In a normal population where the mean is 900 and the standard deviation is 25; what value of X is the 67th percentile?
solution
Using standard normal table,
P(Z < z) = 67%
= P(Z < z) = 0.67
= P(Z < 0.44) = 0.67
z =0.44 ( Using standard normal z table,)
Using z-score formula
x= z *
+
x= 0.44*25+900
x=911
In a normal population where the mean is 900 and the standard deviation is 25; what...
A sample of 25 observations is selected from a normal population where the population standard deviation is 15, and the sample mean is 90. Calculate the Upper Limit of the 60% confidence interval of the population mean Reminder: You only need to calculate the Upper Limit of the confidence interval.
E A normal population has mean l = 50 and standard deviation 0 = 5. What is the 80th percentile of the population? Use the TI-84 Plus calculator. Round the answer to at least one decimal place. The 80th percentile of the population is
A sample of 25 observations is selected from a normal population where the population standard deviation is 20 and the sample meanis 120 Calculate the Lower Limit of the 70% confidence interval of the population mean Reminders You only need to calculate the Lower Limit of the confidence interval
Assume the random variable X is normally distributed with mean u = 50 and standard deviation o=7. Find the 67th percentile. The 67th percentile is (Round to two decimal places as needed.)
A normal population has mean = 9 and standard deviation -5. (a) What proportion of the population is less than 19? (b) What is the probability that a randomly chosen value will be greater than 4? Round the answers to four decimal places. Part 1 of 2 The proportion of the population less than 19 is Part 2 of 2 The probability that a randomly chosen value will be greater than 4 is : A normal population has mean =...
A sample of size 25 will be drawn from a population with mean 129 and standard deviation 25 (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be less than 116. (c) If appropriate find the 90 percentile of x. (a) Is it appropriate to use the normal distribution to find probabilities for x? Yes No (b) The probability that will be less than 116 is...
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...
A random variable X is normally distributed with mean 100 and standard deviation 7. What is the 67th percentile of the distribution of X? (PLEASE Use the empirical rule.) (a) 103.08 (b) 121.56 (c) .44 (d) 13.08 (e) 51.00
Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability a value selected at random
from this distribution is greater than 25? (Round your answer to
two decimal places.)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.)
μ = 14.9; σ = 3.5
P(10 ≤ x ≤ 26) =
Need Help? Read It
Assume that x has a...
3, and a sample mean Given a known standard deviation of 0.5, normal population, n=25, Ho: x=3, HO: of 4.18: what is a two sided 95% confidence interval on [3.922, 4.438) 13.984, 4.316) (3.984, 4.3761 O none of the above