Age of Senators The average age of senators in the  108th  Congress was  61  years. If the standard deviation was  12  years, find the  z -scores corresponding to the oldest and youngest senators of age  82  and  43 . Round  z  scores to two decimal places.

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 Let X be a random variable…

Q: Age of Senators The average age of senators in the 108th Congress was 58.5 years. If the standard…

A: We have given that  my=58.5 , sigma=14.5  X~N(mu, sigma^2) Z-socre=(x-mu)/sigma

Q: The average age of our class is 22.3 years.  The standard deviation is 4.7 years.  If the variable…

A: Solution: Let X be the average age of class has normal  distribution  with mean μ=22.3 years and…

Q: A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a…

A: From the given information, let X be the eighth-grade students scores. Number of students are…

Q: The weight of miniature donkeys is normally distributed with a mean weight of 265 pounds and a…

A:

Q: ssume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Given that  Assume the readings on the thermometer is normally distributed . Mean  = 0 degree…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days…

A: Given n=30

Q: In a test of a lifelong brand of tires, a survey revealed that the mean life was 35,000 miles and…

A: Solution: 1. Let X be the lifelong brand of tires. From the given information, X follows normal…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 X~N (100, 15) Here X be…

Q: Rachel runs a large animal shelter. At Rachel's shelter, the length of stay for puppies has a mean…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days…

A:

Q: Oo Baby weights: The weight of male babies less than 2 months old in the United States is normally…

A: Given: μ=12.2σ=3.4 a) The 83rd Percentile is obtained TI-84 calculator function…

Q: Ages of Passenger Cars The average age of passenger train cars is 19.4 years. If the distribution of…

A:

Q: Durations of human pregnancies are normally distributed with a mean of 268 days and a standard…

A:

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Solution-: Given: μ=100,σ=15 We find x- value=?

Q: Work Hours for College Faculty The average full-time faculty member in a post-secondary degree…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days…

A: Determine the range that would be expected to find the middle 68% of most pregnancies. The range…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A: It is given that the length of pregnancies is normally distributed with mean 268 and standard…

Q: The middle 75% of the data was highly competitive house prices in the 70s. Find those house prices.

A: It is given that  Mean = 150000 Standard deviation = 25000

Q: Age of Senators The average age of senators in the  108th  Congress was 63  years. If the standard…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The lengths of time​ (in years) it took a random sample of 32 former smokers to quit smoking…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Solution: 6. Let X be the length of pregnancies in a small rural village. From the given…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Given data,μ=100σ=15P(X<x)=0.99x=?

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: It is given that the length of pregnancies is normally distributed with mean 267 and standard…

Q: A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a…

A: The claim is that the man score for the state’s eighth-graders on this exam is more than 285.

Q: The average life of a car tire is 50,000 miles. The standard deviation is 2,000 miles. а.) Draw and…

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

Q: Find the indicated IQ score. The graph to the right depicts 1Q scores of adults, and those scores…

A: Let "x" be the indicated IQ score. Find z-score corresponds to the area of 0.90 to the left.…

Q: A normal population has a mean μ = 40 and standard deviation  of 11. What proportion of the…

A:

Q: (c) Find the 55" percentile of the sample mean. Round the answer to at least two decimal places. The…

A: A sample of 112 apartments, n=112 The mean of monthly rate, μ=2681 Standard Deviation, σ=510

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: μ = 267σ = 13 C = 95% α = 1 - 0.95    = 0.05 α2 = 0.025  zα2 = ±1.96 The middle 95% of most…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: (74)  Let X be the random variable from normal distribution with mean (μ) = 100 and standard…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days…

A: μ = 266 daysσ = 14 days

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A:

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A:

Q: Salary of Full Professors The average salary of a male full professor at a public four-year…

A: From the provided information, Average salary of a male full professor at a public four-year…

Q: Mike thinks that there is a difference in quality of life between rural and urban living. He…

A: Since, you have just asked the value of degree of freedom, the answer is provided below:     The…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores adults, and those scores are…

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

Q: Time in surgery: Records at a hospital show that a certain surgical procedure takes an average of…

A:

Q: (a) How many standard deviations above the mean did Sophia score on the Verbal Reasoning section?…

A: X1=Verbal Reasoning section   X2=Quantitative Reasoning section X1~N( μ1=151 , ?1=9 ) μ1 =151 , ?1 =…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days…

A: Given data is Mean(μ)=265standard deviation(σ)=17

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days…

A:

Q: Salary of Full Professors The average salary of a male full professor at a public four-year…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 101 and a standard…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days…

A: Determine the range that would be expected to find the middle 95% of most pregnancies. The range…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A:

Q: Heights of men have a mean of 69.0 inches and a standard deviation of 2.8 inches. Find each of the…

A: Unusual z-score: The z-score is said to be unusual if the standard Normal score is less than –2 or…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days…

A: The given data is normally distributed with mean =269 and standard deviation =16

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those…

A: Given that, Mean = μ = 100 Standard deviation = σ = 15     To determine, what is the area of the…

Q: ge of Senators The average age of senators in the 108" Congress was 57.5 years. If the standard…

A:

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.