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: In a random sample of 8 cell phones, the mean full retail price was $529.50 and the standard…

A: It is given that n=8, x=529.5, s=178 and μ=433.99. The degree of freedom=n-1=8-1=7

Q: At a large publishing company, the mean age of proofreaders is 36.2 years, and the standard…

A: Given Data, μ = 36.2σ = 3.7

Q: Assume that the blood pressure data is normally distributed with a mean of 70.2 and a standard…

A: The variable x¯ is defined as the mean blood pressure levels. The sample size is 16, mean is 70.2,…

Q: Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per…

A: Let , X be the Female pulse rate  In the given , X is normally distributed with mean u = 76 & sd…

Q: (a) Find the percentage of women who should have heights of 63.5 inches or less.    (b) In a…

A:

Q: Assume that the variable is normally distributed, the average time it takes a group of senior high…

A: The normal distribution  in the center is generally denser and basically less dense at tails. There…

Q: In a random sample of 6 cell phones, the mean full retail price was $540.50 and the standard…

A:

Q: A company making cans for lemonade wishes to print 'Average contents x ml' on their cans, and to be…

A: From the provided information, Standard deviation (σ) = 3.2 ml Sample size (n) = 50 Sample mean (x̅)…

Q: A typical home doorway has a height of 80 in. Given that the heights of men are normally distributed…

A: a) Suppose a random variable X, defines the height of men.

Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.53…

A: Given that  Let X denotes the diameter of a brand of tennis  X~N(2.53, 0.04) Sample size (n)=10 Let…

Q: Assume that adults have IQ scores that are normally distributed with a mean of h=100 and standard…

A: Let "X" be the IQ score of the adults.

Q: The heights of all female college basketball players produce a distribution that is approximately…

A:

Q: In a random sample of 8 cell​ phones, the mean full retail price was ​$521.70 and the standard…

A: A random sample of 8 cell​ phones, the mean full retail price was ​$521.70 and the standard…

Q: The average time to be served at a diner is 12 minutes with a standard deviation of 3 minutes For a…

A: Given dada, Mean=12 Stand.devia=3.

Q: Suppose that the average price of potatoes was Tk. 40 per kg last month. A researcher wants to find…

A:

Q: Researchers at a National weather center in the North Eastern United States recorded the number of…

A: To determine whether the data indicate that the past four years have had significantly more 90°days…

Q: In a random sample of 6 cell phones, the mean full retail price was $546.20 and the standard…

A: Given information: n=6x¯=546.20s=187.00μ=430.69 t value: t=x¯-μsn  =546.2-430.691876  =1.513

Q: What is the probability that the 49 fly balls traveled an average of less than 240 feet?

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

Q: Assume that blood pressure readings are normally distributed with a mean of 125 and a standard…

A: We have given , Population mean = 125 , Population standard deviation = 4.7 , Sample size  = 32 ,…

Q: suppose it is known from experience that the standard deviation of the weigth of 10-ounce pakages of…

A: Given: x¯=9.05σ=0.25n=10   Null and Alternate Hypothesis: H0: μ=10 HA: μ≠10

Q: Assume that the blood pressure data is normally distributed with a mean of 70.2 and a standard…

A: Let X denote the blood pressure data and it follows normal distribution with a mean of 70.2 and a…

Q: In a random sample of 7 cell phones, the mean full retail price was $532.50 and the standard…

A: Given that Sample size n = 7 Sample mean = 532.50 Sample SD = 192.00 Population mean = 434.18

Q: Assume that the heights of men are normally distributed with a mean of 66.9 inches and a standard…

A: Let "M" be the mean height of the men.

Q: Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day. To…

A: Given Standard deviations=0.5 n=40

Q: Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an…

A:

Q: Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88…

A: Solution-: Given: μ=47.88,σ=3.09 We find the probability that 4 or fewer bags weigh greater than 50…

Q: Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and…

A: Given that: Mean = 72 beats S. D. = 12.5 beats Sample size (n)  = 25 By using standard normal…

Q: Assume that women's weights are normally distributed with a mean given by μ=143 and a standard…

A:

Q: In a random sample of 10 cell phones, the mean full retail price was $523.30 and the standard…

A:

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: Given that  Mean = M = 98.16 Standard deviation = SD = 0.65 X ~ Normal ( M = 98.16 , SD = 0.65 )

Q: O An electrical firm manufactures light bulbs that have a length of life tha is normally distributed…

A: Given that, Mean, mu= 800 Standard deviation, sigma= 40 We know that, Z Score= (X-mu)/sigma

Q: he weight of the package is normally distributed with a mean of 650 g and a standard deviation of 42…

A: Given that  The weight of the package is normally distributed with a mean of 650 g and a standard…

Q: Suppose the lengths of loaves of rye bread produced at a bakery are normally distributed with a mean…

A: Given information: The mean is 25 and the standard deviation is 4. That is, μ=25σ=4 We need to find…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A:

Q: A certain species of fish is said to have an average lifespan of 2.5 yrs, with a standard deviation…

A:

Q: A certain species of fish is said to have an average lifespan of 2.5 yrs, with a standard deviation…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3)…

Q: If 100 women are randomly selected , find the probability that they have a mean height greater than…

A: Given:μ=63.6σ=2.5n=100

Q: The professor of a introductory calculus class has stated that, historically, the distribution of…

A:

Q: From a sample with n=40​, the mean duration of a​ geyser's eruptions is 3.13 minutes and the…

A: Solution-: Given: μ=3.13, σ=0.82, n=40, (Lower, Upper)=(1.49,4.77) We want to find  at least how…

Q: The arrival schedule of an ETS train from Kuala Lumpur to Sungai Petani follows a normal…

A: Given: X~N(μ,σ)μ=0954σ=7.4 The train is expected to arrive at 0948.

Q: uppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…

A: Given data, μ=0.22σ=0.05P(X≤0.18)=?

Q: The repair time for air conditioning units is believed to have a normal distribution with a mean of…

A: Continuous probability distribution  I used z-table to calculate the probability and quantile for…

Q: The personal office at a large electronics firm regularly schedules job interviews and maintains…

A: Given: Population mean μ=34Population standard deviation σ=7 Sample size(n)  = 9 Consider X be the…

Q: Suppose that a company makes light bulbs with a mean life of 310 hours, and a standard deviation of…

A: Given that, Mean, mu= 310 And standard deviation, sigma= 47 We know that, Z Score= (X-mu)/sigma

Q: cholesterol levels in men aged 18 to 24 are normally distributed with a mean of 178.1 and a standard…

A: Consider a random variable X which represents the serum cholesterol levels in men aged 18 to 24.…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: Let X denote the  body temperatures of a group of healthy adults have a​ bell-shaped distribution…

Q: From a sample with n=36​, the mean duration of a​ geyser's eruptions is 3.36 minutes and the…

A:

Q: Assume that the red blood cell counts of women are normally distributed with a mean of 4.577 million…

A: Given ,mean(μ)=4.577standard deviation(σ)=0.382

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.