Question

The article "Sensory and Mechanical Assessment of the Quality of Frankfurters" reported the following salt content (percentage by weight) for 10 frankfurters.

2.23 2.08 1.61 1.14 1.61 2.33 1.67 2.07 2.16 2.37 (a) Use the given data to produce a point estimate of μ, the true mean salt content for frankfurters. (Give the answer to three decimal places.) μ =   (b) Use the given data to produce a point estimate of σ2, the variance of salt content for frankfurters. (Give the answer to five decimal places.) σ2 =   (c) Use the given data to produce an estimate of σ, the standard deviation of salt content. (Give the answer to four decimal places.) σ =

Answer 1

use mean function in R to get the sample mean

var function in R to get the sample variance

sd function to get the sample standard deviation

Rcode:

frankfurters <- c(2.23,   2.08,   1.61,   1.14,   1.61,   2.33,   1.67,   2.07,   2.16,   2.37)
mean(x)
var(x)
sd(x)
round(2.581989,4)

SolutionA:

sample mean is point estimate of mu

xbar=4

SolutionB:

sample variance is point estimate of population variance

sample variance=s=6.66667

SolutionC:

sample standard deviation is point estimate of population standard deviation

sample standard deviation= 2.582