Income (in thousands of dollars) (Source: U.S. Census Bureau) 11. Archaeology The depths (in inches) at which 10 artifacts are found are listed. E1 20.7 24.8 30.5 26.2 36.0 34.3 30.3 29.5 27.0 38.5 (a) Find the range of the data set. (b) Change 38.5 to 60.5 and find the range of the new data set. 12. In Exercise 11, compare your answer to part (a) with your answer to part (b). How do outliers affect the range of a data set? Finding Population Statistics In Exercises 13 and 14, find the range, mean, variance, and standard deviation of the population data set. 21: 13. Drunk Driving The numbers of alcohol-impaired crash fatalities (in thousands) per year from 2005 through 2015 (Source: National Highway Traffic o .Safety Administration) 14 13 13 12 11 10 10 10 10 10 10 istics 14. Density The densities (in kilograms per cubic meter) of the ten most abundant elements by weight in Earth's crust 213 EKEWCI2 1.4 2330 2700 7870 1500 970 900 1740 4500 0.09 Finding Sample Statistics In Exercises 15 and 16, find the range, mean, variance, and standard deviation of the sample data set. 14 15. Ages of Students The ages (in years) of a random sample of students in a campus dining hall 19 20 17 19 17 21 23 21 17 17 19 19 17 20 23 18 18 18 18 19 16. Pregnancy Durations The durations (in days) of pregnancies for a random sample of mothers sb 277 291 295 280 268 278 291 277 282 279 296 285 269 293 286 269 264 299 275 281

Q: Please help me fix problem A, B ,C , Thank you!

A: Obtain the mean and standard deviation for the number of people in the group of 140 that don’t know…

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

A: It is given that the mean and standard deviation are 4.4 and 8.24.

Q: Suppose a population has three values 13, 17 and 24. What is its variance?

A: Given: n=3 The mean of the data is obtained as below: Mean=∑xn=13+17+243=543=18 The mean is 18.

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

A:

Q: to population variance, we get an estimate of the sample variance by ① . This is known as ② . This…

A: Population Mean and Variance μ = 1n∑i=1nxiσ2 =1n∑i=1nxi-μ2 Sample mean and variance x¯=1N∑i=1Nxi…

Q: Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a…

A: From the provided information, Sample size (n) = 45 Sample mean (x̅) = 64.7 Population mean (µ) =…

Q: We would like to compare samples from two different populations A and B. The means of these two…

A: Given that, MuA= 200 MuB= 200 Var(A) = 72 Var(B) = 200 Sample size, nA = 36  nb= 100 We've to find…

Q: 2) If all of the values in a set of data were doubled, what would happen to the variance?

A: We need to use the concept of variance.

Q: What is the R script for this problem? Select five simple random samples of 10, 25, and 50 male…

A: This script will:Load the provided dataset containing mosquitofish lengths.Define a function…

Q: Suppose when a data set with 32 values is treated as a "population", the value of the (population)…

A: Given that  Population Variance = 145.2  n = 32

Q: What mathematical operations could I do to every score in my distribution list that would have no…

A: Mathematical operation  Adding/subtracting

Q: A researcher calculates the variance of her sample to be s = -6. , what would you tell the…

A: Here's the explanation for this as follows; The sample variance, s², is used to calculate how varied…

Q: Find the variance and standard deviation of the given set of data to the nearest tenth. {530, 150,…

A: As we know that varience is of set of data V(x)=1n∑i=1nxi-μ2  and standard deviation is SD=V(x)

Q: Two samples from two different populations are given: (а) Sample 1: 19.8, 12.5, 13.2, 16.9, 18.3,…

A: Let σ12 be the variance of population 1 and σ22 be the variance of population 2. Hypothesis: Null…

Q: You want to by a typist for a local company. As part of the application process, they have you type…

A: (b) The z-score corresponds to the average of words per minute assuming 50 as your true mean typing…

Q: A researcher is trying to determine if racial background affects income. In a sample of 100 people,…

A: From the above data What proportion of the variance in income can be explained by racial background…

Q: The mean of 5 observations is 4.4 and the variance is 8.24. If the three of the five observations…

A:

Q: One sample of n = 4 scores has a mean of M = 12, and a second smaple with n = 6 scores has a mean of…

A:

Q: You are doing a one way analysis of variance on the fuel consumption of different makes of cars. You…

A: Given : Total sample size , n  = 59 Sum of squarestotal = 181.55 Sum of Squarestreatment = 118.42

Q: Tim is a researcher who is dealing with a SAMPLE of scores.  The SAMPLE of scores is: 15, 17, 19,…

A: Given data is 15, 17, 19, 22, 10, 23, 16, 15S.S=122.88

Q: You observe a sample of five numbers between 0 and 10. Their median is 5 and their mean is 5. What…

A: The numbers are between 0 to 10. The mean is the ratio of the sum of all observations to the total…

Q: When the population is N=9 and the scores are 4,2,0,5,3,2,1,7,3 what is the SS, variance and…

A:

Q: Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent…

A: Sure, let's break down each calculation and what it tells us about the net worths:1. Range: The…

Q: 1. Statistics teacher realize that his students keep using cell phones during the class. Then he did…

A:

Q: If I have the variance of 36 and the standard deviation of 6, how do I calculate the range?

A: From the provided information, Variance (σ2) = 36 Standard deviation (σ) = 6

Q: The coefficient of variant of the height of 20 people is 15% and the weight of the same 20 mean…

A: The formula for coefficient of variation is, CV = (σ/ µ) × 100%, where σ is the population standard…

Q: We can eliminate some outller problems by using O a. Coefficient of variation O b. Interquartile…

A: Interquartile range (IQR): The distance between third quartile (75th percentile) and first quartile…

Q: 2. You would like to check if the average wage of Danish men and women is the same. In order to do…

A: In order to claim if two assumed population means (i.e., "the average wage of Danish men" and…

Q: You are doing a one way analysis of variance on the fuel consumption of different makes of cars. You…

A: The formula of sum of squares due to treatment is, Where,   TSS denotes the total sum of squares…

Q: There are two samples with means 15 and 17. Both of those samples consist of 24 observations. Sample…

A: Given Data : For Sample 1 x̄1 = 15.0 s1 = 2.0 n1 = 24 For Sample 2…

Q: How are you able to get the standard variance from a TI-83 calculator?

A: Enter the given data into the list. Press the STAT button and then press ENTER. Enter the first…

Q: Problem: The number of misdirected luggage cases reported for 5 consecutive weeks at the domestic…

A:

Q: What is Ha?

A: (H0 is the mean VIQ scores for the younger, middle-aged, and older subjects are all not different…

Q: A simple random sample of 36 observations was taken from a large population. The sample mean and the…

A:

Q: If you wish to run a hypothesis test to see if the mean cholesterol level is more than 200 mg/dL,…

A: Test is that whether mean cholesterol level is more than 200 mg/dL.

Q: Which choice is another term that can be used to describe a normal distribution: Group of answer…

A: Normal distribution:

Q: For her test grades, Gena has a mean = 65 and standard deviation = 25. Patti has a mean = 65 and…

A: Gena has a mean = 65 and standard deviation = 25. Patti has a mean = 65 and standard deviation = 5…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.