distribution? why does the mean inaccurately…

A: To summarize a normal distribution, the distribution is spread evenly on both sides of the curve. In…

Q: State how the difference between the shape of the t distribution and normal distribution is affected…

A: There is a property of t-distribution which indicates that with the increase in the degrees of…

Q: Calculate The mean and standard deviation

A: Given Information :  On the midnight shift, the number of patients with head trauma in an emergency…

Q: Identify if its true or false The mean, median and mode of normal distribution are NOT necessarily…

A: The normal distribution curve is bell-shaped and is symmetrical about the line x = μ. The mode of…

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

A: Given that  X~Normal(μ= 590 , σ= 74 )  μ= 590 , σ= 74 , n = 24

Q: In a normal distribution, what z-score value separates the highest 90% of the scores from the rest…

A: Z  score : A z-score describes the position of a raw score in terms of its distance from the mean,…

Q: Give an example of a distribution that might be  non-normal.

A: Any skewed distribution would be the example of non-normal distribution, for example chi-square, or…

Q: What do you mean by a normal curve (normal distribution) ?

A: Given : Normal curve (Normal distribution)

Q: What are the characteristics of a normal distribution?

A: Normal distribution- It is a frequency distribution curve. It is also called bell shaped curve. In…

Q: What is the mean of the standard normal distribution

A: Standard Normal Distribution is a symmetric continuous distribution that has two parameters which…

Q: The mean, median, and mode of a normal distribution are (Choose one) each other. standardized by…

A: For Normal distribution, mean, median and mode are coincide.

Q: A vending machine is designed to dispense a mean of 7.3 oz of coffee into an 8-oz cup. If the…

A: Follow step 2nd.

Q: On a standard normal distribution, what percentage of scores lie within 2.25 standard deviations on…

A: Area property of normal distribution: Area lie between μ-σ, μ+σ = 68.25% Area lie between μ-2σ, μ+2σ…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 600 and a…

A:

Q: In a normal distribution, a data value located 0.7 standard deviations below the mean has standard…

A:

Q: What is the axis of symmetry of the graph of the standard normal distribution?   Is it the vertical…

A: A standard normal distribution has two parameters: mean and standard deviation. Let X be a random…

Q: Explain the Empirical rule and its relationship to the normal distribution 1.

A: Solution-: Explain the empirical rule and its relationship to the normal distribution.

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!