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…

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

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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.…

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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: Todd just got back his exam grades in three classes. In biology the class mean was 75.80 with a…

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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…

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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…

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Q: A survey of attendance records shows that high school seniors average 10.5 sick days per school year…

A: Let, x denotes sick days per school year of high school seniors. It is given that- x~N10.5,5.25

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…

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

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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…

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

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

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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…

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

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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

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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: 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 -…

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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: A medical researcher working in a hospital wants to know if there is any variation in the way two…

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Q: The average number of accidents at controlled intersections per year is 4.3. Is this average less…

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Q: Sarah entered her motorcycle in a slow race with 50 other contestants. She crossed the finish line…

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Q: Tom scored a 122 on a measure of math ability and a 39 on a measure of verbal ability. The means and…

A:

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

A: Given information- For Science- Population mean µ = 71.3 Standard deviation σ = 8.9 For English-…

Q: a) Calculate the z-score for Kyle's test grade. b) Calculate the z-score for Caleb's test grade. c)…

A: Formula for z score is

Q: Max scored an 80 on her psychology quiz, but the class as a whole averaged a 40. If the standard…

A:

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

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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.