A normal distribution has a mean of u = 80 with o = 20. What score separates the highest 40% of the distribution from the rest of the scores?

Q: your score in the original distribution?

A: Since , the original distribution has a mean 35 and standard deviation is 8 Also , the new…

Q: For a normal distribution, find the percent of scores that lie between the scores having z values of…

A:

Q: above the population mean a raw score is. Then what z-score value separates the highest 70% of the…

A: Given that  Z-score is a measure of how many standard deviations below or above the population mean…

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: What proportion of scores are below z score of 1.0 in a normal distribution?

A:

Q: The grades in an exam have a normal distribution with μ=75 averages and σ=8 standard deviation. The…

A: Let us denote: X= the grades Given that X follows a normal distribution with mean=75 and standard…

Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≥ 90?

A:

Q: On a standardized test with normal distribution, the mean is 85 and the standard deviation is 3.…

A: If 95% lies in the middle then (100-95)%=5% are on the two tails. So one tail has = 5%2=2.5%=0.025z…

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 µ = 80 with σ = 20. What score separates the lowest 30% of the…

A:

Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≤ 72?

A: For a normal distribution, Mean = 80 Standard deviation = 8

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

A:

Q: What proportion of scores in a normal distribution is below Z = -0.75?

A: Required probability is P(Z<-0.75)

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: Based on this graph what was the approximate distribution of the averages?  X~___(___,___)

A: Central limit theorem (CLT): According to CLT, for a given sufficiently large sample size from a…

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: What proportion of scores in a normal distribution fall below z= -1.32 ?

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: What proportion of percentage of the normal distribution lies above z=-1 ?

A: Let Z ~N(0,1). Then, the proportion of the normal distribution lies above z=-1 is P(Z>-1).

Q: What proportion of scores of a normal distribution is less than  z = - 2.15?

A: Obtain the proportion of scores of a normal distribution is less than z = – 2.15. The proportion of…

Q: What proportion of the scores in a normal distribution falls below z= -1.32?

A: Let X ~ N(0,1). Then, P(X<-1.32)=P(X>1.32)  [ As X is symmetric about…

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

A:

Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…

A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

A: Given a normal distribution with mean = 40Standard deviation = 10The Z score for any data point X is…

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

A: The following is the formulae for z-score                       i.e., z=X-μσ Here, X is variable…

Q: The grades on a test follow a normal distribution with a mean mark of 70 and a standard deviation of…

A:

Q: What proportion of a normal distribution is located between the mean and z = 1.40?​

A: From the given information, Mean of standard normal distribution is zero and standard deviation is…

Q: In a normal distribution, mean is 60 and standard deviation is 5. How many of the cases have scores…

A: The probability between two specific numbers a and b in a normal distribution with mean μ and…

Q: For a normal distribution, find the z-score location that divides the distribution that separates…

A: From the given information, It has been given that, P (Z<z) = 0.40 Using the inverse probability…

Q: Find the 30th and 98th percentile values of a normal variable with Mean of 12 and Variance of 3 (if…

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

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: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

Q: What proportion of a normal distribution is located between the mean and z = -0.47?

A:

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: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: The random variable X follows normal distribution with mean 50 and standard deviation 10. The…

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: What proportion of scores are above z score of 0 in a normal distribution?

A: From the provided information, The proportion of scores are above z score of 0 in a 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: On a test that has a normal distribution, a score of 60 falls one standard deviation above the mean,…

A: Given that the test score has Normally distributed.  A score of 60 falls one standard deviation…

Q: A normal distribution has a mean of µ = 80 with σ = 20. What score separates the highest 40% of the…

A: The given distribution is normal with mean 80 and standard deviation 20.

Q: The quartiles of any distribution are the 25th and 75th percentiles. About how many standard…

A: 25th Percentile = P(Z <z ) = 0.25 For normal table  P(Z < -0.67 ) = 0.2514 Hence, 25th…

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 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: In a normal distribution, what z-score value separates the highest 90% of the scores from the rest…

A: Z  score : A z-score describes the position of a raw score in terms of its distance from the mean,…

Q: The mean is the 50th percentile of any normal distribution.  True  False

A: The mean is the 50th percentile of any normal distribution.

Q: In a normal distribution, what is the percentage of data having a z score less than -1?

A: Obtain the percentage of data having a z score that is less than –1. The percentage of data having a…

Q: The ratio of the mode of this distribution to the median is:

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: For a random sample of 10 men, the mean head circumferences are x-bar = 57.3 cm, and the sample…

A: Given data:   The given sample size is n=10. The given mean head circumference is x=57.3 cm. The…

Q: The grades in an exam have a normal distribution with µ=75 averages and o=8 standard deviation. The…

A: Z = x - μσ~N(0,1)

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.