The fat content of 7 randomly selected hot dogs was measured as follows: 16.3, 1

Question

The fat content of 7 randomly selected hot dogs was measured as follows: 16.3, 17.1, 13.3, 12.0, 8.5, 17.9, 18.1 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean and unknown variance 2 a)Use the data to calculate an unbiased point estimate of the true mean, of hot dog fat content. b)Use the data to find an unbiased point estimate of the population variance, 0,2 of hot dog fat content c) Find the sample standard deviation of the above data d)Create a 98% confidence interval for . ( . ) e) what critical value did you use to calculate the 98% confidence interval in d? f)Create a 98% prediction interval for . ( D) g) Copy your R script for the above into the text box here.

Explanation / Answer

Solutiona:

unbiased point estiamte of true mean=sample mean

sample mean= 14.74286

Solutionb:

unbiased point estimate of population variance=sample varaince

sample variance=12.96619

Solutionc:

sample standard deviation

=3.60086

Solutiond:

98 percent confidence interval for p[opulation mean is
10.46569 ,19.02002

lower limit=10.46569

upper limit=19.02002

Rscript:

fat_content_dogs <- c(16.3,17.1,13.3,12.0,8.5,17.9,18.1)
mean(fat_content_dogs)
var(fat_content_dogs)
sd(fat_content_dogs)
t.test(fat_content_dogs,conf.level = 0.98)

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