Suppose that the average number of Facebook friends users have is normally distributed with a mean of 146 and a standard deviation of about 58. Assume fifty individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ē - N( b. For the group of 50, find the probability that the average number of friends is less than 137. c. Find the first quartile for the average number of Facebook friends.

Q: The population of weights for men attending a local health club is normally distributed with a mean…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose the population of IQ scores in the town or city where you live is bell-shaped, with a mean…

A: Solution-: Let, X= the population of IQ scores in the town Given: We find mean and standard…

Q: It takes an average of 8 minutes for blood to begin clotting after an injury. An EMT wants to see if…

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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 distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Solution: Let X be the time a patient of a medical center spends waiting for an appointment. From…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A:

Q: From 1776-1800, the average age of first marriage for a male in Western Europe was 26.4 years, with…

A: The question is about normal distributionGiven :Average age of first marriage for males ( ) = 26.4…

Q: Assume that the number of pieces per bag has a mean of 264 with a standard deviation of 3. use the…

A: Given :  the number of pieces per bag has a mean of , μ=264  a standard deviation of , σ =3   We…

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: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

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

Q: The salaries of a company's employees are normally distributed with mean 15000 and standard…

A:

Q: It takes an average of 11.2 minutes for blood to begin clotting after an injury. average will…

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: what percent of the students scored higher than 68?

A: It is given thatMean, μ = 70Standard deviation, σ = 3Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: The average age of senators in the 108th Congress was 60.5 years. If the standard deviation was 13.5…

A:

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: particular fruit's weights are normally distributed, with a mean of 395 grams and a standard…

A: We have given that Mean=395

Q: William revealed that he makes 1,000,000 dollars annually. The average annual income in the country…

A:

Q: Energy consumption for single family comes is a mean of 1050kw and standard deviation of 218kw. Find…

A: Given information- Population mean, μ = 1050 kw Population standard deviation, σ = 218 kw We have to…

Q: The phenomenal data shows that the average of a player is 41 runs and mean score of team is 50 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: It takes an average of 8 minutes for blood to begin clotting after an injury. An EMT wants to see if…

A: Solution:- from given information claim:  if the average of 8 minutes will increase if the patient…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 70…

A: We are reauthorized to answer three sub parts at a time, since you have not mentioned which part you…

Q: ticular fruits weight are normally distributed with a mean of 285 grams and a standard deviation of…

A: According to the sum, A particular fruit weight is normally distributed with a mean of 285 grams and…

Q: Sally had a z score of +0.25 on a test with a mean of 62 and a standard deviation of 5. What was her…

A: From the provided information,Z score = +0.25

Q: find standard deviation if range is 3.

A: Given: Range = 3

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX<130+PX>250=P…

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: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

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: he scores of adults on an IQ test are approximately Normal with mean 100 and standard deviation 15.…

A:

Q: The IQ’s in a certain population are normally distributed with a mean score of 104 and a standard…

A: It is given that the scores follow normal distribution with mean 104 and standard deviation 14.…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 107 and a standard…

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Q: The amount of time people spend at the gym follows a uniform distribution from 45 to 90 minutes.…

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Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Assume that the test scores for a large class are normally distributed with a mean of 64 and a…

A: Solution-: Given: We find P(the class received a higher score than 78)=?

Q: THE SCORES ON THE SAT MATH HAD A MEAN OF 431 AND A STANDARD DEVIATION OF 117. What percent of…

A:

Q: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random sample…

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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: Suppose the mean length of songs played on a radio station is 190 seconds with a standard deviation…

A:

Q: An exam score has a mean of 504 and standard deviation of 90.  What exam score coresponds to a…

A: given data, An exam score has a mean of 504μ=504standard deviation of 90.σ=90  exam score(x)…

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.