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

Q: a normal distribution has a mean of 60 with a standard deviation of 8. for this population, which is…

A: Solution

Q: Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score of…

A: Introduction:Consider X as a normally distributed random variable, with mean μ and standard…

Q: A normal distribution has a mean of 20 and a standard deviation of 4. Determine the z-score for the…

A: Given that a normal distribution has a mean of 20 and a standard deviation of 4.  We need to…

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: At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of…

A: Given problem Given that   At a local high school, GPA's are normally distributed with a mean of…

Q: A given distribution has a population mean, μ, of 131 and a population standard deviation, σ, of 14.…

A: Given information Mean = 131 Standard deviation = 14

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

A: The standard deviation is 20.

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: . Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score…

A:

Q: A given distribution has a population mean, μ, of 114 and a population standard deviation, σ, of 12.…

A:

Q: 3) A normal distribution has a mean of 75 and a standard deviation of 15. Determine the z-score for…

A: The random variable X follows normal distribution. We have to find the z-score. This is one sample…

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

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

A:

Q: A distribution is given as X ~ U(0, 12). What is the theoretical standard deviation?

A: concepts and reasonuniform distribution is a continuous probability distribution.it is defined…

Q: For a population with a standard deviation of σ = 6, what is the z-score corresponding to a score…

A: We are given:

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

A:

Q: Assume a normal distribution of mean = 35 and standard %3D deviation of 5. Answer the following…

A: Given that Normal distribution of mean=35 and standard deviation=5 x~N(μ=35, σ=5)

Q: A given distribution has a population mean, μ, of 150 and a population standard deviation, σ, of 6.…

A: Distributions are of 2 types, discrete and continuous. A normal distribution is a continuous…

Q: For a population with a standard deviation of 20, what is the zscore corresponding to a score that…

A: The population standard deviation is 20. The z-score corresponding to a score that is 5 points below…

Q: A given distribution has a population mean, μ, of 133 and a population standard deviation, σ, of 15.…

A: A given distribution has a population mean, μ, of 133 and a population standard deviation, σ, of 15.

Q: A score that is 6 points below the mean corresponds to a z-score of z = -2.00. What is the…

A: Given: z-score = -2.00 Formula: Where,

Q: Given a distribution with a mean of 70 and a standard deviation of 62, find a value with a z-score…

A:

Q: A normal distribution has a mean of 60 and a standard deviation of 20. Barbara's score is 40. What…

A: It is given that the Normal distribution has a mean 60 and a standard deviation of 20.  Suppose X be…

Q: Sketch a normal distribution/bell curve with a mean of 60 and a standard deviation of 20.  What…

A: Given that  X~Normal( μ=60 , σ=20 )

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 score that is 6 points below the mean corresponds to a z-score of z = -1.50. What is the…

A: We have to find population standard deviation from given information. We need to use z score…

Q: Given a standard normal distribution (with a mean of 0 and a standard deviation of 1) what is the…

A:

Q: A given distribution has a population mean, μ, of 101 and a population standard deviation, σ, of 15.…

A: Z-score for any Raw score X is given by, Z Score=(X-mu)/sigma Where mu is mean and sigma is standard…

Q: A given distribution has a population mean, µ, of 106 and a population standard deviation, ơ, of 15.…

A: It is given that Mean = 106, SD = 15 And value x = 134

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: In a normal distribution, what percentage of the population lies with-in 1 standard deviation of the…

A: In a normal distribution, there are predefined percentage of the population which lies in 1 standard…

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

A:

Q: The fastballs follow a Normal distribution with mean μ = 92 mph and a standard deviation of σ = 2…

A:

Q: for a normal distribution with a mean of 7 and a stanard deviation of 6, the value 10 has a z value…

A: It is given that mean and standard deviation are 7 and 6, respectively.

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

A:

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: A normal distribution has a mean of 98 and a standard deviation of 9. Find the z-score for a data…

A: Consider the given:  Formula for z score- z=Value − meanStandard deviationIt is given…

Q: A normal distribution has a mean of 148 and a standard deviation of 5. Find the z-score for a data…

A: Solution: Let X be the data value. From given information, X has mean µ=148 and a standard deviation…

Q: For a population with mean of 50 and a standard deviation of 8, what is the Z-score that corresponds…

A: Given:  population mean of random variable x is =50 and standard deviations=8  then find z score…

Q: At the local liquour store, a single purchase approximately follows a normal distribution with a…

A:

Q: A standardized test has a mean of 50 and a standard deviation of 4. Which of the following is the…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

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: Given a standardized normal distribution (with a mean of 0 and a standardized deviation of 1) what…

A:

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: On a standardized exam, the scores are normally distributed with a mean of 450 and a standard…

A:

Q: A normal distribution has a mean of 77 and a standard deviation of 6. Find the z-score for a data…

A: z score: Consider X as a normally distributed random variable, with mean μ and standard deviation…

Q: A normal distribution has a mean of 103 and a standard deviation of 3. Find the z-score for a data…

A: Solution: From the given information, µ=103 and σ=3.

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

A: Given, n = 25 μ = 100σ = 20       To find, Sampling distribution of standard deviation?

Q: Given a normal distribution with a mean of 130, and a standard deviation of 4.5, find the value of a…

A: Z-score corresponding to a normal variable value X is      (X-mu)/sigma Where,      X = normal…

Q: The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given…

A: Given: Average=74 Standard deviation=7 z value for 88th percentile z=1.18(consulting the table…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.