Seatbelts is a built-in R time-series, giving the monthly totals of car drivers in Great Britain killed or seriously injured Jan 1969 to Dec 1984. We are interested in some descriptive statistics related to the rear column of the Seatbelts time series. We can access the data directly by using the assignment x<-Seatbelts[4]. (In R use ?Seat info on this time series.) Remember: x <- Seatbelts[4] a.Calculate the sample mean of x. b. Using the R quantile function, find the .70 (70th) percentile of x. 2 c. Calculate the interquartile range of x using R. [3] Calculate Selsylate the sample median of x.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Seatbelts is a built-in R time-series, giving the monthly totals of car drivers in Great Britain killed or seriously injured Jan 1969 to Dec 1984. We are interested in some descriptive statistics related to the rear column of the Seatbelts time series. We can access the data directly by using the assignment x<-Seatbelts[,4]. (In R use ?Seatbelts for
info on this time series.) Remember: x <- Seatbelts[,4]
a.Calculate the sample mean of x.1
b. Using the R quantile function, find the .70 (70th) percentile of x. 2
c. Calculate the interquartile range of x using R. 3
d. Calculate the sample median of x. 4
e. Calculate a 10/192 trimmed mean for x. 5
f. Calculate the sample variance of x. 6
g. Calculate the sample standard deviation of x. 7
h. What proportion of the x values are within 1.0 sample standard deviations from the sample mean 8
i. Calculate the minimum of x.
j. What number do you get if you add up the values in x? 10
Transcribed Image Text:Seatbelts is a built-in R time-series, giving the monthly totals of car drivers in Great Britain killed or seriously injured Jan 1969 to Dec 1984. We are interested in some descriptive statistics related to the rear column of the Seatbelts time series. We can access the data directly by using the assignment x<-Seatbelts[,4]. (In R use ?Seatbelts for info on this time series.) Remember: x <- Seatbelts[,4] a.Calculate the sample mean of x.1 b. Using the R quantile function, find the .70 (70th) percentile of x. 2 c. Calculate the interquartile range of x using R. 3 d. Calculate the sample median of x. 4 e. Calculate a 10/192 trimmed mean for x. 5 f. Calculate the sample variance of x. 6 g. Calculate the sample standard deviation of x. 7 h. What proportion of the x values are within 1.0 sample standard deviations from the sample mean 8 i. Calculate the minimum of x. j. What number do you get if you add up the values in x? 10
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