A population of 2000 rods has a mean length 200cm and standard deviation 20cm. What is the mean and standard error of sampling distribution of the sample mean x for sample sizes  100 and 200

Q: Find the sample variance and sample standard deviation of a population. Given that population…

A: We have given that,  Population standard deviation (σ) = 15 and sample size (n) = 25

Q: Assuming that IQ is normally distributed with a mean of 100 and a standard deviation of 15, describe…

A: According to central limit theorem, for large sample (>30) or if the population follows normal…

Q: The heights of people in a certain population are normally distributed with a mean of 67 inches and…

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Q: In 2015, the average duration of long-distance telephone calls from a certain town was 3.9 minutes.…

A: given  n= 50 ∑x=205∑(x-x)2=56.43

Q: For each data set, compute the standard deviation. What is the standard deviation of the sample of…

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Q: Out of 100 packages 150. Use your knowledge of normal distribution to estimate the average number of…

A: Given 68 out of 100 is 68% Vide the Empirical rule, also known as 68 - 95 - 99.7 percent rule stated…

Q: Assume the random variable X is normally​ distributed, with mean μ=45 and standard deviation σ=8.…

A: Given,μ=45σ=8P(X<x)=13%=0.13x=?

Q: The population has a mean of 14 and a standard deviation of 3. The sample size of your sampling…

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Q: For a population with a mean of 72 and a standard deviation of 10 what is the standard error of the…

A: From the provided information, Mean (µ) = 72 Standard deviation (σ) = 10

Q: What is the minimum sample size required to estimate a population mean with 95% confidence when the…

A: Given, standard deviation, σ = 10.75 margin of error, E = 1.9

Q: They select a random sample of 101 recent college graduates and find a sample mean hourly wage of…

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Q: the mean and standard deviation of a population are 200 and 20 respectively. suppose the sample size…

A: Given data,μ=200σ=20If n=36the mean of the sampling distribution=?

Q: The relative standard deviation for an .8 unknown sample that gave a S/N ratio of 6 * is 1.0 0.2 0.4…

A: Given : Relative standard deviation = 0.8 Sn = 6

Q: throughout America and decides to focus on the height data, given in meters, which are repro…

A: Given data :  Height of skyscrapers ( meters) 107.5 108.2 133.6 151.4 155.8 149…

Q: A government agency provides the number of miles that residents of the 75 largest metropolitan areas…

A: The random variable X follows normal distribution. There are two samples of data which are named as…

Q: a) Find the population standard deviation o. b) What is the required sample size if one wants the…

A: Here use MARGIN OF ERROR formula

Q: If a population of raw scores is normally distributed and has a mean µ = 80 and a standard deviation…

A: Given: μ=80σ=8 Central Limit Theorem for mean:  If a random sample of size n is taken from a…

Q: Define the sampling distribution of the sample mean for normal population when the variance is…

A: Let the sampling distribution of the sample for normal population when the variance is unknown is…

Q: Find the range, the standard deviation, and the variance for the given samples. Round…

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Q: Give the mean and the standard deviation of the distribution of means for mean=100; Variance=100;…

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Q: Define the sampling distribution of the sample mean for normal population when the variance is known

A: Let sampling distribution for normal population when the variance is known is Nμ,σ2. The sampling…

Q: We are going to calculate the standard deviation for the following set of sample data. 1) First,…

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Q: The average age of a car registered in the Land Transportation Office is 10 years or 120 months.…

A: Sampling Distribution of a Normal Variable :  Given a random variable X. Suppose that the population…

Q: Find the sample variance and sample standard deviation of a population. Given that population…

A: Here Given  σ=6 Sample size=n=21

Q: The annual salary for one particular occupation is normally​ distributed, with a mean of about…

A: Sampling Distribution of a Normal Variable :  Given a random variable X. Suppose that the population…

Q: 2. A normally distributed population has mean 57,800 and standard deviation 750. Find the mean and…

A: To find the mean and standard deviation of the sample means for samples of size 100:

Q: For a particular process that is in good statistical control, the mean standard deviation value,…

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Q: if a population has a mean  of 75 and a standard deviation of 15    (a) what is the mean of the…

A: Given,sample size(n)=25mean(μ)=75standard deviation(σ)=15

Q: Find the sample standard deviation of these values. Round to the

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Q: For a normally distributed data set with mean 20 and standard deviation 4.  According to the…

A: Solution-: Given: μ=20,σ=4 We want to find what percentage of the data lies between 8 and 32?

Q: If the Standard Error SE( y ) is 1.299 and if the sample standard deviation is 4.87, what is the…

A: It is given that S.E(mean) = 1.299 Sample SD s = 4.87

Q: For a population with a mean of 45 and a standard deviation of 10 what is the standard error of…

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Q: Given two samples with sample size, mean, and standard deviation as: sample 1: 9, 100 cm, 5cm;…

A: Givenn1=9, X¯1=100, s1=5n2=16, X¯2=80, s2=6we want to find standard error for difference of means.

Q: A population has a mean μ=138 and a standard deviation σ=23. Find the mean and standard deviation…

A: It is given that, A population has a mean μ=138 and a standard deviation σ=23 It is also given that,…

Q: (ii) Compute the sample mean and sample standard deviation for the data.

A: Given A01 data set: A01 18.2 14.9 17.2 14.3 10.5 17.2 17.5 15.8 15.9 11.6…

Q: Calculate the observed z value using a sample mean of 25, a population average of 20, and a standard…

A: Given data: Sample mean = 25 Population  average = 20 Standard error of the mean  = 8

Q: Find the standard deviation of the sampling distribution of sample means using the given…

A: Central Limit Theorem:If a random sample of size n is taken from a population having mean  and…

Q: Given the measurements 20, 26, 40, 39, 25, 36 and 34, compute for the following. 1. Range 2. Mean…

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Q: The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour…

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Q: If the sample size is 100 and the population standard deviation is 20, then the standard deviation…

A: Given  True or false question Sample size=100  Population standard deviation=20  We need to…

Q: Determine the type of distribution that should be used to test a hypothesis about a population mean…

A: From the above data  The given information is  Sample size n = 25, sample mean x = 256, sample…

Q: As the sample size n increases, the standard deviation of the sampling distribution decreases.

A: The standard error (SE) of a statistic is approximately the standard deviation of a statistical…

Q: Suppose the variance of a sample is 5.7. Find the standard deviation. Round to two decimals.

A: According to the given information, we have Variance = 5.7

Q: Olson Agriculture company has determined that the weight of hay bales is normally distributed with a…

A: Sampling distribution of sample mean: If the population is normally distributed then the sampling…

Q: he annual salary for a certain job has a normal distribution with a mean of $54, 000 and a standa…

A: Answer 1: Sample size 30 or greater than 30   Answer 2:   As the sample size is higher than 30, it…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.