Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 146 minutes with a standard deviation of 13 minutes. Consider 49 of the races. Let  X  = the average of the 49 races.  Find the probability that the average of the sample will be between 144 and 149 minutes in these 49 marathons. (Round your answer to four decimal places.) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) Find the median of the average running times.

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: From the provided information, x P(x) 0 0.006 1 0.034 2 0.106 3 0.221 4 0.273 5…

Q: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: Given data,

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: The random variable X is the average of the 49 races. The mean is 142, and standard deviation is 13.…

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A: It is given that the mean and the standard deviation are 15 and 6, respectively.

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A:

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

Q: According to a study done by UCB students, the height for Martian adults is normally distributed…

A: Given,mean(μ)=67standard deviation(σ)=2.3

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A: Given data, Mean=0 sd=1 P(X<x)=0.67 x=?

Q: Q4. Suppose a poll of 15 voters is taken in a large city. The purpose is to determine x, the number…

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Q: ss, the scores on a test are normally distributed. The middle 68% of the scores fall between 74 and…

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A: Solution

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A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Sophia, a yoga instructor at Yoga for You, selected random samples of 210 students from a nearby…

A: Given that, the t-value is 2.63. The sample sizes are n1=210 and n2=210.

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A:

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A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: compare the given values. The tallest living man at one time had a height of 264 cm. The shortest…

A: Mean=173.67Population standard deviation=8.72

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: From the provided information, Mean (µ) = 0 Standard deviation (σ) = 1 X~N (0, 1) Here X be a random…

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

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A:

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Q: Compute the standard deviation of the sampled proportions if p=.4 and n=500. Round to three places.

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A:

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

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A: Given mean female height = 64 inches and standard devaiton = 3 inches.The distance of a data point…

Q: Which among the value approximately equal to P(Z>-1.20) A.) 0.1151 B.) 0.3849 C.) 0.7698 D.) 0.8849

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A: Given,mean(μ)=76standard deviation(σ)=13and X=41

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A:

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A:

Q: The length of a fully grown hibiscus plants is normally distributed and has a mean of 35cm and a…

A: Given that,Mean(μ)=35standard deviation(σ)=4     The random variable  is length of fully grown…

Q: O E atistic is | (Round to two decimal places as needed.)

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Q: The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine…

A: Given, Student Pulse 1 76 2 60 3 60 4 80 5 73 6 80 7 80 8 68 9 73

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A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees…

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Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

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A:

Q: A candy manufacturer has replaced 5.17% of their chocolate bars with a new mystery flavor. Find the…

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A:

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

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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.