Suppose that the average number of Facebook friends users have is normally distributed with a mean of 119 and a standard deviation of about 48. Assume forty-three individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 43, find the probability that the average number of friends is less than 112. Find the third quartile for the average number of Facebook friends.

Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…

A: Solution: Let X be the average percent of fat calories. From the given information, X follows normal…

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

A: Given data:  mean = 0°C and  standard deviation =  1.00°C.  Assume that the readings at freezing on…

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A: Assume that weights of adult females are normally distributed with a mean of 77 kg and a standard…

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A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

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A:

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: he IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one…

A: Given that  Mean=100 SD=15 X = IQ of an individual. The probability that a randomly selected person…

Q: Suppose that the average number of Facebook friends users have is normally distributed with a mean…

A: Given that, Mean=130      Standard deviation=59 Here in the option b they mentioned that group =17.

Q: The mean deviation of the data(1 * :2,9,9,3,6,9,4 from the mean is 2.23 3.23 O 2.57 O 3.57 O

A:

Q: Assume that the heights of women are normally distributed with a mean of 65.4 inches and a standard…

A: We have given that  Mean=μ=65.4 Standard deviation=σ=2.7 X~Normal(μ=65.4,σ=2.7)

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

A: Given Data Population Mean,μ = 0.0 Population Standard Deviation,σ = 1.0

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

A: Given that μ=142σ=13n=49

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

A:

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

A: Let X denote the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: A review of all records in a large vetinary clinic show that indoor domestic cats at the clinic have…

A: Mean () =15standard deviation () =4sample size (n)= 37

Q: Leaf length of a type of flower, in cm, are Normally distributed. It is further given that 0.13 of…

A: The random variable denotes the leaf length of a type of flower in cm, and it is distributed…

Q: Provide all necessary computations and a properly labeled curve in asnwering the following. Sam…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard…

A: We have given that  Mean of 96 and a standard deviation 20.9. X~Normal(μ=96,σ=20.9)

Q: Suppose that iQ scores have a bell shaped distribution with a mean of 103 and a standard devation of…

A: Given: μ=103 and σ=13.   Now, to find where the lowest 32% of IQ scores lie:PZ<z=0.32 Look for…

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A: given data, normal distribution,μ=264.5σ=1we have to find out the average length separating the…

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A: The relative frequency is found by taking the ratio of frequency to the total frequency. So the…

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A: 1. Let x¯ be the average number of Facebook friends users which follows normal distribution. The…

Q: The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and…

A: It is given that, Mean,μ =15 ounces Standard deviation, σ=4.5 ounces

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

A: Given that  A batch of thermometers are normally distributed . Mean ( μ) =  0°C  Standard deviation…

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

A: Let, X: Reading at freezing on a batch of thermometers Assume X is Normally distributed Given: Mean,…

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

A: Given: Mean (µ) = 0oC Standard deviation (σ) = 1.000C X~N (0, 1)

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A:

Q: 4. Given the following distribution: Scores Frequency 145 - 154 7 135 - 144 13 125- 134 28 115 - 124…

A: Given:

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

A:

Q: Assume that an adult female is randomly selected. Suppose females have pulse rates that are normally…

A: Given: Formula: Let "X" be the female pulse rates in beats per minute.

Q: A professor gives a test to her calculus students. The scores are approximately normally distributed…

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

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A: It is given that the mean is 0 and standard deviation is 1.

Q: The weights of the U.S. female athletes at the 2016 Olympics are normally distributed with a mean of…

A: We have give that normally distributed with mean 147, standard deviation

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Q: Calculate z scores from two samples "he tallest living man at one time had a height of 252 cm. The…

A: Given data,Mean is μ=170.25sd is     σ=8.47

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,

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Q: Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is…

A: First find the standardised Z score and the make equivalency

Q: me that the heights of women are normally distributed with a mean of 62.9 inches and a standard…

A: To calculate the 75th percentile of a normal distribution, we used the formula as: X=μ+Zσ Where 'X'…