87 Answered Questions for the topic Normal Distribution
Julio observed that customer satisfaction ratings are normally distributed. If the 33rd percentile is 6.775, and the 65th percentile is 7.394 on a scale from 0-10 find the mean and standard deviation
In any normal distribution, the probability of randomly selecting an observation that is less than the population mean is 68%. True or False?
A brisk walk at 5 miles per hour burns an average of 320 calories per hour. If the standard deviation of the distribution is 8 calories/hour, find the percentage of people who walk at 5 miles per... more
Sampling Distribution: There are 350 workers in a firm, with an average age of 37.6 years and an 8.3 years of standard deviation.
There are 350 workers in a firm that consists of the following:-An average age of 37.6 years-Standard deviation of 8.3 yearsWhat is the probability that a random sample of 45 employees would have... more
Normal Distribution: Credit card balances, consisting of mean = $2870, standard deviation = $900.
Normal Distribution question: Credit card balances, consisting of:Mean = $2870, standard deviation = $900.25 credit card holders are chosen at random.What is the probability that the mean balance... more
Continuous Probability Distributions (Standard Normal Distribution) question: If the daily consumption of the average person follows a normal distribution that consists of the following..
If the daily consumption of the average person follows a normal distribution that consists of the following: 3.58 (mean), 1.04 litres (standard deviation)How many litres do 67.72 percent of... more
Continuous Probability Distributions, Normal Distribution: If 500 pupils' scores that were gathered are within a normal distribution..
If 500 pupils' scores that were gathered are within a normal distribution, and that the mean is 70, the variance is 16, and the standard deviation is 4:1) At random, a pupil was chosen. What is the... more
The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days and a standard deviation of 17 days.
In what range would you expect to find the middle 98% of most pregnancies? I solved this one already, in where it's between 230.458 and 309.542.The second one is what I'm drawing blanks on:If you... more
what percent of these differ from the population mean(nomal distribution)
if a set of observations is normally distributed, what percent of these differ from the population mean by more than 0.96σ, where σ is the population standard deviation.
Population distribution question for college statistics
A population of values has a normal distribution with μ=82.6 and σ=56.2. You intend to draw a random sample of size n=223.Find P9, which is the score separating the bottom 9% scores from the top... more
Please help with statistics
A population of values has a normal distribution with μ=156.9 and σ=92.2. You intend to draw a random sample of size n=195.Find the probability that a single randomly selected value is between... more
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the x-score that corresponds to a z-score of 2.45.
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages.
The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 22.2 and the standard... more
Answer in details for 10marks
(ii) a) 36 out of 100 persons interviewed are familiar with the tax incentives given by the government for installing solar panels, construct a 96 % traditional confidence interval for the... more
what if in a given word problem concerning normal distribution, the values of the score (X) and the mean are missing and are required to be solved, how will you solve it? What if the word problem... more
In a given word problem, it is customary that all values are given. In the case of a word problem with normal distribution, it is common that the values of the score, the mean, and the... more
Data Management Normal Distribution Probability
The heights of 16-month-old oak seedlings are normally distributed with a mean of 31.5 cm and a standard deviation of 10 cm. What is the range of heights between which 5 % of the seedlings will... more
Data Management Probability, Standard Deviation, and Normal Distribution Question:
Hi, how would i get started on solving this question? The average monthly rainfall in Southern California is 26 mm. If rainfall data over the year is normally distributed with a standard deviation... more
How can I estimate the probability of a random variable from one population being greater than all other random variables from unique populations?
Lets assume I have samples from 4 unique populations. Let's also assume I have a mean and standard deviation from each of these populations, they are normally distributed and completely independent... more
probability in statistics
The number of hours an American adult sleeps each night follows a Normal distribution with an average of 6.9 hours per night with a standard deviation of 0.68 hours. If we randomly select one... more
what is the z score?
the number of hits a particular website receives in a day is normally distributed with a mean of 6250 hits and a standard deviation of 480 hits. what is the Z score for a day in which the website... more
Probability & Distribution question
Thank you so much!! I really want to master this unit :(
Have a final pleaseee help
In a normal distribution with mean 850 in standard deviation 120 find the probability that a data value picked at random is greater than 1169show work!
SAT scores: The College Board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen.
SAT scores: The College Board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen. a. What is the probability... more
Baby weights: According to a recent National Health Statistics Reports, the weight of male babies less than 2 months old in the United States...
Baby weights: According to a recent National Health Statistics Reports, the weight of male babies less than 2 months old in the United States is normally distributed with mean 11.5 pounds and... more