A standardized test has a mean of 50 and a standard deviation of 4. Which of the following is the picture of the Normal Distribution curve?

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given information Mean µ = 150 Standard deviation σ = 10

Q: If you know that you have data that follows a normal distribution with a mean of 75 and standard…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

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: A significant number of students completed a Statistics exam, and the final marks had a mean of 70…

A: Answer - A significant number of students completed a Statistics exam, and the final marks had a…

Q: the variance and standard deviation are based on the________________?

A: Variance, standard deviation and mean deviation:Variance is the average of squared difference of…

Q: Given a uniform distribution with endpoints 4 and 22: What is the mean?        What is the…

A:

Q: Under what conditions can the mean of the sample be treated as a value that is from a population…

A: From the above data  under what conditions can the mean of the sample be treated as a value that is…

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: Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score of…

A: Introduction:Consider X as a normally distributed random variable, with mean μ and standard…

Q: In a Normal distribution 7% items are under 35 and 89% are under 63. Find its mean and standard…

A:

Q: A normal distribution has a mean of 20 and a standard deviation of 4. Determine the z-score for the…

A: Given that a normal distribution has a mean of 20 and a standard deviation of 4.  We need to…

Q: What is the mean of the distribution? What is the standard deviation of the distribution?

A: Given Mean1=30 Mean2=27 n1=41 n2=57

Q: If the variance of a distribution is 16, the standard deviation is?

A: Solution: From the given information, the variance of a distribution is 16.

Q: . Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score…

A:

Q: Can you find the mean and the standard deviation with this data?

A: Given: Data on Index finger length for female. Step-by-step procedure to obtain the mean and the…

Q: Which graph shows a normal distribution of student heights with a mean of 170 cm and a standard…

A: Normal Curve :The following are the normal curve properties The normal curve is bell shaped with…

Q: For any normal distribution, about 68 % of the data lie within one standard deviation of the mean.…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: A normal distribution has a mean of 62 and a standard deviation of 12. What is the median?

A:

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

A:

Q: Which of the below data sets has the lowest standard deviation? You do not need to calculate the…

A: The standard deviation is used to calculate the variability of the data set. It tells us that how to…

Q: If a distribution is normal with μ = 60 and σ = 15, what is the z score of 40?

A:

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

A:

Q: In a particular examination, the mean score is 82 and the standard deviation is 3.7. Wha is the Z-…

A: Given that the mean is 82 and standard deviation is 3.7. That is, μ=82σ=3.7

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: A bank loan officer rates applicants for credit. The ratings can be described by a normal model with…

A: Given: μ = ​200 σ = 50

Q: In a normal distribution, 31% of the items are under 45 and 8% are over 64. Find the mean and the…

A: Given Data: Let X represent the variable P(x<45)=0.31 P(x>64)=0.08   X~ Normal μ, σ2   To…

Q: A normal distribution has a mean of 61 and a standard deviation of 15. What is the median?

A: Given, A normal distribution has mean of 61 and standard deviation of 15. Properties of normal…

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: 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: The standard deviation of the sample mean is less than the standard deviation of the population.…

A:

Q: If you draw a sample of 200 from a normal distribution and using the Empirical Rule; how many data…

A: Given dataSample size(n) = 200In normal distribution, as per empirical formulaApplying empirical…

Q: Which of the following histograms could be modeled by a normal distribution?

A: Given ,  The above graph is the right skewed. Therefore it is not the symmetric distribution. Hence…

Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(xs 53)?

A:

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: If a normal distribution has a mean of 18.0 and a standard deviation of 1.2, what value is at the…

A: We have given that normal distribution has a mean of 18.0 and a standard deviation of 1.2.

Q: Assume that a nomral distribution has a mean of 22 and a standard deviation of 7. What percentage of…

A:

Q: The mean in a given set of data is 10.00 and the population standard deviation is 2.50. If the data…

A: The kth percentile implies the value, below which k of the total observations lie.

Q: In a study of 400 people, the mean age is 50 years and the standard deviation of age is 10 years.…

A:

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 148 and a standard deviation of 5. Find the z-score for a data…

A: Solution: Let X be the data value. From given information, X has mean µ=148 and a standard deviation…

Q: Can you find the mean and the standard deviation?

A: To find the mean and standard deviation of the given data: Mean is the sum of observations divided…

Q: At the local liquour store, a single purchase approximately follows a normal distribution with a…

A:

Q: The exam scores of 200 students are distributed normally with a mean of 72 and a standard deviation…

A: Total students = 200 Standard deviation = 10 And distribute mean = 72 We have to find the number of…

Q: The scores of 800 students in a 100-item exam resemble a normal distribution with a mean of 78 and a…

A: Let X be the random variable from Normal distribution with mean (µ) = 78, standard deviation (σ) = 8…

Q: Given an approximately normal distribution with a mean of 175 and a standard deviation of 37,…

A: Given info: Here, mean is 175 and standard deviation is 37.

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of cases…

A: GivenMean(μ)=72standard deviation(σ)=12

Q: Find the mean and standard deviation of the original set of data.

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

A: Given: Average=74 Standard deviation=7 z value for 88th percentile z=1.18(consulting the table…

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of…

A: