Answered: Let x have a normal distribution with a…

Let x have a normal distribution with a mean of 30 and a standard deviation of 7. The z value for x = 34 is: O d. 3.86 O b. -0.57 O e. 0.08 O c. 0.57 O a. 0.13

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Find the z-score corresponding to a score of X= 40 and the X value corresponding to z = 0.25 for…

A: The z follows normal distribution where z is:

Q: The variance: A. none of the above B. all of the above C. is never negative D. is the square of the…

A: Objective of this question is that, which option is the correct choice.

Q: Find the z-score corresponding to a score of X-45 for each of the following distributions. a. u=40,…

Q: X follows a normal distribution with mean 45 and standard deviation 6. The z-variate corresponding…

A: Answer : The value of the X-variate is : (c) 54.

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Mean = 14.6 Standard deviation = 3.7

Q: A data distribution is given as X ~ U(0, 12). Group of answer choices What is a?…

A: given dataX~U(0,12)

Q: The value of the standard deviation o of a normal distribution is always O a. Equal to zero b.…

A: Basics: We know that , standard normal distribution with mean of 0 and standard deviation of 1. i.e…

Q: If we want to transform the normal distribution to standard normal distribution, then it is…

A: If we want to transform the normal distribution to standard normal distribution, then it is…

Q: A Cl estimate is designed for the gain in the circuit on a device. Assume that gain is a normal…

Q: A fire department in a rural county reports that it's response time to fires is approximately…

A: According our policy we can answer only first question for remaining please repost the question.

Q: Let x have a normal distribution with a mean of 91.2 and a standard deviation of 4.92. The z value…

A: Given that Mean = 91.2 , Standard deviation = 4.92 X-score = 73.98

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given information: It was stated to assume that Z scores are normally distributed. Mean =0 and…

Q: Let Z be the standard normal variable.Find z if z satisfies the given value. P(Z < z)= 0.9826

A: P(Z < z)= 0.9826Φ(z)= 0.9826z=Φ-1( 0.9826)z=2.111 (using the inverse normal distribution)

Q: X has normal distribution with mean D a. 0.0228 O b. 0.4772 O c. -0.33 O d. 0.9772

Q: 2 3 4 7 P(X = x) 0.5 0.2 0.2 0.1 Find the standard deviation for the above distribution. O a) 4 O b)…

A: 2 0.5 1 4 2 3 0.2 0.6 9 1.8 4 0.2 0.8 16 3.2 7 0.1 0.7 49 4.9

Q: Create a 95% CI on the mean difference between the following before & after scores of systolic blood…

A: We have the data of before and after scores of systolic blood pressure of six subjects after doses…

Q: A sample has a mean of M = 90 and a standard deviation of s = 20. b. Find the X value for each of…

A: The z-score for a particular value, X = x, is: z = (x –mean)/standard deviation = (x-M)/S

Q: If x is normally distributed with a mean of 6 and a standard deviation of 4, find P(x>8) a. 0.1915…

A: If x is normally distributed with a mean of 6 and a stnadard deviation of 4, find Px>8 Answer: b.…

Q: Let x have a normal distribution with a mean of -30.2 and a standard deviation of 10.67. The z value…

Q: Given Z(-)- 78 and N= 80, then the population standard deviation, a, is approximately O al 0.975 Ob)…

Q: a normal distribution with mean u = 58 and standard deviation o = 4.2 %3D

A: Given that A graph of normal distribution with Mean (μ) = 58 Standard deviation (σ)= 4.2 We know…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Sketch the normal curve and shade the area of 0.1606 to the left of "e" under the normal curve.…

Q: . For a distribution mean is 10, standard deviation is 4, B. =1 and B, = 4. Obtain the first four…

A: There are two types of moments, they are central and raw moments. Moments are used to measure the…

Q: Let Z be the standard normal variable with μ = 36 and σ = 4.2. Find the value of P(X 30). Round…

A: Note:It is given that Z is the standard normal variable with mean 36 and standard deviation 4.2.…

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given,P(z<e)=0.0516

Q: Find the z-score corresponding to a score of X = 30 for each of the following for each of the…

A: The z-score corresponding to a score of X=x is z = (x – μ) / σ.Here,x=30. a.)…

Q: 8. Find the z-score corresponding to a score of X = 45 for each of the following distributions. a. p…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The graph of a normal curve is given on the right. Use the graph to identify the values of μ and o.…

A: According to the given information, we have The normal curve is given. Distribution is normal.

