Four students have applied for a scholarship and only one can be selected.  The students have taken a battery of seven tests and all have exactly the same average score. The standard deviation of their scores are: Student A = 3.12, Student B = 0.27, Student C = 13.45, Student D = 6.45   If consistency of performance is a criteria for acceptance, which of the four students should be selected? And why? Justify your reasoning.

Q: The average exam score of a physics class is 75 points with a standard deviation of 3 points. Peter…

A: Given information Mean µ= 75 Standard deviation σ = 3 Peter’s score x = 72

Q: For the mathematics part of the SAT the mean is 514 with a standard deviation of 113, and for the…

A: According to the given information in this questionWe need to identify the correct option

Q: Instruction: Solve the following problem: Records show that the performance of male college…

A: We have given that  Average  Male 93.45% Female 87.42% Standard deviation  4.35% and…

Q: In a neighborhood donut shop, one type of donut has 330 calories, three types of donuts have 400…

A: In a donut shop one type of donut has 330 caloriesthree types of donuts have 400 caloriessix types…

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: The weight of a truck tire must be 110 lbs. The company has a low specification limit of 100 lbs.…

A: The mean weight of a truck tire = 110 lbs Lower specification limit (LSL) = 100 lbs Upper…

Q: The mean and standard deviation of a data set are 5 and 7, respectively. If each observation in the…

A: From the provided information, Mean (x̄) = 5 Standard deviation (s) = 7

Q: The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test…

A: Given,mean(μ)=22.2standard deviation(σ)=4.9

Q: Calculate the z-score for Jacqueline's test grade. z=z= [Round your answer to two decimal places.]…

A:

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

A: Note: Hi there! Thank you for posting the question. Here to avoid the plagiarism issue we have used…

Q: At the end of the semester a professor wants to organize student’s grades by how many students…

A: Given data, At the end of the semester a professor wants to organize student’s grades by how many…

Q: Mary took 4 courses last semester: Calculus, Physics, Biology, and History. The means and standard…

A:

Q: The mode score on a statistics exam was 83. Which of these interpretations is correct? A.More…

A: Given information Mode score on a statistics exam = 83 Mode = The number having highest frequency is…

Q: Provide a set of 20 data points that has a mean of 20, a median of 25, an IQR of 10, and a sample…

A: Data should have mean of 20, a median of 25, an IQR of 10, and a sample standard deviation between 9…

Q: test in Science and earned a 66. Use the fact that all the students' test grades ad a mean of 75.9…

A: Given For Janai X=78.6 Population Mean=75.9 Population standard deviation=9.4 For Roscoe Population…

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

A: Note: Hi there! Thank you for posting the question. To avoid the Plagiarism issue we have used the…

Q: During one of the Kahana Resort’s “Trivia Nights,” 480 guests took the test on “Island Trivia.”  The…

A: Introduction: Define X as the random variable of interest here, which denotes the score obtained by…

Q: ather drops his three children off at the movie theater and give nd on a movie and concession…

A: let X1,x2,x3 be the three children. A father drops his three children off at the movie theater and…

Q: 5 students were given a test. The average and standard deviation of the 5 scores were found to be…

A:

Q: Joey took examinations in Algebra, Physics, Chemistry and English and scored 84, 79, 88 and 93…

A:

Q: standardized algebra test in different states. Kaitlyn takes the test for Virginia and scores a 458.…

A:

Q: Members Best Investment Bank created a global product. The research team found the product mean was…

A: The given mean is 123 and standard deviation is 46.

Q: a student had 93% in chemistry had a class average of 85% and standard deviation of 8%. the same…

A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Q: Steven ran the 100 meter dash in 13 seconds.  What is his T-score if the class mean was 14 seconds…

A: t statistic

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: Lisa took 4 courses last semester: Physics, Biology, History, and Calculus. The means and standard…

A: Lisa took 4 courses last semester, we need to convert Lisa's scores into z-scores. Since, z-score =…

Q: axine and Jeremiah began arguing about who did better on their tests, but they bulant decide etter…

A: Given that.   X~N( μ , ?)   Z-score =( x - μ )/?

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

A: Given information English class Bill Marks x = 66.3 Mean µ = 66.8 Standard deviation σ = 10.5 Social…

Q: Nick takes a Organic Chemistry test and scores a 40. The Chemistry test scores were normally…

A: Given The data is as follows: Nick's organic chemistry score, X=40 μ=50σ=4   Sally's physics…

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

A: GivenDeAndre earn in science=81.2Jonah earn in Art History=61.9For science Mean(μ)=72.2standard…

Q: Use the sample mean(78.5)and sample standard deviation (12.3671)in your calculations below. Use…

A: Given information:

Q: For a statistics test the mean is 63 and the standard deviation is 7.0, and for a biology test the…

A: We know that ,Z-score=x-μσ

Q: The mean score on the ACT test was 21.5 and the standard deviation was 5.0. The mean score on the…

A: ACT score μ1 = 21.5σ1 = 5.0x1 = 26SAT score μ2 = 515σ2 = 100x2 = 605 which score will relatively…

Q: Three students were applying to the same graduate school. They came from schools with different…

A: Given: Data on GPA of three students applying to the same graduate school. The z score for Thuy with…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7

Q: An exam is given to all three people in an accounting department.  On this exam, the mean is 102 and…

A: According to the given information, we have Mean = 102 Standard deviation = 7.5

Q: A student scored 31.9 on the mathematics section of the American College Test. The mean score for…

A: From the provided information, Mean (µ) and standard deviation (σ) of ACT exam score are 16 and 9.6.…

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

A: Salome's test grade: Mean = 73.7 , Standard deviation = 10 Social studies = 80.8 Latasha's test…

Q: Three potential employees took an aptitude test. Each person took a different version of the test.…

A: From the provided information, Pierce got a score of 71.5 with mean (µ) = 62.5 and standard…

Q: CO LO Translate Mikayla and April began arguing about who did better on their tests, but they…

A: Solution The one who have a  higher  score did better.

Q: The year Lamar graduated college, he got a job as an entry-level software engineer working for a…

A: To find the z-score of Lamar's starting salary relative to the starting salaries of all entry-level…

Q: For standard deviation, the x-x or the y-y, which numbers do you use?

A: Please find the explanation below.

Q: 3. In many parts of the northern United States, two color variants of the Eastern Gray Squirrel -…

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

Q: Given the spot speed of 20 vehicles on a certain traffic section. Use 8 classes. Determine: a. The…

A: Please find the explanation below. As asked by you, I have answered the questions (a) and (b).

Q: Write missing values in the statements a. and b. Write proper names in the statement c. Alex and…

A: Alex ACT testu =25Sd = 5Xact = 20Bores SAT testu = 1150Sd = 50Xsat = 1050

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…

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.