Assume that a normal distribution of data has a mean of 16 and a standard deviation of 3. Use the empirical rule to find the percentage of values that lie above 22. What percentage of values lie above 22?

Assume that a normal distribution of data has a mean of 16 and a standard deviation of 3. Use the empirical rule to find the percentage of values that lie above 22. What percentage of values lie above 22?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: The average birth weight of elephants is 220 pounds. Assume that the distribution of birth weights…

A: Solution-: Given: μ=220,σ=50 We want to find the birth weight of elephants at the 90th percentile.

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

Q: tribution of lifetimes of fluorescent lightbulbs. Calculate the shaded area under the curve. Express…

A: Given: Population mean time μ=5.6 Population standard deviation σ=1.50000 Let X ~ N(5.6, 1.50)

Q: A data set is normally distributed with a mean of 67 and a standard deviation of 12. What percent of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

Q: Assume that the number of pieces per bag has a mean of 264 with a standard deviation of 3. use the…

A: Given : the number of pieces per bag has a mean of , μ=264 a standard deviation of , σ =3 We…

Q: Assume that the number of pieces per bag has a mean of 72 with a standard deviation of 1.use the…

A: We have to find given probability by using emperical rule...

Q: According to data for a population, 3-year-old boys have a mean height of 38 inches and a standard…

A: given data normal distributionμ = 38 inchesσ = 2 inchesfor x = 42 inchespercentile = ?

Q: a population is described by: X~unif (2,14). What percentage of the values are within one standard…

A: We want to find the percentage of the values are within one standard deviation of the mean.

Q: Use the normal distribution of heights of adult women, which has a mean of 168 centimeters and a…

A: Mean(µ) = 168Standard deviations (σ) = 5X ~ N (µ, σ )= N(168,5)

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: College students average 7.4 hours of sleep per night with a standard deviation of 45 minutes. If…

A: Given data college students average 7.4 hrs of sleep with standard deviation of 45mins

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A: Introduction: The fashionable regular distribution, additionally called the z-distribution, is a…

Q: difficult exam has a normal distribution with a mean of 50 and a standard deviation of 10. Find the…

A: # Here given that X~Nμ,σ and z=x-μσ→ 1 So according to equation…

Q: Approximately what percentage of normally distributed data values will fall within 2 standard…

A: It is known that, normal curve is a symmetric and bell shaped distribution.

Q: A normal distribution has a mean of 175 and a standard deviation of 38. What percent of observations…

A: Given that A Normal distribution has Mean (μ) = 175 Standard deviation (σ) = 38 We know that Z =…

Q: A statistics test has a mean of 60 and a standard deviation of 10 while an accounting test has a…

A: Given information Statistics test Mean µ = 60 Standard deviation σ = 10

Q: Scores on a test are normally distributed with a mean of 123 and a standard deviation of 20. What…

Q: The table below shows some data from a known international clothing company. Each re in the table…

A: Hi! Thank you for the question. AS per the honor code, we are allowed to answer the three sub-parts…

Q: on jan 15 the temperature is 4 degre standar deviation above the mean what is temperature on jan 15

A: Given that Mean temperature = 16 And SD = 0.5 Let x denote the temperature on Jan 15.

Q: The distribution of the weights of dogs at a local rescue shelter is Normal, with a mean of 38…

Q: What is the corresponding Z score ? Mean is 70, standard deviation is 10 and X= 89

A: We have to find z score.

Q: Assume that the speed of automobiles on an expressway during rush hour is normally distributed with…

A: The speed of automobiles on an expressway during rush hour is normally distributed with a mean of 64…

Q: Approximately what percentage of normally distributed data will fall within 2 standard deviations…

A: Based on the Concept of Empirical Rule: About 68% of the area under the curve falls within 1…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

Q: It takes an average of 10.2 minutes for blood to begin clotting after an injury. An EMT wants to see…

A: From the provided information, The hypotheses are as follow: H0: µ = 10.2 H1: µ < 10.2 The test…

Q: Birth weight, in grams, of newborn babies are normally distributed with a mean of 3290 grams and a…

A: Mean=3290gmStandard deviation =520gm

Q: Glucose levels in patie tz free of diabetes are assumed to follow a normal distribution with a mean…

A: Here, mean is 120 and standard deviation is 16.

Q: find standard deviation if range is 3.

A: Given: Range = 3

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190 standard deviation σ=30 X~N 190,30 we need to find, PX<130+PX>250=P…

Q: The mean of a data ser is 70. The standard deviation is 2. Between what Value is 95% of data found…

Q: a quantitative data set has mean 25 and standard deviation 2. approximately what percentage of the…

A: The given data is as follows:Population mean, Population standard deviation,

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.8…

Q: Assume that math test scores are normally distributed with a mean of 400 and a standard deviation of…

Q: A set of data item is normally distributed with a mean 218 and a standard deviation of 49. Find the…

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given Information

VIEW

Step 2: Determine the percentage of values that lie above 22

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 15 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let’s assume that weight is normally distributed with a mean of 160 and a standard deviation of 25 pounds. The middle 80% 0f all people lie between which two weights?
The height of men in the United states fits with a normal distribution with a mean of 70 inches and a standard deviation of 3 inches. What height represents the 50th percentile of men heights in the United states?
Assume that the mean amount of coffee dispensed is 6 ounces and a standard deviation is 0.5 ounce use the empirical rule. What percent of cups should have at least 6 ounces and what percent of cups should have less then 4.5 ounces of coffee?
The distribution of weights for newborn babies is approximately normally distributed with a mean of 7.3 pounds and a standard deviation of 0.7 pounds. The middle 95% of newborn babies weigh between , and , pounds. What percent of newborn babies weigh less than 5.9 pounds? Approximately 50% of newborn babies weigh more than , pounds
The average birth weight of elephants is 230 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 50 pounds. Find the birth weight of elephants at the 90th percentile.
Plzz explain
Please help me understand the problem. Is the given standard deviations 6, and 7? I know I need to use the unit normal table, and shade the curve. But how? Thanks.
Cholesterol levels for teenage boys can be modeled by a normal distribution with mean 150 mg/dl and standard deviation 25 mg/dl. About 0.15% of 14-year-old boys have cholesterol levels less than what value? Use the empirical rule and do not round your answer.
A distribution of values is normal with a mean of 197.6 and a standard deviation of 24.6.Find P40, which is the score separating the bottom 40% from the top 60 P40 =
A distribution of values is normal with a mean of 137.5 and a standard deviation of 37.8. Find P57, which is the score separating the bottom 57% from the top 43%. P57= Enter your answer as a number accurate to 4 decimal places.
A set of data item is normally distributed with a mean 218 and a standard deviation of 49. Find the data item in the distribution that corresponds to the given z score. Z-score=-1.3