Asked Oct 31, 2019

Use the standard normal distribution (aka z distribution where mu = 0 and sigma = 1) to determine the values of Z that will give you the middle 95% of the data.

Note that each answer above requires TWO values of Z. 


Expert Answer

Step 1

The middle 95% of the data is,


Image Transcriptionclose

a=1-0.95 0.05 a - 0.025 2

Step 2

Hence, 0.025 in each tail.

Step-by-step procedure to obtain the values of Z that will give you the middle 95% of the data using MINITAB:

  • Choose Graph > Probability Distribution Plot choose View Probability > OK.
  • From Distribution, choose ‘Normal’ distribution.
  • Click the Shaded Area
  • Choose Probability and Middle Tail for the region of the curve to shade.
  • Enter the Probability ...

Image Transcriptionclose

Distribution Plot Normal, Mean=0, StDev-1 095 0.4 0.3 0.2 0.1 00 -1960 0 1960 Density


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: 27. Call me: A sociologist wants to construct a 95% confidence interval for the proportion of childr...

A: It is given that margin of error (E) is 0.02 and the confidence level is 95%.Here,


Q: Given a population where p = 0.10, find the standard deviation of the samping distribution when the ...

A: It is given that p is 0.10.


Q: Using Example 8.3 from the first submitted image, solve the problem for the second submitted image.

A: It is given that margin of error (E) is 0.05 and the confidence level is 95%.Here,


Q: Distributions A and B have the same mean and range. The standard deviations of distribution A and di...

A: Solution:We are given:Distributions A and B have same mean and  range.The standard deviation of dist...


Q: Possion Distribution  The number of calls received by an office on Monday morning between 8:...

A: Here the random variable X, Number of calls between 8.00AM and 9.00 AM follows Poisson distribution ...


Q: Number 21

A: a)As alpha level is given and two-tailed hypothesis test is used then before treatment z-score value...


Q: Assume that random guesses are made for eleven multiple choice questions on a medical admissions​ te...

A: Click to see the answer


Q: #3: Let Z bee normally distributed with mean 0 and variance 1. Let Z1,..., Zn be an i.i.d. random sa...

A: Solution:3.a. The moment generating function of Z2 is obtained below:From the given information, z b...


Q: Four students are randomly selected from an algebra class and asked whether they suffer from math an...

A: Introduction:On random selection, 4 students are selected into the sample.When asked whether they ha...