In a surprise checking of passenger in a local bus, 20 passengers without ticket were caught. The sum of squares and standard deviation of that amount found in their pocket were Rs. 2000 and 6 respectively. If the total fine imposed is equal to the amount discovered from them, and fine imposed is uniform. Find amount of fine to be paid by each passenger.

Q: The mean marathon finishing time for men and women was 268 minutes and 280 minutes respectively.…

A: From the given information, The mean marathon finishing time for men and women was 268 minutes and…

Q: The mean IQ of 500 data science students is 151  and the standard deviation is 15. Assuming that the…

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Q: The mean monthly salary of 32 men is P28,500 while that of 38 women is P24,400. Find the mean salary…

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Q: The mean life of pairs of shoes is 40 months with a standard deviation of 8 months If the life of…

A: The random variable X is the life of shoes It is normally distributed. The mean life of the pair of…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: Find the standard deviation of the observations 5, 11, 18, 25 and 41, using mutual differences…

A: Given: data data values  Xi: 5,11,18,25,41  Then to find standard deviations using mutual difference…

Q: At Northwest Nursing School, the average score a student must make on and entrance exam is 142…

A: The objective of this question is to find the cutoff score that a nurse must make to be considered…

Q: A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober…

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Q: The average score on the Stats midterm was 70 points with a standard deviation of 6 points,…

A: Given that.   X~N( μ , ?)   μ=70    , ?=6  , Z-score = -1   Z-score =( x - μ )/?

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: The mean and standard deviation of a set of 100 observations were Worked out as 40 and 5…

A: We have given that Number of observations(n)=100  Corrected mean=40 Standard deviation=5  Mistaken…

Q: Lazurus Steel rporation produces iron rods that are supposed to be 36 inches long. The machine that…

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Q: The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20.…

A: We have to find given probability.

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: does the range and standard deviation remain unchanged because the addition of 7 is a constant so…

A: given data  mean = 74 median = 76.5 range = 65 standard deviation = 11 add 7 points to each score…

Q: Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine…

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Q: Suppose the rate of misprints in the printed text from a given publisher is three misprints per one…

A: The question is about discrete probability distribution.Introduction :1 ) Let, X be discrete random…

Q: If the standard deviation of a data is 14.50 and if each value of the data is decreased by 5, then…

A: Given : Old standard deviation = 14.50

Q: The scores on two standardized tests are normally distributed. The first test had a mean of 50 and a…

A: Let I will need score = k on the second test to equal a score of 62 on the first test.  z score of…

Q: acher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10% will…

A: Given that  A teacher wishes to give  A’s to the top 8%  of the students F’s to the bottom 8% of the…

Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…

A: From the given information, Mean height (µ) = 62 inches Standard deviation (σ)= 4 inches Thus, the…

Q: Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine…

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Q: Why is the sum of the sum of six deviations -2, -1, -1, -1, 0, 5 when added =0?

A: Solution:It is one of the property of sample mean that the sum of deviations above average and the…

Q: A student scores 80 in math which has a mean of 70 and standard deviation of 10. He also scores 85…

A: GivenStudent scores 80 in math with Mean(μ)=70standard deviation(σ)=10student scores 85 in english…

Q: Find the area of the shaded region. The graph to the right depicts scores of adults, and those…

A: normal distribution curve is given μ = 100σ = 15area shaded to the left of 120.

Q: The United Nations stores statistics about all the live births in the United States. The latest data…

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Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…

A: Solution: Let X be the age of senator. From the given information,

Q: A California lake has been stocked with rainbow trout. These trout have an average length of 24…

A: Given Information: Mean μ=24 Standard deviation σ=3 Someone goes fishing and catches a trout that is…

Q: A student obtained the mean and standard deviation of 100 observations as 40 and 5 respectively. It…

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Q: On a multiple choice test with 10 questions, each question has four possible answers, one of which…

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Q: If the mean of examination scores for two classes of the same level: A and B, in a certain school…

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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.