Q: Given that Z is a standard normal variable, the value z for which P(Z ≤ z) = 0.2580 is: Select one:…

Q: Let Z be the standard normal variable. Find the values of z if z satisfies the following: P(Z < -z)…

A: From the provided information,Let Z be the standard normal variable.P(Z < -z) = 0.8365

Q: Let Z be the standard normal variable with μ = 36 and σ = 3.4. Find the value of P(X 39). Round…

A: It is not meaningful to calculate any probability which is greater than 39 for a standard normal…

Q: Suppose that the average life of a refrigerator before replacement is μ = 15 years with a (68% of…

A: Given that The average life of a refrigerator before replacement is μ = 15 years 68% data range…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given,P(-b<Z<b)=0.1904

Q: If X is normal with mean 9 and variance o? where P(X >7.5) = 0.7734 Then standard deviation of X is

A: The mean of the data is 9. The probability of event is more than 7.5 is 0.7734

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Mean = 107 Standard deviation = 14

Q: If X has normal distribution with mean 80 and standard deviation 15. Find the P(X > 90) a. 0.7734 O…

Q: Given X follows a normal distribution with u=100 and o =10 , what is the pr obability that X125 ?…

Q: For some positive value z, the probability that a standard normal variable is between -1 and z is…

A: is the standard normal variable that is .

Q: If z is a standard normal variable, find P (z > 0.97). 0.1922 0.1660 0.8340 0.1685

A: Given z is a standard normal variable.We need to find the value of P(z > 0.97).We use standard…

Q: For the values 2, 4, 6 the standard deviation is O 1.36

A: Given: The values are: 2, 4, 6 To find: Standard Deviation = ?

Question

Let x have a normal distribution with a mean of 30 and a standard deviation of 7. The z value for x
= 34 is:
O d. 3.86
O b. -0.57
e. 0.08
O c. 0.57
O a. 0.13

Expert Solution

Step 1: Determine the formula of the Z-score

The formula of the Z-score is,

Where,

X denotes the raw data point,

µ denotes the population mean,

σ denotes the population standard deviation.

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let x be a continuous random variable that is normally distributed with a mean of 22 and a standard deviation of 5. Find to 4 decimal places the probability that x assumes a value a. between 26 and 34. Probability = i b. between 18 and 31. Probability i
Which of the following is not true about normal distribution O a. Area under the curve equals 1 O b. The curve is symmetrical about the mean OC.The curve is asymptotic to the x axis O d. The curve is U shaped
Let X follow the normal distribution with μ = 100 and σ = 10. Then P(X < 120) is closest to: a. 0.023 b. 0.046 c. 0.430 d. 0.853 e. 0.977
24 X shows a normal distribution with a mean of µ=50 and a standard deviation of σ=10. What standard z value does the value x=55 convert to? a) 1.0 B) 0 NS) 1.5 D) 2.0 TO) 0.5
Assume x is normally distributed with a mean of 2 and a standard deviation of 2. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)
A normal distribution has μ = 32 and σ = 5. Find the z score corresponding to x = 27. Find the z score corresponding to x = 46. Find the raw score corresponding to z = −3. Find the raw score corresponding to z = 1.1.
Let Z be the standard normal variable. Find z if P(-z < Z < z) = 0.8788. (Give your answer to two decimal places.)
If Z has standard normal distribution with mean 0 and standard deviation 1. Find P( Z > 1.96 ) a. 0.0250 O b. -0.5310 O c. 0.9332 O d. 0.4322
If Z is a standard normal variate, find the value of c for the following (i) P(0 c) = 0.85
Let x has a normal distribution with a mean of 50 and a standard deviation of 8. The z value for x = 64 is:
Given Z = X-μ/σ, what is the mean and standard deviation value, respectively of a standard normal distribution? A. 1, 0 B. 0, 1 C. 2, 0 D. 1, 2
E and f