A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is   a. .0495   b. .4505   c. .9505   d. 0

Q: Assume that a distribution of 10000 scores is normally distributed with a mean of 90 and a standard…

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Q: A population has a mean u=87 and a standard deviation o = 12. Find the mean and standard deviation…

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Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: here given , Assume that thermometer readings are normally distributed with a mean of 0°C and a…

Q: 1 A population has a mean μ = 87 and a standard deviation = 20 mean and standard deviation of a…

A: A population has a mean μ=87 and a standard deviation σ=26Then we'll find the sampling distribution…

Q: Find the z-score for the value 82, when the mean is 98 and the standard deviation is 3. OA. 2= -567…

A: From the provided information, Mean (µ) = 98 Standard deviation (σ) = 3 X~N (98, 3)

Q: A population has a bell-shaped distribution with a mean of 90 and a standard deviation of 8. Which…

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Q: Assume that a distribution of 10000 scores is normally distributed with a mean of 90 and a standard…

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Q: What is the variance if the standard deviation is 1? A, 0.1 B, 1 C. 5 D. 100

A: Solution: given standard deviations of random variable x is sd(x)=1  Then varience of x will be?…

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Suppose the random variable z defines the thermometer reading.

Q: The standard deviation of a sample is directly proportional to the square root of its sample size.…

A: We have given the following statement about the standard deviation.

Q: A variable x has a mean, p, of 30 and a standard deviation, o, of 5. What is the standardized…

A: From the given information,   Mean = 30 Standard deviation = 5   The objective is to find the…

Q: The heights of women follow a normal distribution with a mean height of 63.7, and a standard…

A: The independent variable is the height of women. The height of women follows normal distribution.…

Q: A population of scores has μ = 40 and σ = 5. If 3 points are deducted to every score in the…

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Q: A population has a mean p = 81 and a standard deviation o = 25. Find the mean and standard deviation…

A: We have ro find value of mean of sampling distribution.

Q: entrance examinations are normally distributed with a mean of 75 and a standard deviation of 10.…

A: X~N( μ , ?)   μ=75 , ?=10   Z-score =( x - μ )/?

Q: A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4.…

A: Given datanormal distribution μ=79.3σ=7.4choose a random score less than or equal to this 0.0078we…

Q: Between 1.00 and 2.00 Click to view page 1 of the table. Click to view page 2 of the table. Draw a…

A: It is given thatMean, μ = 0Standard deviation, σ = 1Z-Score, Z = ( X - μ )/σwhere, Z be the standard…

Q: What symbol is used for the standard deviation when it is a sample statistic? What symbol is used…

A: We know that-

Q: The population mean annual salary for plumbers is $49,000.  A random sample of 25 plumbers is drawn…

A: We have given that Mean(µ) = 49000Standard deviations (σ) = 5800n = 24

Q: If n = 20 andp = 0.90, then the standard deviation of the binomial distribution is a. 1.34 b. 2.34…

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Q: An engineer wishes to determine the width of a particular electronic component. If she knows that…

A: Assume that μ is the population mean width of a particular electronic component.

Q: A population has a mean μ = 82 and a standard deviation = 24. Find the mean and standard deviation…

A: Given that the distribution is normal distribution. Mean = 82 Standard deviation = 24 Sample size =…

Q: Two hundred pre-engineering students have their midterm grades in the statistics, assuming normally…

A: Given data: μ=2.2σ=0.6Normal distributionN=200n(2<x<2.5)=?

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Given thermometer readings are normally distributed with a mean of 0°C and a standard deviation of…

Q: A large group of students took a statistics test.   The mean score, from the scale of 100, was  74.5…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A population has a mean u = 86 and a standard deviation o = 28. Find the mean and standard deviation…

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Q: It is given that the mean and the standard deviation of the loss are -2.8 and 7, respectively. Based…

A: Let X be a random variable such that X: Loss amounts X~N(−2.8,72) Now, 90% VaR is given as…

Q: Assume that thermometer readings are normally distributed with probability of the reading. (The…

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Q: SAT exam scores are normally distributed with mean 500 and standard deviation 100.  Give the…

A: Let X=SAT exam score  Given that X is normally distributed with mean=500 and standard deviation=100…

Q: Examine the image below and then answer all parts of the question under it. Enter your answers as…

A: a) There are 4 yellow objects in 10 objects.So, P(yellow)=410=0.4b) There are 3 hearts in the 10…

Q: a. In a normal distribution, a = - (right or left) of the mean. b. -2, z = 6. This tells you that x…

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Q: A population has a mean = 86 and a standard deviation a=21. Find the mean and standard deviation of…

A: Given information: The sample size is n =258. Population mean, μ=86. Population standard deviation,…

Q: A population has a mean u= 85 and a standard deviation o = 16. Find the mean and standard deviation…

A: List of formulae : Mean of sampling distribution of sample mean ( x¯ ) : μx¯  = μ Standard deviation…

Q: A large group of students took a statistics test.               The mean score, from the scale of…

A:

Q: SAT exam scores are normally distributed with mean 500 and standard deviation 100.  Give the…

A: Let, X= SAT score  Given X follows normal distribution with mean=500 and standard deviation=100

Q: What symbol is used for the standard deviation of a population? O a. X-bar O b.H O C. S O d. o

A: Standard deviation: The positive square root of the mean square of the deviations taken from the…

Q: As a sample gets smaller and smaller, the sample mean tends to get closer and closer to the…

A: According to the law of large numbers (LLN) says that if we take samples of large size from any…

Q: Assume you have taken 125 samples of size 81 each from a population. The population variance is 64.…

A: answer is 0.88

Q: For a sample with a standard deviation of s = 12, a score of X = 42 corresponds to z = –0.50. The…

A: given data  s = 12 x = 42 z = -0.50 sample mean (M) = ?

Q: Given the standard deviation of 7, what is the variance? a. 49 b. 7 c. square root of 7 d.…

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Q: Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test…

A: Let X be the IQ scores  from normal distribution with mean (μ) = 105, standard deviation (σ) = 11…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Suppose a random variable X, defines the reading on thermometers.

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.