For normal distribution with a mean of 278 and a standard deviation of 25, what is the Z value for a random value to be 185?

Q: A math test has a normal distribution with an average of 100 and a standard deviation of 12. What is…

A: Given information Population mean µ = 100 Standard deviation σ = 12 We have to find the probability…

Q: A normal distribution has a mean of 60 with a standard deviation of 8. If one score is randomly…

A: Let A(x) be the probability that the value of a random variable X is less than or equal to x where X…

Q: The distribution of the heights of 0/1 18- year-old girls may be modelled by the normal distribution…

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Q: At a computer manufacturing company, the actual size of computer chips is normally distributed with…

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Q: If the mean is zero and the standard deviation is one in a normal distribution, what type of normal…

A: We know that if the normal distribution has 2 parameters as mean, μ and standard deviation, σ, where…

Q: A normal distribution has a mean of 100 and a standard deviation of 15. What is the median for this…

A: Given Mean μ=100, standard deviations σ=15

Q: If a normal distribution has a Mean of 26 and a Standard Deviation of 3.1. Find the probability of a…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: Assume that a normal distribution of data has a mean of 11 and a standard deviation of 3. Use the…

A: Given : for a normal distribution of data, mean = 11   and standard deviation = 3  To find the…

Q: If the variance of a distribution is 16, the standard deviation is?

A: Solution: From the given information, the variance of a distribution is 16.

Q: In a normal distribution with a mean of 72 and a standard deviation of 12 what is the value of x at…

A: A normal distribution is also called Gaussian distribution which has bell shaped curve. The normal…

Q: The standard deviation of the certain distribution is 9, what is its variance?

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: It is estimated that the weight of a box of cereal follows a normal distribution with a mean of 23.8…

A: From the given information,   Mean = 23.8 Standard deviation = 2.2   The objective is to find the…

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: A normal distribution has a mean of 62 and a standard deviation of 12. What is the median?

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Q: If the mean of the normal distribution is 52 and the standard deviation is 72, what is the…

A: Let X denote the Normal distribution. It is given that mean = 52 and SD = 72, then Z = (X - mean)/SD…

Q: A normal distribution has a mean of μ =72 and a standard deviation of σ = 8. What is the probability…

A: Given, μ=72σ=8n=36M=x=72

Q: If a normal distribution has a mean of 28.0 and a standard deviation of 2.5, what is the value of…

A: It is given that the mean is 28 and the standard deviation is 2.5.

Q: A normal distribution has a mean of 81 and a standard deviation of 4. Find the z-score for a data…

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Q: Assuming a normal distribution, if the mean for customer satisfaction ratings are 5.9 and the…

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Q: If a normal has a mean of 33.7 and a standard deviation of 10.5, what is the value of the random…

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Q: A normal distribution has a mean of 10 and a standard deviation of 10. What is the number such that…

A: Given the distribution is normalMean = 10standard deviation = 10 The Z score for probability to its…

Q: A normal distribution has a mean 80 and standard deviation is 10. What is the probability of…

A: Given:    µ = 80     σ = 10

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: Let X be a continuous random variable is normally​ distributed with a mean of 100 and a standard…

Q: For a population mean of 35, a sample was taken with a mean value of 40 and sample size equal to 30.…

A: Given data,μ=35σ=20x=40n=30P(X>40)=?

Q: It is estimated that the weight of a box of cereal follows a normal distribution with a mean of 23.8…

A: Solution: Let X be the weight of a box of cereal. From the given information, X follows normal…

Q: A normal distribution has a mean of 82 and a standard deviation of 3. Find the z-score for a data

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Q: If a distribution is normal with a mean 12 and a standard deviation 3, then the median is also 12.…

A: Normally distribution is a continuous probability distribution. In normal distribution curve is a…

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A: According to the given information, we have Mean = 62 Standard deviation = 15

Q: The normal model applies to the productivity of all workers at a factory, with a mean of 75 units…

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Q: what is the probability that a randomly selected case falls between 60 and 68? And what is the value…

A: It is given that X follows N(mean = 72, SD = 12), then Z = (X - mean)/SD follows N(0,1)

Q: A normal distribution has a mean of 20 and a standard deviation of 2. What is the z value of 17.5?

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Q: A normal distribution has a mean of 61 and a standard deviation of 15. What is the median?

A: Given, A normal distribution has mean of 61 and standard deviation of 15. Properties of normal…

Q: If the true mean is .9560 with a standard deviation of .0020 what is the sampling distribution of X

A: if the true mean is 0.9560 with a standard deviation of 0.0020 i.e.  μ=0.9560  and σ = 0.0020

Q: For a normal distribution with mean=500 and standard deviation=100, what X value separates the…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(xs 53)?

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Q: Suppose x is a value in a normal distribution, with a mean of 12, and standard deviation of 4, What…

A: Given: x=4μ=12σ=4 The z score of x=4 is obtained as follows: Z=x-μσ=4-124=-84=-2 Thus, the z-score…

Q: The weights of 40 watermelons coming out of a farm are normally distributed with a mean of 6 Kg and…

A: From the given information, Sample size (n) = 40 Ex=6,σx⏞ =1.945 Thus,

Q: What is the probability of selecting a sample of n=16 scores with a mean greater than M=56?

A: Let , X→N(μ=55 , σ=6) , n=16 Our aim is to the probability of selecting a sample of n=16 scores with…

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. If a random sample of…

A: Given that  μ= 400 , σ= 50 , n = 25

Q: A normal distribution has a mean of μ =72 and a standard deviation of σ = 8. What is the probability…

A: The formula for z-score for sample is, Z=M-μσn In the formula, M is the sample mean, μ is the…

Q: If a normal distribution has a mean of 10 and a standard deviation of 2, then what is the likelihood…

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Q: A normal distribution has a mean of 54, and a standard deviation of 6. What is the probability of…

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Q: If a distribution is normal with mean 10 and standard deviation 3, then the mode is also 10. True O…

A: Given data Normal distribution with mean = 10 Sd= 3 Then the mode will also 10 We have to identify…

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: For a normally distributed random variable the standard deviation is 3.7 what is the mean if 10% of…

A: Given that, σ=3.7 Consider that 10% of the distribution is less than 31.

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of cases…

A: GivenMean(μ)=72standard deviation(σ)=12

Q: If a normal distribution has a mean of 15.15 and standard deviation of 3.33, then what proportion of…

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Q: The average salary of senior high school teachers is ₱ 21,200. Assume a normal distribution with…

A: Given :  Mean = μ = 21200 Standard deviation = σ = 2500 Sample size = n = 36

Q: Suppose we have the short hand info on a Normal Distribution as N(10,25). What is the population…

A: Mean:Mean is a measure of center in case of quantitative data. Mean of a data set is the sum of the…

Q: If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the…

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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.