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Central Limit Theorem

Statistics Definitions

What is the sampling distribution of sample means? What is the mean of the sampling distribution of sample means? What is its standard deviation? How is that standard deviation affected by the sample size? What does the central limit theorem state about that distribution?

Normal Distribution Using Central Limit Theorem

The mean weight of newborn babies in a Long Island Community is 7.5 lbs with a standard deviation of 1.4 lbs. What is the probability that a random sample of 49 babies has a sample mean weight of at least 7.2lbs?

Calculation of Mean & Standard Deviation in STATDISK

Using Statdisk 1. Assume all dice have 6 sides, a. simulate the rolling of a single die 800 times (select data than dice generator). Use copy/paste to copy the results to the descriptive statistics and histogram modules, and enter results One Die Mean_____________ Standard Deviation________

SAT Scores and the Central Limit Theorem

Would you be able to baby step walk me through the formulas needed to solve this problem? ie; step 1, step 2, etc. Maybe you could use a similar problem to this one so I can at least understand the process I need to do to get this answer? This book I have does not simplify and step through the method for solving this in a way

Importance of the Central Limit Theorem

Why is the Central Limit Theorem so important to the study of sampling distributions? A. It allows us to disregard the size of the sample selected when the population is not normal B. It allows us to disregard the shape of the sampling distributions when the size of the population is large C. It allows us to disregard

Central Limit Theory

Population Parameters. A population consists of these values: 2,3,6,8,11,18 a) Find U (mu), mean; Find Sigma (std. deviation) b) List all the samples of size n= 2 that can be obtained without replacement c) Find the population of all values of x (with bar over it) by finding the mean of each sample from part (b) (

Central limit theorem question

State the Central Limit Theorem The time spent by a factory worker A packing a box is a random variable with mean 3.5 minutes and standard deviation 1 minute. The times spent packing any two boxes are independent. (i) What is the approximate probability that he packs 100 boxes in less than 6 hours? (ii) What is the appr

Problem Set-up: Sampling Methods and the Central Limit Theorem

I need help setting this up: The area of study is Sampling Methods and the Central Limit Theorem. Consider the digits in the phone numbers on a randomly selected page of your local phone book a population. Make a frequency table of the final digit of 30 randomly selected phone numbers. For example, if a phone number is 55

Prob Set-up: Sampling Methods and the Central Limit Theorem

The area of study is Sampling Methods and the Central Limit Theorem Consider all of the coins (pennies, nickels, quarters, etc.) in your pocket or purse as a population.Make a frequency table beginning with the current year and counting backward torecord the ages (in years) of the coins. For example, if the current year is 20

Probability regarding a sample mean by using the central limit theorem

Question: Men have hips normally dist. with a mean of 14.4 in. & s.d. of 1.0. Assume 2 male riders randomly selected. Find the probability that their mean hip width is greater than 15.5 in. Please show steps to arrive at the solution Also: Is the design appropriate assuming that the 2 men have a mean breadth of 16.75 inch

Normal distribution probability - Central Limit Theorem

Assume men's weights are normally distributed w/ a mean of 172 lb. and a s.d. of 29lb. (a) If one man randomly selected, find the probability his weight is between 166 and 176 lb. ( b) If 16 men selected, find the probability that the mean weight is between 166 and 176 lb.

Probability - Central Limit Theorem

A wholesaler assures retailer replacement times for TVs normally dist. with mean of 8.2 and s.d. of 1.1. The retailer finds that a random sample of 20 sets from the wholesaler have mean replacement time of 7.6 years. Find P of getting a sample of 20 TVs with a mean replacement time of 7.6 years or less. Is wholesaler trustwort

Assume men's weights are normally distributed...

Assume men's weights are normally distributed with a mean of 172 lb and an s.d. of 29lb. If one selected find P his weight is between 163 and 176lb. Part B is my problem-using the central limit theorem, if 16 men are randomly selected, find the P they have a mean weight between 166lb and 176 lb. The answer is not .5118 bu

Find P

U= 143 lb, Stand. Dev. = 29 lb. 1a) If one woman is randomly selected, find the P that her weight is above 140 lb. I get 5517-what now??? 1b) If 100 women are selected randomly, find the P that they have a mean weight greater than 140lb. (Central limit theorem)

Central Limit Theorem

U=143lb, Standard Deviant = 29 lb a) If 1 woman is randomly selected, find the probability that her weight is above 140 b) If 100 women are randomly selected, find the probability that they have a mean of over 140 lb. I believe the theroem is used only on part b.

Central limit theorem/sampling distribution of a sample mean

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters. In fact, the contents vary according to a normal distribution with mean=298 ml and standard deviation=3 ml. a)What is the probability that an individual bottle contains less than 295 ml? b)What is t

Central limit theorem/Sampling distribution of a sample mean

An SRS of 400 American adults is asked, "What do you think is the most serious problem facing out schools?" Suppose that in fact 30% of all adults would answer "drugs" if asked this question. The proportion X of the sample who answers "drugs" will vary in repeated sampling. In fact, we can assign probabilities to values of X us