population of values has a normal distribution with and . You intend to draw a random sample of size . Find the probability that a single randomly selected value is greater than 87.2. P(X > 87.2) = Find the probability that a sample of size is randomly selected with a mean greater than 87.2. P(M > 87.2) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Q: Assume the random variable X is normally distributed with mean μ =50 and standard deviation o=7.…

A: From the provided information,Mean (µ) = 50Standard deviation (σ) = 7

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those…

A: μ = 100σ = 15 X = 115

Q: A group takes a Personality test of Extraversion and they all take the test. They find that the…

A: It is given that the mean and standard deviation are 50 and 10, respectively.

Q: A factory produces bars of chocolate that follow a Normal Distribution with a mean weight of 70g and…

A: Given that.  X~Normal( μ = 70 , ?2 = 9) μ =70 , ?=3

Q: A regulation golf ball should weigh 45 grams. A company produces golf balls for the PGA. To help…

A:

Q: Find the proportion of Normally distributed observations with a zz-score below -1.53.

A: It is given that the z-score below -1.53.

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: The following information has been given: Let X be a normally distributed random variable that…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Given that:Z is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 By using…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: We have given that  X~N( 0 , 1 ) mu=0 , sigma =1 Z-score =(x-mu)/sigma

Q: A normal distribution has a mean of u = 100 with o = 20. If one score is randomly selected from this…

A: The random variable X follows normal distribution. The population mean is 100. The population…

Q: The director of research and development testing and new drugs she wants to know if there's evidence…

A: Test statistic:Denote μ as the claimed mean; μ = 384. In a random sample of n = 79, the sample mean…

Q: 4. On a certain standardized test, the population mean is 250 with a standard error of the mean of…

A: Given: Population mean, μ=250Standard error of mean, σx¯=25

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Let "X" be the IQ score of the adults.

Q: a survey of Town X found an average of 3.2 perosns per household and a mean of 1.2 televisions. I f…

A:

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the…

A: It is given that The cumulative area is 0.051

Q: Table of numbers of girls and probabilities Number of Girls x P(x) 0.006 0.026 0.106 0.213 4 0.274…

A:

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Here, µ=0°C, σ=1.00°C.

Q: The population of a country follows a normal distribution with mean height 180 cm and standard…

A:

Q: The lives (in hours of continuous use) of 100 randomly selected flashlight batteries are: Interval…

A: According to the given data, first form the following table:IntervalFrequency(fi)Midpoint(xi…

Q: Use a table of cumulative areas under the normal curve to find the​ z-score that corresponds to the…

A: The cumulative area is 0.047.

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A:

Q: Solve for the mean, variance and standard deviation

A: here given discrete probability distribution of x

Q: State whether the z score locates the raw score X within a sample, or within a population. For every…

A: Note: According to bartleby experts question answers guidelines an expert can solve only first three…

Q: How likely it is that a mean from a particular sample is representative of the population is defined…

A: Given Options: t-score F-statistic z-score p-value A p-value is a statistic that is used to test a…

Q: Listed in the data table are IQ scores for a random sample of subjects with médium lead levels in…

A: The IQ scores are Medium lead level High lead level 72 n2=11 x2=91.088 s2=10.092 97 92…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Given that  Z follows standard normal distribution with mean zero and standard deviation one  Z ~…

Q: The middle 95% of a group of 1000 students got scores ranging from 50 to 90 on a math test. If the…

A: Normal Distribution: Understand the properties of the normal distribution, including the mean (μ)…

Q: Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the…

A:

Q: Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test…

A:

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: GivenMean(μ)=0standard deviation(σ)=1

Q: A factory produces bars of chocolate that follow a Normal Distribution with a mean weight of 60g and…

A: 5) The mean is 60 and the standard deviation is 2.

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: onsider yourself as a Math tutor to Grade 11 students. Study carefully the examples of real-life…

A: Real-life problem: A company produces light bulbs that have a mean lifespan of 2000 hours and a…

Q: Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the…

A: from given data we have : z-score = 0.051

Q: 4. Entry to a certain University is determined by a national test. The scores on this test are…

A: Given: μ = 500 σ = 100

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Mean = 0 Standard deviation = 1