Answer the following by using the 68-95-99.7 Rule: 2000 freshmen at State University took a biology test. The scores were distributed normally with a mean of 70 and a standard deviation of 5. 1. Label the mean and three standard deviations from the mean along the bottom of the curve below. Then, color in the 68/95/99.7% pieces of the curve. -3 -2 1- 2. What percentage of scores are between 65 and 75? 3.

Q: Consider a total of 1,000 people. If it was said that within 1 deviation (of the mean) of all people…

A: Using empirical rule, 68% of the data lies within one standard deviation , 95% of the data lies…

Q: The average time to travel to work for a person living and working in Grand Rapids is 17 minutes.…

A:

Q: Given a set of data that is skewed-left, there is at least _____ % of the data within 3 standard…

A: From the given information, Consider, As it has been given that data is left skewed as a result one…

Q: Use the following data to answer the first two questions. The test scores for a sample of five…

A:

Q: If in a data set the observation 78 has z-score equal -0.60 and the observation 88 has z- score…

A:

Q: 3. In regard to the standard deviation you calculated on #2, what is one conclusion you can make…

A: You have asked only question 3. So, the answer is given for question 3 below in the next step.

Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9.  The same…

A:

Q: If the mean of a list of numbers is 16.7 and the standard deviation is 0,

A: Mean is a measure of central tendency. It is one of the most important measures to find out around…

Q: If 40 is added to cach of a set ofr 25 values, the Coefficient of Variation changes to 40 % and if…

A:

Q: Suppose you are told that a computer programmer in Portugal who makes $809.40 has a z-score of -0.50…

A: Solution: It is given that a computer programmer in Portugal who makes $809.40 has a z-score of…

Q: A nurse at a local hospital is interested in estimating the birth weight of infants. How large a…

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population…

Q: Suppose you were told you scored two standard deviation below the mean on a measure where the main…

A:

Q: John got 83 on a test, with a standard deviation of 10.73 and the class mean was 77.1. Paul got 88…

A: From the provided information, John got (X) 83 on a test with a standard deviation (σ) of 10.73 and…

Q: The mean grade of adrian in the final examination in mathematics was 85 and the standard deviation…

A: The mean of a dataset is computed by μ=∑xn, where ∑x is sum of observations and n is the total…

Q: Which of the following values for the population standard deviation would cause a score located…

A: Given different values of standard deviation and we need to select the one which makes value of x to…

Q: If Quiz A has a mean of 7.6 and a standard deviation of 2.0 and Quiz B has a mean of 7.9 and a…

A:

Q: Suppose that the mean of a set of data is 50.2 and the standard deviation is 4.2.  Assume that the…

A: Given  μ=50.2, σ=4.2, h=5.1  We want to find the new mean and standard deviation.

Q: Out of a class of 25 students, 24 took an exam in class and got a mean of 74 points and a standard…

A: Given: Total number of students, n = 25            Number of students who gave the test, n' = 24…

Q: Given that the mean weight of senior high school students is 65kg with a standard deviation of 10kg.…

A:

Q: A student was asked to compute the mean and standard deviation for the following sample of n 5…

A:

Q: 2. Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean…

A: Given that, Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If…

Q: Tanya takes her Physics test and is told that her Z-score is 3.10. If the class mean was 75 and the…

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

Q: How would you find the standard deviation by hand, of the following numbers: 1,1,3,01,6,2

A: Standard deviation:Standard deviation quantifies the dispersion of a data set from its mean. The…

Q: Two students, John and Ali, from different high schools, wanted to find out who had the better GPA…

A: The mean and standard deviation GPA of John are 3.0 and 0.7.

Q: Taylor and Meredith began arguing about who did better on their tests, but they couldn't decide who…

A: A z-score is the standard score that determines how much the data point deviates from the population…

Q: A value of 104.2 would be how many standard deviations above the mean, given a mean of 100, and a…

A: Solution: From the given information, µ=100 and a standard deviation σ=5.6.

Q: For a set of data, μ = 71, X=35, z = -0.60. What is the standard deviation of the population?

A: Given that.   X~N( μ , ?^2 )   μ=71   , ?=?  , X=35 , z=-0.60   Z-score =( x - μ )/?

Q: with M = 85 and s = 12 is transformed into z-scores. After the transformation, what are the values…

A: According to the sum, A sample with M = 85 and s = 12 is transformed into z-scores. M=sample mean=85…

Q: Give the TI commands to find the mean, median, and standard deviation and compare to the original…

A: TI Calculator

Q: John wishes to estimate the population standard deviation of salary of college graduates who took a…

A: Standard deviation is the positive square root of the mean of the squared deviations of given…

Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm

Q: If the standard deviation of a data set was originally 5, and if each value in the data set was…

A: Given that  The Standard deviation is 5

Q: Two baseball players, Fredo and Karl, on different teams wanted to find out who had the higher…

A: Given  For ferdo: Batting average=0.158 Team batting average =0.166 Team standard deviation=0.012…

Q: The mean grade of in the final examination in Mathematics was 85 and the standard deviation was 7.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In a certain test in Calculus, the mean score of a group of 100 students was 30 and the standard…

A: The mean for calculus is 30 and standard deviation is 8, the mean for physics is 52 and standard…

Q: According to a Human Resources report, a worker in the industrial countries spends on average 419…

A: Solution

Q: 2.5% Of scores on a normally distributed college entrance test or below 60% and 2.5% of the scores…

A:

Q: When I need to determine which standard deviation would give the better grade, what if the z-score…

A: If the absolute value of z-score is higher than the other then it will provide better grade.

Q: If the mean is 8.35, and the standard deviation is 2.5, what will be the answer to this? How many…

A:

Q: Florida State University, the mean IQ is 116 with a standard deviation of 14. Given this…

A: In the School of Medicine at Florida State University, the mean IQ is 116 with a standard deviation…

Q: If your score on your next statistics test is converted to a z-score, which of these 2- scores would…

A: Given: Z-scores: -2, -1, 0, 1, 2. The height converts to the z score is=4.07

Q: Suppose you have already calculated the mean, the average deviation, and the standard deviation of…

A: (a) Condition for Average Deviation: If the value of the observation is increased or decreased by a…

Q: Answer the following by using the z-table from class. People spend an average of 7 hours per day on…

A:

Q: Alice was told that her reading test score was one standard deviation below to me if test scores…

A: Given that, Alice was told that her reading test score was one standard deviation below to me if…

Q: 2. Imagine the daily high temperature in Toronto was recorded every day for 14 days in January, and…

A: As we are authorized to answer only question with maximum 3 subparts for each question and that you…

Q: 3. In the qualifying examination for the admittance to college, the mean score was 65 and the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9. The same…

A: Z-score :  The z score measures the number of standard deviations that the values are from the mean…

Q: An article published in the American Journal of Public Health that reported the relation between…

A: Mean = 173.2 SE = 0.2 n = 1243

Q: The mean grade of  Adrian in the final examination in mathematics was 85 and the standard deviation…

A: Mean for mathematics = 85 Standard Deviation for mathematics = 7 Mean for science = 89 Standard…

Q: Suppose the main percentage in algebra is 70% and the standard deviation is 8% What percentage of…

A: Given,  mean value(μ) =70%  standard deviation(σ) = 8%Z=x-μσZ1=62-708=-1Z2=94-708 =3