Find two z-scores that bound the middle 40% of a normal distribution

Q: What is the probability of randomly selecting a z-score greater than z=-0.75 from a normal…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

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: ple mean within the distribution.

A: samples 1st Score 2nd Score Sample Mean A 1 4 2.5 B 4 1 2.5 C 1 10 5.5 D 10 10 10 E 4 4 4…

Q: Find the​ Z-scores that separate the middle 43​% of the distribution from the area in the tails of…

A: Given that the constant 'c' separates the middle 43​% of the distribution from the area in the tails…

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: Find the z scores that separates the middle 28% of the distribution from the area in the tails of…

A: Step 1:Find the z scores that separate the middle 28% of the distribution from the area in the tails…

Q: Label the parts of the two-tailed normal curve below for a large sample and their areas. Assume a 1%…

A: The parts of a two tailed normal curve are labelled in the following diagram-

Q: any normal distribution, a z-score of z = -1 separates the highest 68% of the scores from the rest…

A: Given that  A z-score of z = -1 separates the highest 68% of the scores from the rest of the…

Q: Find the z-score boundaries that separate the middle 70% from the 30% in the tails in a normal…

A: Find the z-score boundaries that separate the middle 70% from the 30% in the tails in a normal…

Q: Explain the Multivariate Normal Distribution?

A:

Q: The manager of a night club in Boston stated that 95% of the customers are between the ages of 22…

A: It is an important part of statistics. It is widely used.

Q: Does the distribution of sample variances tend to be a normal distribution

A: The shape of the sample distribution of sample variance will depend on the shape of the population…

Q: Show the work to find the z-score boundaries that separate a normal distribution as described in the…

A: The z-score boundaries that separate a normal distribution as described in the middle 20% from the…

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: Find the 50th percentile of the standard normal distribution and draw the bell curve?

A: The required answer is below:

Q: Find the​ Z-scores that separate the middle 50​% of the distribution from the area in the tails of…

A: We have to find the Z-scores that separate the middle 50​% of the distribution from the area in the…

Q: Find the​ Z-scores that separate the middle 64​% of the distribution from the area in the tails of…

A: Given information- We have given that middle area of the distribution is 64%. By using the standard…

Q: What z-score marks / cuts off the bottom 20% (approximately) of the standard normal distribution?

A: From the provided information, The z score cuts off the bottom 20% of the standard normal…

Q: Find the​ z-scores that separate the middle 20​% of the distribution from the area in the tails of…

A:

Q: For the standard normal curve, identify the z-score that corresponds to the 20thpercentile.

A: The z-value corresponding to 80% or an area of 0.80 is 0.8416 as per z-table.

Q: What is the probability of randomly selecting a zscore less than z = - 1.25 from a normal…

A:

Q: Find the​ z-scores that separate the middle 95​% of the distribution from the area in the tails of…

A: Sketch the normal curve and the approximate ate area between -z and z under the normal curve.

Q: What are the main characteristics of the normal distribution? Why is it advantageous to use the Z…

A: There are 2 types of probability distribution which are stated as follows:Continuous probability…

Q: Sunscreens are products that protect the skin from skin cancer by preventing the sun's ultraviolet…

A:

Q: A researcher expects a treatment to produce an increase in the population mean. Assuming a normal…

A:

Q: Explain the normal distribution, the Z-score, and the central limit theorem.

A:

Q: About what percentage of a normal distribution falls within 2.5 standard deviations of the mean?

A: 98.76 percentage of a normal distribution falls within 2.5 standard deviations of the mean

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 happens to the graph of the normal curve as the standard deviation​ decreases?

A: What happens to the graph of the normal curve as the standard deviation​ decreases?

Q: Sunscreens are products that protect the skin from skin cancer by preventing the sun's ultraviolet…

A: Here is given that, mean is 0.6 and standard deviation is 0.25. We will use z-standard normal…

Q: f the shaded region of the standard normal distribution that is going to the right is equal to…

A:

Q: For any normal distribution, what is the probablity of selection a score less than the mean?

A: Given, The variable follows normal distribution.

Q: A random sample of 160 commercial customers  revealed that 32  had paid their accounts within a…

A: For normality condition we have : (1) n*p  >10 (2) n*(1-p)  >10 where, n: sample size p :…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.