d) Calculate the sample variance of x. e) Calculate the interquartile range of x, using R. f) Calculate the 50th percentile of x using R.
d) Calculate the sample variance of x. e) Calculate the interquartile range of x, using R. f) Calculate the 50th percentile of x using R.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 2E: Planetary Velocity The following table gives the mean velocity of planets in their orbits versus...
Related questions
Question
d, e , f
![The built-in data set, rock, is a data frame recording the measurements of rock sample from a petroleum reservoir. We are interested in the area column of rock. Using R we can convert
this column into the vector x by the assignment x<-rock$shape. Assume that the n area measurements x=(X₁, X₂,...,xn) are a random sample from a population with true unknown
mean μ and true unknown variance 2. Remember, let x be defined by x<-rock$shape.
a) Calculate, n, the number of elements in x. 48
b) Calculate the sample standard deviation s, of x.
c) Estimate true mean μ, using this data by calculating the sample mean.
d) Calculate the sample variance of x.
e) Calculate the interquartile range of x, using R.
f) Calculate the 50th percentile of x using R.
g) Calculate a trimmed mean for x using R.
48
h) Since the sample size is >30 we can create a confidence interval for μ using a normal critical value. If we want the confidence interval to be at the 94% level and we use a normal
critical value, then what critical value should we use?
i) Calculate a 94% confidence interval(using a normal critical value) for μ.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a41257f-c9b6-4487-97a2-e459f9e4d541%2F0e1dab5a-763e-45c4-9cea-55550dd50bf5%2Fp1sm3j_processed.png&w=3840&q=75)
Transcribed Image Text:The built-in data set, rock, is a data frame recording the measurements of rock sample from a petroleum reservoir. We are interested in the area column of rock. Using R we can convert
this column into the vector x by the assignment x<-rock$shape. Assume that the n area measurements x=(X₁, X₂,...,xn) are a random sample from a population with true unknown
mean μ and true unknown variance 2. Remember, let x be defined by x<-rock$shape.
a) Calculate, n, the number of elements in x. 48
b) Calculate the sample standard deviation s, of x.
c) Estimate true mean μ, using this data by calculating the sample mean.
d) Calculate the sample variance of x.
e) Calculate the interquartile range of x, using R.
f) Calculate the 50th percentile of x using R.
g) Calculate a trimmed mean for x using R.
48
h) Since the sample size is >30 we can create a confidence interval for μ using a normal critical value. If we want the confidence interval to be at the 94% level and we use a normal
critical value, then what critical value should we use?
i) Calculate a 94% confidence interval(using a normal critical value) for μ.
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