Suppose that the average number of Facebook friends users have is normally distributed with a mean of 117 and a standard deviation of about 45. Assume forty individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? - N( b. For the group of 40, find the probability that the average number of friends is more than 110. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No

Q: The average amount of money spent for lunch per person in the college cafeteria is $6.2 and the…

A: Here, 43 samples are collected. b.) Hence, if the sample mean is denoted by x, then, x~N(μ,σ2n),…

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: In a Statistics course the professor uses the following grading policy: the bottom 5% of students…

A: Given that  b .Find the probability that a randomly selected student gets an 80 or better? c.…

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

A: The standard normal variable Z is defined as, Z = (X – µ)/σ, where µ is the mean of the random…

Q: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 365…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 40% of romance…

A: Given, Number of words in romance novel follows normal distribution with mean 64,169 and standard…

Q: Private nonprofit four-year colleges charge, on average, $27,628 per year in tuition and fees. The…

A: Given Private nonprofit four-year colleges charge, on average, $27,628 per year in tuition and fees.…

Q: Given that the mean for a data set is 24.8 and the standard deviation is 2.3, find the z-score of…

A:

Q: The heights of women follow a normal distribution with a mean height of 63.7, and a standard…

A: The independent variable is the height of women. The height of women follows normal distribution.…

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A: The given situation follows binomial distribution. The proportion of people born in United States…

Q: Here are the weights of the bass from Tina’s sample: 12, 9, 15, 10, and 11.  We do not know the…

A:

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

A:

Q: Given a set of data that is skewed-right, there is at least % of the data within 3 standard…

A: Given

Q: Assume that the weight of people, measured in pounds, has a normal distribution with a mean of 136…

A: Answer: Given that   ‘x’ is Normally distributed with                 Mean  µ =136       standard…

Q: Women are recommended to consume 1720 calories per day. You suspect that the average calorie intake…

A: As we are authorized to answer only 3 subparts for each question and that you haven't specified…

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

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

A:

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

A:

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

A: The provided information is as follows:The total number of samples is .The data is given as…

Q: a. What is the distribution of ¤? ¤ - N( b. For the group of 12, find the probability that the…

A: a. The mean is 160, standard deviation is 22, and sample size is 12. The distribution of x¯ follows…

Q: Approximately 6% of American drivers d not text while they drive. Suppose you are working with a…

A: The given situation fits binomial distribution as there are 300 independent trials (300 people),…

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

A: xP(x)00.00310.02620.11830.21240.27450.22760.10870.02780.005

Q: Find the indicated probability. The incomes of trainees at tthe local mill are normally distributed…

A:

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

A:

Q: 2. The average credit card debt per household in 2001 was $8637 with a standard deviation of $2400.…

A: population mean = $8637Population standard deviation = 2400Sample size (n)= 225

Q: According to BusinessWeek, 44% of advertisers claim they have been a victim of internet click fraud.…

A: The mean is, μ=np=120×0.44=52.8 The mean is 52.8. The standard deviation is,…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: 50 part-time students were asked how many courses they were taking this term. The (incomplete)…

A: Hi, we are supposed to answer three subparts at a time. Therefore, I am answering the first three…

Q: As part of a study, 800 college football players are randomly chosen and their weights taken. The…

A:

Q: Which data set would give the smallest standard deviation? Select one: O a. 100, 150, 200, 250, 300}…

A: Without using any formula for the standard deviation, we can determine which of them has a smallest…

Q: The salaries of 1200 pro athletes form a normal distribution with a mean of $79,000 and a standard…

A: For the distribution of the salaries (in $) of 1200 pro athletes, which is defined to be normally…

Q: The average amount of money spent for lunch per person in the college cafeteria is $5.54 and the…

A: Solution: b. Let X be the money spent. From the given information, X follows normal distribution…

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

A: