Runner’s World reports that the times of finishers in a 10 km run are normally distributed with a mean of 61 min and a standard deviation of 9 min. The fastest runner finishes in under 43 min. What percentage of runners are in this fastest group?

Q: percentage of," 2013). Consider a group of 200 people. Find the mean and the standard deviation of…

A: Let a random experiment be performed repeatedly. Let the occurrence of an event in a trial is called…

Q: One prominent physician claims that 80% of those with lung cancer are chain smokers. Compute the…

A: Here, we can consider that it is Binomial distribution because  80% of people has lung cancer and…

Q: Describe the properties of range, mean deviation, and standard deviation.

A: Properties of range:- 1.) The value of range is always non-negative. (either positive or equal to…

Q: 1) Find the mean and standard deviation of the number of seconds the subjects stay balance for each…

A: Mean: Mean is defined as the ratio of sum of all values to the total number of all values Standard…

Q: 3. The length of a iron bar is measured by a number of different observers and the following set of…

A: Arrange the given data in ascending order301,302,302,303,303,304,305,307,309,310,311,312

Q: Define range, interquartile range, variance and standard deviation.

A: Range: The range is the difference between the maximum value and the minimum value. Range = maximum…

Q: The highway mileage (mpg) for a sample of 8 different models of a car company can be found below.…

A:

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: A distribution consists of three requencies 250, 300, 350 having neans 30, 15 and 20 and standard…

A: We have given that  Size N1=250 , N2=300, N3=350 Sample mean xbar1 =30 , x2=15 , x3=20 Standard…

Q: An IQ exam has a mean of 110 and a standard deviation of 12. What percent of people have an IQ score…

A: Given mean= 110 Standard deviation=12 We know that Z=X-mean/standard deviation

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: Use Chebyshev's theorem to solve the problem. Find the least possible fraction of numbers in a data…

A: Consider that a random variable X has expected value μ and standard deviation, σ. Now, according to…

Q: Assume that men's heights are normally distributed with mean 69.2 inches and standard deviation 2.9…

A: Let x be the heights of men's which follows normal distribution with mean 69.2 inches and standard…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A:

Q: If the main level of snowfall for Boston Massachusetts is 44 inches per year and the standard…

A:

Q: A flu test shows that about 31% of 90 patients visited hospital in the first week of January had…

A: Given that  n = 90 , p = 31% = 0.31 , q = 1 - p = 1 - 0.31 = 0.69 X ~ Binomial (n = 90 , p = 0.31) X…

Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: A particular fruit's weights are normally distributed, with a mean of 772 grams and a standard…

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Q: A gym class is taking a fitness test. The gym teacher is recording how many sit-ups the participants…

A:

Q: Suppose that the average length of American songs is 245 seconds with a standard deviation of 28…

A: Solution: Let X be the length of American songs. From the given information, X has mean µ=245…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: The mean is 500 and the standard deviation is 100.

Q: Hogie lizards have tail lengths that are normally distributed with a mean of 22.5 cm and a standard…

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Q: Use Chebyshev's Theorem to find what percent of the values will fall between 120 and 150 for a data…

A: The percentage of observations that are within k std dev. of the mean is 100(1-1k2)%

Q: the widget weight have a mean of 61 ounces and a standard deviation of 5 ounces. 99.7 of the widget…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: Chris tested a sample of 20 Brand A electronic engine control modules, and they lasted 48,560…

A: The sample mean and standard deviation for Brand A electronic engine control modules is;…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 269 grams and a standard…

A:

Q: Define "Standard Deviation" and also Find out the Standard Deviation of the given data: 86, 37, 21,…

A: Definition: Standard deviation is a measure of the amount of variation or dispersion of a set of…

Q: The following are ages in years of nine employees of a large company. 46, 22, 35, 26, 22, 53, 33,…

A: The question is about measures Given : Data : 46, 22, 35, 26, 22, 53, 33, 42, 59   To find : Mean…

Q: The following are ages in years of nine employees of a large company. 46, 22, 35, 26, 22, 53, 33,…

A: Given: The sample data is: 46,22,35,26,22,53,33,42,59

Q: mandatory competency test for high school sophomores has a normal distribution with a mean of 329…

A:

Q: The highway mileages of 147 cars are in a file named CARS2.+ These cars are 2003 models. Find the…

A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…

Q: The data represent the number of days off per year for a sample of individuals selected from ten…

A: Solution

Q: When Christian runs the 400 meter dash, his finishing times are normally distributed with a mean of…

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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.