A population has a mean μ=71 and a standard deviation σ=21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=49.

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: For a normally distributed population with a mean of 40 and a standard deviation of 5 find P(38 < X…

A: Given Information: Required : To find P(38 &lt; X &lt; 41) Z-score is a measure which indicates…

Q: If a population has a mean of 228.8 and a standard deviation of 35.5 then a sampling distribution…

A: Given that, mean is 228.8 and standard deviation is 35.5. We will use z-standard normal…

Q: A population forms a normal distribution with a mean of 85 and a standard deviation of 24 compute…

A: From the provided information, Mean (µ) = 85 Standard deviation (σ) = 24 X~N (85, 24)

Q: For a sample of 12 items from a normally dis￾tributed population for which the standard deviation is…

A: Provided information is ;  sample size(n) =  12 items  population standard deviation(σ ) =  17.0,…

Q: when samples of size 25 are collected from a normal population that has a mean of 100 and a standard…

A: The sample standard deviation (s) is equal to the ratio of standard deviation of the population σ…

Q: The mean weight of junior high school students is µ = 45 kg. If a random sample of 90 students is…

A: Here, µ = 45 kg and σ=3.5 kg  Mean of the sampling distribution: μx¯=μ=45

Q: Assuming that the scores of Grade 11 students in Statistics and Probability in their third quarter…

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Q: A population has a mean = 139 and a standard deviation = 29. Find the mean and standard deviation of…

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Q: Calculate variançe and standard deviation from the given data,

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Q: A sample of 90 items has mean 55 and standard deviation 3. A second sample of 110 items has mean 60…

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Q: If a population has a mean of 15 and standard deviation of 3, what is expected of the sample mean…

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

A: Given,μ=45σ=8P(X&lt;x)=13%=0.13x=?

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: The mean and standard deviation of a population are 200 and 20, respectively. Suppose samples of…

A: Given : μ = 200 , σ= 20 and n= 36

Q: Given a standard error of 5.2 with a sample size of 9. Then the standard deviation is

A: Solution: 4. From the given information, a standard error is 5.2 and n=9.

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: The sample standard deviation for the cost is $

A: The sample standard deviation for the frequency distribution is, s=1n-1∑ifixi-x2 The sums are,…

Q: As the size of a sample increases, the standard deviation of the distribution of sample means…

A: Here  Standard deviation of sample mean = σn

Q: The amount of water used in a single load by a certain model of washing machine is normally…

A: Solution

Q: If the population standard deviation is σ=10, how large a sample is necessary to have a standard…

A: σ=10   The standard error is given by SE = σn n = (σSE)2

Q: Find the raw score of a standard score of z= -1.25 in a normally distributed population with mean 25…

A: given data Z score =-1.25 Mean = 25 standard deviation = 5

Q: For a sample of 35 items from a population for which the standard deviation is 5 20.5, the sample…

A: Given data is appropriate for z-test for single mean. because it is a large sample test .(n&gt;30)

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: For a sample of 35 items from a population for which the standard deviation is σ = 20.5, the sample…

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Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: From the provided information, Population standard deviation (σ) = 18 Sample size (n) = 36

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

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

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Q: Experience has shown that the weight of lemons produced by an orchard is normally distributed, with…

A: As given: Average weight (µ) = 100g Standard deviation (σ) = 8g A sample of 150 of these oranges is…

Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: A population has a standard deviation of 18.

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

A: We have given that  Mean=72 Standard deviation=10 Sample size=25 Find the standard error

Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find…

A: Solution:From the given information, mean value is 50, standard deviation value is 7. Let the random…

Q: Calculate the standard error for a sample mean when the population standard deviation is 221.6 and…

A: Given data N = 36 SD = 221.6

Q: A normal distribution has a mean of 60 and a standard deviation of 2.  Determine the z-score for the…

A: Given data, Mean=60 sd=2 x=22 z=?

Q: If you draw a sample of size 10 from a population of size 35 with a population mean of 83.4 and…

A: In question, Given that you draw a sample of size 10 from a population of size 35 with a population…

Q: The standard deviation of a normal random variable X is $50 . Given that P(X ≤ $40) = .25, what is…

A: Given data,σ=50x=40P(X ≤ $40) = .25μ=?

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

A: Given : μ = 132000 , σ= 16000 and n= 26

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: the maximum value of a distribution is 47.5 and the minimum value is 4.0 what is the estimated…

A: Given : Lower limit,a = 4 Upper limit,b = 47.5

Q: If the sample size is 100 and the population standard deviation is 40, then the standard deviation…

A: We have given that,  Population standard deviation (σ) = 40 and sample size (n) = 100 Then,  We have…

Q: Given that the mean and standard deviation are $24 and $3. Calculate the variance.

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Q: Experience has shown that the weight of lemons produced by an orchard is normally distributed, with…

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Q: The standard deviation of a sample is 3.0 and the standard error is -16.52, what was the original…

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Q: If the standard error of the sample mean is 5, for samples of size 25, what is the popu lation…

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