If grades on a certain test are approximately normally distributed with a mean of 75 and a standard deviation of 10, what percentage of the students receive grades either less than 55 or greater than 95?

Q: On a final  examination in mathematics , the mean was 72  and standard deviation was 15 . Determine…

A: given information: μ=72σ=15x=65 we want to determine the z score . z=x-μσ  =65-7215  =-0.4667

Q: If IQ scores are normally distributed with a mean of 100 and standard deviation of 12, what does…

A: The normal distribution is symmetric in nature having parameters μ and σ.The mean, mode, and median…

Q: A statistics professor gave a final exam to a class of 30 students. The exam scores are normally…

A: Given,mean(μ)=75standard deviation(σ)=10

Q: If a sample has a mean of 150 and a standard deviation of 9, what is the value in the data set that…

A: Given,mean(μ)=150standard deviation(σ)=9Z-score=1.58

Q: If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z score for a…

A: We want to Z-score

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A:

Q: Students receive an A+ on a 60 point test if they score 55 points or more.  The marks of a large…

A: Given: X~N(μ,σ)μ=50σ=5

Q: assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If…

A: Here we need to find x such that P (X>x)=0.01, where X~N(100,15).

Q: How many minutes did it take him to finish the face?

A: It is given that the distribution of finishing time for men was approximately normal with mean 242…

Q: If an adult male is told that his height is within 2 standard deviations of the mean of the normal…

A: If an adult male is told that his height is within 2 standard deviations of the mean.

Q: Sarah's score on the second exam was 34 for which the mean of all scores was 28 and the standard…

A:

Q: A certain standardized tests math scores have a bell shaped distribution with a mean of 525 and a…

A: GivenMean(μ)=525standard deviation(σ)=105

Q: Suppose the exam average in a class is 82% with a standard deviation of 2. What proportion of…

A:

Q: When Christian runs the 400 meter dash, his finishing times are normally distributed with a mean of…

A:

Q: Can the standard deviation of a data set be zero

A: Standard deviation can not be negative.

Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Let X be the random variable from normal distribution with mean (μ) = 103 cm and standard deviation…

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Assume that the test scores for a large class are normally distributed with a mean of 64 and a…

A: Solution-: Given: We find P(the class received a higher score than 78)=?

Q: Suppose the scores of students on an exam are normally distributed with a mean of 253 and a standard…

A: From the provided information, Mean (µ) = 253 Standard deviation (σ) = 80

Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

Q: In a distribution of the test grades with the mean of 25 and the standard deviation of 4, what would…

A: Given,mean(μ)=25standard deviation(σ)=4grade score(X)=32

Q: The ages of the members of a boating club is normally distributed with a mean of 62 years and a…

A: Given that, Mean = 62 Standard deviation = 12

Q: Suppose the mean and standard deviation of the GPAs of all currently registered students at a…

A: Given data,Mean μ=2.70sd     σ=0.50Antionio’s z score = -0.62Beatrice’s z score = 1.28What are their…

Q: The scores on a standardized test are normally distributed with a mean of 85 and standard deviation…

A: Mean()=85standard deviation()=10

Q: Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150…

A: Consider the provided data, Number of children = 300 mean, μ=150standard deviation, σ=12 We need to…

Q: If the weight of fertilizer in a 40-pound bag is normally distributed with a standard deviation of…

A: Define  the Random Variable, X : Weight of fertilizer in the bag. X ~ N(40,0.52) Hence , the mean, µ…

Q: Suppose that the mean IQ score for University Students is 105, with a standard deviation of 7.…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

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.