Suppose a random sample of n = 25 observations is selected from a population that is normally distributed with mean equal to 106 and standard deviation equal to 12. a. Give the mean and the standard deviation of the sampling distribution of the sample mean x.

Q: Assume that the weights of quarters are normally distributed with a mean of 5.67g and a standard…

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Q: A. 76% of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is…

A: Given  n=800, p=0.76  We want to find the mean and standard deviation.

Q: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of…

A: Given,Population mean (μ) = 200Population standard deviation (σ) = 50Sample size (n) = 100.We know…

Q: What proportion of the population would be expected to have a petal length (a) greater than 4.5 cm?…

A: Let , X→N(μ=3.5 , σ=0.5) Our aim is to find the following :  a) The proportion would be expected to…

Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 56 and…

A: According to the central limit theorem,

Q: Q. -The mean and the standard deviation of the breaking load in experiments perfomed on 25 concrete…

A: 4. Given: x¯=10000s=500n=25 The appropriate sampling distribution to be used is t distribution as…

Q: Find P(27 < X< 32) if X is normally distributed with mean 29 and standard deviation 5.

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Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A: The mean is 13.9 and the standard deviation is 2.1, and the sample size is 49.

Q: Suppose a population of rice grain sacks has a mean of 180 with a standard deviation of 50 kg. Using…

A: GivenMean(μ)=180standard deviation(σ)=50

Q: If x represents a random variable with mean 110 and standard deviation 14, then the standard…

A: If x represents a random variable with mean 110 and standard deviation 14. μ=110σ=14 sample…

Q: 23. Make a conjecture about the relationship between og, ox, and N, where az is the standard…

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Q: In a population of children at a local elementary school, the average number of sick days taken per…

A: a) Let X be the number of days child would be sick, So, we have mean (µ) = 6 Standard deviation (σ)…

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

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Q: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean,…

A: Random Variable has a discrete uniform distribution on the integers 0 through 9.So, Mean :…

Q: If a student computes the standard deviation that was due to the analysis error from a homogenous…

A: Given SD from homogenous sample = 0.04 SD from heterogeneous sample = 0.05

Q: Suppose a simple random sample of size n=81 is obtained from a population with a mean of 88 and a…

A: Given sample of size n=81 mean=88 standard deviation =27.

Q: For a sample of 40 items from a population for which the standard deviation is σ = 7.4, the sample…

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Q: A machine produces electrical component and the length of component follows a normal distribution.…

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Q: amdom variable with a mean =13.2 and standard deviation =5.6 Ramdom samples of fixed size n=12 are…

A: As the population distribution is normal, it can be said that the distribution of the sample with…

Q: The mean wage per hour for all 5000 employees who work at a large company is $27.50, and the…

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Q: 36% of a population has a particular characteristic. If samples of size n=400 are taken, calculate…

A: Solution: From the given information, the probability of a particular characteristic is 0.36 and the…

Q: 7. For a population with a standard deviation of σ = 20, how large a sample is necessary to have a…

A: Standard deviation: Standard deviation is defined as the positive square root of Variance. It is…

Q: Suppose that quiz scores in a beginning statistics class have a mean of 7.67.6 with a standard…

A: Given data ,Mean μ=7.6S.Dσ=0.5What is min % b/w 6.1 and 9.1 ?

Q: Suppose that the typing speed for secretaries are normally distributed with an unknown mean and…

A: Margin of error:Margin of error is a range of values that lie above and below the sample statistic…

Q: 1. If the standard deviation of the mean for the sampling distribution of random samples of size 36…

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Q: Suppose a random sample of size n=8 is selected from a population that is normally distributed…

A:

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X <…

A:

Q: Suppose x has a distribution with a mean of 90 and a standard deviation of 27. Random samples of of…

A: Given data, μ=90σ=27n=36x=85.5z=?

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine…

A:

Q: The population distribution at right has a mean of 8 and a standard deviation of 6. The sampling…

A: From the given information, μ=8σ=6 For the first histogram, the spread of the data is low and the…

Q: Suppose  that  the  current measurements  in  a  strip  of  wire  are  assumed  to follow  a  normal…

A: Solution

Q: If x is normally distributed with a mean of 5 and standard deviation of 2, find the P(x>8).

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Q: 19. In a sample distribution, X = 56 corresponds to z = 1.00, and X = 47 corresponds to z = -0.50.…

A: The formula of z-score is, For X = 56 corresponds to z = 1.00, then the equation is,

Q: distributed, with mean μ=55 and standard deviation σ=4. Find the 6th percentile

A: We have given that, Population mean (μ) = 55 and standard deviation (σ) = 4 Then,  We will find the…

Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

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Q: The standard deviation of the sampling distribution of x, denoted is called the of the ..... The…

A: Given : Formula forsstandard error is

Q: Suppose weights of running shoes have an unknown distribution with mean 11 and standard deviation 2…

A: The standard deviation from the sample mean distribution is obtained below: From the information,…

Q: For random samples of size n = 25 selected from a normal distribution with a mean of µ = 50 and a…

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Q: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of…

A:

Q: Suppose the body mass index (BMI) of a group of athletes has a population mean of 24.98 and a…

A: # Given random sample of size n=150 and population mean mu=24.98  and standard deviations=4.18  To…

Q: ples of size 100 are drawn randomly from a normal population that has a mean of 20 and a standard…

A: Given: μ=20, σ=5, n=100 The corresponding z-value needed to be computed: The probability of…

Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 60 and…

A: Given data: Let X denotes the heights (in inches) of male orangutans with mean and standard…

Q: Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15.…

A: Since the area corresponding to z-value 1.73205 is 0.958368 calculated by Excel command NORM.S.DIST…

Q: Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of…

A: Solution: From the given information, X has a mean µ=50 and a standard deviation σ=36. The sample…

Q: population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of size…

A:

Q: Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg.…

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Q: Suppose that a very large number of random samples of size 25 are selected from a population with…

A: Given, Sample size, n =25 Mean, μ = 300 Standard deviation, σ = 20

Q: Suppose X is normally distributed with mean 50 and standard deviation 4, what is P(45 < X < 58) ?…

A: X is normally distributed with mean 50 and standard deviation 4 So, X ~ N(50,42) Therefore, Z =…

Q: Suppose that a simple random sample is taken from a normal population having a standard deviation of…

A: Given, n=64 σ=5.5α=0.05MOE=Zα/2*σn