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

Q: In a standard normal distribution, the mean is always 0 Does this suggest that half of the scores…

A: In a standard normal distribution, the mean is always 0 and the Standard deviation is always equal…

Q: What proportion of scores are below z score of 1.0 in a normal distribution?

A:

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

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

Q: The bottom 10% of a normal distribution is below what z-score?

A: Our aim is to find the Z-score.

Q: Why is normal distribution important in statistics and in everyday life?

A: Normal Distribution is important in statistics because many natural phenomena follows Normal…

Q: what is a standard normal distribution?

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

Q: 3. Why is a t-distribution generally more variable than a normal distribution?

A: The probability distributions that needs to be applied in the dataset depends on the…

Q: What is the special property of the standard normal distribution?

A: Standard normal distribution: The total area under the density curve is equal to 1.

Q: what is normal distribution? What information does it provide? Why is it important?

A: The normal distribution is used for finding the probability of the continuous variable when the data…

Q: The top 10% of a normal distribution is above what z-score?

A:

Q: When finding the percentage of data in a given section of the normal curve, you are finding the…

A: here use basic of normal distribution

Q: Describe about 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 describes measurements that have a normal distribution?

A: The farther away you move from the average, the fewer individuals will have those more extreme…

Q: What proportion of percentage of the normal distribution lies above z=-1 ?

A: Let Z ~N(0,1). Then, the proportion of the normal distribution lies above z=-1 is P(Z>-1).

Q: Explain the Multivariate Normal Distribution?

A:

Q: What z-score value separates the highest (top) 40% of the exam scores in a normal distribution from…

A: To find The z-score value that separates the highest (top) 40% of the exam scores in a normal…

Q: In a normal distribution, what percentage of the area under the curve is within three standard…

A: We have given the following statement about normal distribution.

Q: What proportion of a normal distribution is located between the mean and z = 1.40?​

A: From the given information, Mean of standard normal distribution is zero and standard deviation is…

Q: how to know if something is a normal distribution or not

A: Introduction:Several tests of normality exist, using which you can verify whether a particular data…

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: On a standard normal distribution, what percentage of scores lie within 1.29 standard deviations on…

A: Given that, Standard normal distribution.

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: What percentage of scores falls in the tails of a normal curve?

A: Empirical rule: According to empirical rule, 99.7% of data lies within three standard deviations of…

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

A:

Q: Find the 69th percentile of the standard normal distribution.

A: Let a be the 69th percentile of Standard normal distribution, then: PZ<a=0.69 Using standard…

Q: what is the importance of knowing the concepts of a normal curve?

A:

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

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

Q: What proportion of scores are above z score of 0 in a normal distribution?

A: From the provided information, The proportion of scores are above z score of 0 in a normal…

Q: What proportion of scores are above z-score of 1.0 in a normal distribution?

A: We want to find P(Z>1)= ?

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: What percentage of the area under the normal curve is within +/-1, +/-2, and +/-3 standard…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: A normal distribution has a mean of µ = 80 with σ = 20. What score separates the highest 40% of the…

A: The given distribution is normal with mean 80 and standard deviation 20.

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: What is the Empirical Rule and how does this rule apply to a normal distribution of data?

A: We have to define the Empirical Rule and how does this rule apply to a normal distribution of data.

Q: What are the differences between Normal Distribution and Standard Normal Distribution? Elaborate

A: The Standard Normal Distribution is a specific instance of the Normal Distribution that has a mean…

Q: What proportion of scores are below z-score of a +1.00 in a normal distribution?

A: Standard normal distribution: The standard normal distribution is a special case of normal…

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: On a normal curve, where do most scores fall?

A:

Q: Explain standard normal distribution?

A: The standard normal distribution has a mean of 0 and the standard deviation of 1.

Q: What happens to the graph of the normal curve as the mean increases?

A: The graph of the normal curve as the mean increases.

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

A: Given : Normal curve (Normal distribution)

Q: Which percentage is the best estimate for the shaded area under this normal curve?

A: From given curve, Mean = -20 And SD = 10 Let X denote the distribution. Given that X follows N(mean…

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: 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: What percentage of area is above the mean on a normal curve?

A: Solved below.