The mean time taken by all participants to run a road race was found to be 125 minutes with a standard deviation of 20 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 65 to 185 minutes. Round your answer to the nearest integer. ! %

Q: The 6 participants in a 200-meter dash had the following finishing times (in seconds). 24, 30, 26,…

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Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: X follows a Normal distribution with mean = 51.6 and S.D = 2.5 Then z=(x-mean)/SD = (x-51.6)/2.5…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A:

Q: The following data are the distances from the workplace (in  miles) for the 5 employees of a small…

A: The distances from the workplace (in miles) for the 5 employees of a small business are given as:…

Q: A quiz consists of 20 true or false questions. If the student guesses on each question what is the…

A: Solution: Let X be the number of correct answers and n be the number of questions. Since the…

Q: find the standard deviation, for the binomial distrubution which has the stated values of n and p.…

A: Given Information: n = 38 p = 25=0.4 To find the standard deviation for the binomial distribution:…

Q: Assume that weights of men are normally distributed with a mean of 160 pounds and a standard…

A: Given, Weights of men follows normal distribution with mean 160 pounds and standard deviation 25…

Q: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is…

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: There are 15 numbers on a list, and the mean is 25. The smallest number on the list is changed from…

A: The numbers in the list is 15, the mean is 25 and the smallest number is changed from 12.9 to 1.29.

Q: Find the standard deviation, σ, for the binomial distribution which has the stated values of n and…

A: n = 48; p = 3/5 X ~ N(n, p) Standard deviation = npq                                = 48×35×25…

Q: Find the standard deviation, , for the binomial distribution which has the stated values of n and p.…

A: The standard deviation for the binomial distribution is given by,

Q: A sample of the number of sick days used by employees at a clinic is as indicated: 0,    0,    1,…

A: Given data 0,0,1,1,2,4

Q: The probability that an individual is left handed is 0.15 in a class of 60 students. What is the…

A: Given data: The given probability is p=0.15. The numbers of students are n=60. The expression for…

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A:

Q: Ten percent of the world's population is left-handed. A researcher claims that left-handed…

A:

Q: Find the standard deviation for the group of data items. Stems Leaves 1 899878 2 1122 The standard…

A: Using the stem and leaf plot, the data set is, 18, 19, 19, 18, 17, 18, 21, 21, 22, 22 The no.of…

Q: A researcher who she’s to estimate within $2 the average repair cost for a refrigerator.  if she…

A: From the provided information, Population standard deviation (σ) = $15.25 Confidence level = 95%…

Q: Find the standard deviation for the number of girls in groups of 14 births when p = 0.5

A: Binomial probability distribution is a type of discrete probability distribution.

Q: find the standard deviation, for the binomial distrubution which has n=48 and p=3/5. Round answer to…

A:

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: Given : Let, X = Wingspans of butterflies  X~N(μ=52.6,σ2=(2.9)2)  We want to find, (a)…

Q: In a mango farm of 250 trees, the mean harvest is 96.5 kilos of fruit per tree with a standard…

A: Given,sample size(n)=250mean(μ)=96.5standard deviation(σ)=8.4

Q: Here are the number of hours that each of a group of students studied for this exam: 2 4 22 2 1 4 1…

A: Solution Number of samples (n) = 10 Let "X" be the number of hours that each of a group of students…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: Consider X be a random variable which follows normal distribution indicates the distance of fly…

Q: A researcher wishes to determine how much money per week is spent on groceries in a small Western…

A: Given : ME< 3.0 σ= 18.0 At 98.0 % confidence level , z score= 2.326 Need to find the minimum…

Q: Suppose that the lengths of human pregnancies are normally distributed with a mean of 266 days and a…

A: GivenMean(μ)=266standard deviation(σ)=17

Q: Suppose that in College Entrance Test, the cutoff score for passing is 85. If the mean of the test…

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Q: Suppose the test scores of 600 students are normally distributed with a mean of 76 and standard…

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Q: Determine whether each statement below is true or false. About 68% of the data lies within one…

A: To determine whether the given statement is true or false.

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: From the provided information, Mean (µ) = 260 days Standard deviation (σ) = 16 days X~N (260, 16)

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: We have given that  X~N(mu,sigma ^2) mu=17,sigma =4 Z-socre =(x-mu)/sigma

Q: The following are that scores of 20 students who took a calculus exam. Find the mean and standard…

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Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A:

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: On a nationwide math test, the mean was 58 and the standard deviation was 4. If Roberto scored 70,…

A:

Q: The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55. Using Chebyshev’s…

A: Here, The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55. Chebyshev’s…

Q: A health care professional wishes to estimate the birth weights of infants. How large a sample must…

A:

Q: In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national…

A: It is given that M=62.6, μ=63.8 and σ=2.66. The z-statistic is calculated asz=M-μσ/nwhere M is the…

Q: A test consists of 980 true or false questions. If the student guesses on each question, what is the…

A:

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: Solution: a. Let X be the wingspans of a group of monary butterflies. From the given information, X…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: Given data,Mean μ=247sd    σ=53

Q: If you buy one ticket everyday for 365 days, find the mean and standard deviation for the numbers of…

A:

Q: The following data give the speeds (in kilometer) as measured by radar of 5 selected cars traveled…

A: The data shows the speeds (in kilometer) as measured by radar of 5 selected cars traveled at NLEX.

Q: A test consists of 260 true or false questions. If the student guesses on each question, what is the…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in…

A: Given Sample size (n) =305

Q: Ten percent of the world's population is left-handed. A researcher claims that left-handed…

A: Given: n=900 and p=9%=0.09. a) The mean of p^ is μp^=p=0.09

Q: The average score on a test of 40 students has a mean score of 53 and a standard deviation of 6. At…

A: Answer - The average score on a test of n = 40 Student has a mean score μ = 53  and σ = 6…

Q: The mean weight of 1000 students at a certain high school is 140 pounds and the standard deviation…

A: Assuming that the weights are normally distributed.

Q: Sixteen percent of the world's population is left-handed. A researcher claims that left-handed…

A: a) mean (p) = 0.16 , q = 1 - 0.16 = 0.84 , n =2100

Q: On a multiple choice test with 43 questions, each question has five possible answers, one of which…

A: The probability any randomly selected question will be correct will be: p=15   Consider X be the…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.