A distribution of values is normal with a mean of 235 and a standard deviation of 14.4. Find P63, which is the score separating the bottom 63% from the top 37%.

Q: A given distribution has a population mean, μ, of 127 and a population standard deviation, σ, of 11.…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 127 and…

Q: A distribution of values is normal with a mean of 205.3 and a standard deviation of 65. Find P93,…

A: It is given that the values follow normal distribution with mean 205.3 and standard deviation 65.

Q: A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 6.…

A:

Q: The mean is u: = and the standard deviation is o: =

A: Given,

Q: A distribution of values is normal with a mean of 123.2 and a standard deviation of 62 Find P35,…

A: Given: A distribution of values is normal with  μ=123.2 , σ=62

Q: What z-score would be associated with the value x = 124?

A: Given that Mean = 133 SD = 6 And the value is X = 124

Q: Find the​ z-score for the value 87​, when the mean is 82 and the standard deviation is 8. A. z=−0.96…

A: Given,mean(μ)=82standard deviation(σ)=8and the value(x)=87

Q: A given distribution has a population mean, μ, of 118 and a population standard deviation, σ, of 8.…

A: Solution: Let X be the random variable with mean µ and standard deviation is σ. Then, the Z-score…

Q: Use the normal distribution of IQ​ scores, which has a mean of 105 and a standard deviation of 13​,…

A: GivenMean(μ)=105standard deviation(σ)=13

Q: A normal distribution has a mean of μ = 70 and a standard deviation of  = 8. For the score, X = 72,…

A: Let X be the score. It is given, X follows normal distribution with mean µ=70 and a standard…

Q: find the z-score for the value 69, when the mean is 96 and the standard deviation is 5.

A:

Q: Find the​ z-score for the value 55​, when the mean is 79 and the standard deviation is 5.

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the…

A: Given information Mean μ = 70 Standard deviation σ = 8

Q: find the z-score for the value 95, when the mean is 77 and the standard deviation is 2.

A: Given, mean=77 standard deviation=2 find the z-score for the value 95

Q: On a standardized exam, the scores are normally distributed with a mean of 300 and a standard…

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Q: A national secondary achievement test is administered annually to high school students. The test…

A:

Q: The variable x is normally distributed with a mean of 500 and a standard deviation of 41. Find the…

A: Given that  X follows normal distributionμ=500σ=41

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. What…

A: We have given that,  Let X be the GPA scores from normal distribution with average or mean (μ) =…

Q: A distribution of values is normal with a mean of 141.6 and a standard deviation of 44. Find P65,…

A: Given Information: Mean μ=141.6 Standard deviation σ=44 To find Percentile P65: Using a standard…

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

A: If x=82 z=?

Q: For a t distribution with 15 degrees of freedom, 90% of the distribution is within how many standard…

A:

Q: A professor finds that the grades in a large class are normally distributed. The mean of the grades…

A: It is given that mean is 64 and standard deviation is 10.

Q: What was the cutoff for a failing score? Approximately what percentage of the students failed?

A: The scores on a psychology exam were normally distributed with a mean of 68 and a standard deviation…

Q: A sample has a mean M = 55. In the sample, a score of X = 48 corresponds to z = -1.50. What is the…

A:

Q: Find P33,

A: Let , X→N(μ=40.5 , σ=53.3) Our aim is to find the P33

Q: A given distribution has a population mean, μ, of 147 and a population standard deviation, σ, of 8.…

A: Given information Mean (µ) = 147 Standard Deviation(σ) = 8 X = 130 z-score

Q: A distribution of values is normal with a mean of 220.2 and a standard deviation of Find P16, which…

A: Let P16 = c So, P(X<c)=0.16  we have to find c.

Q: The scores on a driver's test are normally distributed with a mean of 100. Find the score that is 3…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 28 X~N (100, 28)

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: Hello, how do you calculate this? Thank You!

A: Compute the 90% confidence interval for the population mean.Since the sample size is small and the…

Q: f the value of adult male cholesterol is a normal distribution with a mean of 198 and a standard…

A: The question is about normal dist. Given : Mean of cholesterol value of adult male ( μ ) = 198 Std.…

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: The mean composite score for seniors who took the SAT in 2010 was 1068. If the standard deviation…

A: From the provided information, Mean (µ) = 1068 Standard deviation (σ) = 100

Q: A given distribution has a population mean, μ, of 140 and a population standard deviation, σ, of 7.…

A: From the given information,   Mean = 140 Standard deviation = 7   The objective is to find the…

Q: A score that is 20 points above the mean corresponds to a z-score of z – 1.25. What is the standard…

A: Given: z= 1.20 20 points above the mean. that is

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

A: Let the random variable X denote grade score. Then, X~Nμ, σ2 with μ=74 and σ=7. Let α be the lowest…

Q: 4. The average waist size for teenage males is 29 inches with the standard deviation of 2 inches.…

A:

Q: A given distribution has a population mean, μ, of 131 and a population standard deviation, σ, of 11.…

A:

Q: A given distribution has a population mean, μ, of 106 and a population standard deviation, σ, of 11.…

A: Mean = 106 Standard deviation = 11 Raw score = 104

Q: Find the z-score for the value 80, when the mean is 70 and the standard deviation is 2.

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Q: Find the z-score when x is 5, mean equals 7, and standard deviation 3.

A: Solution: Let X be the random variable. Then, the z-score is calculated by using the formula

Q: The hourly pay of a sample of nurses is approximately normal with a mean of $36.25 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: In a normal distribution, it is found that the mean is 56 and the standard deviation is 5, Find the…

A: We want to find the range of the values

Q: On an exam with u = 52, you have a score of X = 56. Which value for the standard deviation would…

A: We have given that µ = 52 x = 56 z-score formula is given as  z =( x - μ )/σ

Q: . A professor finds that the grades in a large class are normally distributed. The mean of the…

A:

Q: A test was given to 120 students, and the scores 8 approximated a normal distribution. If the mean…

A:

Q: A given distribution has a population mean, μ, of 145 and a population standard deviation, σ, of 5.…

A:

Q: A given distribution has a population mean, μ, of 138 and a population standard deviation, σ, of 9.…

A:

Q: A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 15.…

A:

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.