A normal distribution has mean LaTeX: \mu=14μ = 14 and standard deviation LaTeX: \sigma=3σ = 3. Find and interpret the z-score for LaTeX: x=11x = 11.
Solution :
Given ,
mean = = 14
standard deviation = = 3
x=11
using z-score formula
z =X -/
z=11-14/3
z= -1
A normal distribution has mean LaTeX: \mu=14μ = 14 and standard deviation LaTeX: \sigma=3σ = 3....
1. Giving a normal distribution with mean mu=35 and standard deviation sigma = 10 where the probability that x is less than x0 is p0 = 0.95 what is the value for x0. 2.Giving a normal distribution with mean mu=35 and standard deviation sigma =10 where the probability that x is greater than x0 is 0.10. 3. Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability that x0<x<x1 = 0.9. What is the...
= X- 4) A normal distribution has mean u = 65 and a population standard deviation o= 20. Find and interpret the z - Score for x = 64. u a) The z - score for x = 64 is 64-65 b) Interpret these results. (Explain): 5) A sample size 28 will be drawn from a population with mean 120 and standard deviation 21. a) Is it appropriate to use the normal distribution to find probabilities for x? yes or...
Given a normal distribution, X, with mean, 110, and standard deviation, sigma = 46. A. What is the X value with Z-score equal to z = 0.65? B. What is the probability of X is less than or equal to 146.9? %
Given a normal distribution, X, with mean, 110, and standard deviation, sigma = 46. A. What is the X value with Z-score equal to z = 0.65? B. What is the probability of X is less than or equal to 146.9? %
Given a normal distribution, X, with mean, 150, and standard deviation, sigma = 42. A. What is the X value with Z-score equal to z = 2.77? B. What is the probability of X is less than or equal to 266.3? %
Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a normal observation with a fixed mean (mu) and standard deviation (sigma) is less than x. There is also a function for computing the inverse operation: the function NORM INV(p, mu, sigma) putes a value x such that the probability that a normal observation is less than x is com equal to P. A) Compute the probability that an observation from a N(3, 5) population...
A population has a mean mu= 72 and a standard deviation sigma= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36.
1) a normal distribution has a mean of 84 and standard deviation of 6 . find the z score corresponding to an x value of 76 2) a normal distribution has a mean of 55 and standard deviation of 2.7 . find the z score corresponding to an x value of 62
Assume that IQ's follow a Normal distribution with a mean mu=100 and standard deviation sigma=16. What is the probability that no more than 5 people in a random sample of size n=9 have IQ's between 90 and 110?
Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the following. a) P (z>0.5) b) P(z 1.5) c) P (-0.49 < z1.5) Question 4: If you have a normal distribution with mean 14 and standard deviation of 2. What is P(x >16)? Question 5 Professor Hardy assumes the exam scores are normally distributed and wants to grade "on a curve." The mean score was 68, with a standard deviation of 9, If he wants...