14. For a population with a standard deviation of o= 14, a score of X = 24 corresponds to z =-0.50. What is the population mean?

Q: Suppose that a distribution of 400 items has mean 130 and standard deviation 5. Find the​ z-score of…

A: Given that.   X~N( μ , ?)   μ=130     , ?=5  , x=143   Z-score =( x - μ )/?

Q: Suppose IQ scores are approximately normally distributed with a mean  of 100 and a standard…

A: Given, Mean =μ=100SD = σ=15

Q: Assume the cholesterol levels in a certain population have mean µ= 200 and standard deviation σ =…

A: According to the given information in this question We need to find z score for a sample mean of 180…

Q: A normally distributed population has a population mean ? = 21 and standard deviation ? = 4. What…

A: Given Information: Mean = 21 Standard Deviation = 4

Q: The scores of an exam in a graduate level course follow a normal distribution with a mean of 62 and…

A: Given:           Mean = µ = 62     Standard Deviation = σ = 6

Q: 2. What is the z-score of x if x = 2 and the median = 4, the mean = 5 and the standard deviation =…

A: Given Mean μ = 5median = 4Standard deviation σ = 2

Q: A normal population has a mean μ = 34 and standard deviation σ = 10. What proportion of the…

A: normal distribution μ = 34σ = 10 P(x<51) = ?

Q: The IQ of a person follows a normal distribution and has a mean of 100 and a standard deviation of…

A: It is given that the mean is 100 and standard deviation is 15.

Q: For a population with mean 90 and standard deviation 10, what is the z-score corresponding to X =…

A:

Q: 12. A sample has a mean M = 50. In the sample, a score of X = 41 corresponds to z = -1.50. What is…

A:

Q: A normally distributed population has a population mean ? = 40 and standard deviation ? = 5. What…

A: It is an important part of statistics . It is widely used .

Q: 16.)Find the percent of the area under a normal curve between the mean and the given number of…

A: Since z-value for mean is 0. So the area under a normal curve between the mean and the given number…

Q: Suppose body mass index (BMI) varies approximately to the normal distribution in a population of…

A: Given,Mean(μ)=17.8standard deviation(σ)=1.9

Q: A simple random sample of six values had mean x = 13.00 and standard deviation s = 7.155. Calculate…

A: Given,

Q: 16. A data set of candy bag weights(lbs) has a mean of 8 and a standard deviation of 6.005,…

A:

Q: For a sample with M = 90, a score of X = 88 corresponds to z = -1.00. What is the sample standard…

A: Solution-: Given: M=90, X=88, z=-1 We want to find the sample standard deviation?​

Q: . For a population with = 8, a raw score of X = 43 corresponds to z = -0.50.  What is the mean for…

A:

Q: A variable is normally distributed with mean 6 and standard deviation 2. Find the percentage of all…

A: It is given that the mean is 6 and standard deviation is 2.

Q: Suppose X is normally distributed with mean ?=46 and standard deviation ?= 12. Calculate the z-score…

A: Given that, Mean = 46 Standard deviation = 12

Q: 4. First find the difference between the measured value and the mean, then divide that difference by…

A: Given, z-score = 0.875 standard deviation = 0.0008

Q: 3.8 kg 2.6 kg 5.9 kg 7.2 kg 4.5 kg

A: Given that, μ=3.41 kgσ=0.55 kg Assume that baby was born today whose weight represents the 97.5th…

Q: Given the sample mean= 62 and sample standard deviation = 8. Find the z-scores that correspond to…

A: Given the sample mean=62 and sample standard deviation=8. We need to find the z-scores that…

Q: . Tree heights: Cherry trees in a certain orchard have heights that are normally distributed w mean…

A: According to the given information in this questionWe need to answer two parts

Q: A distribution of scores has a mean of = 200. In this distribution, a score of X = 250 is located 50…

A: Given data,Mean μ=200score X=250

Q: A normal distribution has  ? = 28 and   ? = 5. 1. Find the z score corresponding to x = 41. (Enter…

A: Given Information: u = 28  s = 5

Q: 1. For a chi-squared distribution, find (a) X .005 when v = 5; (b) x .05 when v = 19%; (c) X.01 when…

A: (a) To find Χ20.005​ for a chi-squared distribution with v = 5 degrees of freedom, we can use…

Q: Suppose X has a normal distribution with mean 30 and standard deviation five. Between what values of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

Q: If the mean of x bar is equal to 15.3 and the standard deviation of x bar is 1.20, what is the…

A:

Q: 1. IQ scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: Suppose X is normally distributed with mean ?=56 and standard deviation ?= 7. Calculate the z-score…

A: Given that, Mean = 56 Standard deviation = 7

Q: deviation of 50 feet. Let X = distance in feet for a fly ball. Find the 80th percentile of the…

A: Solution

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.