Question

The article "Sensory and Mechanical Assessment of the Quality of Frankfurters" reported the following salt content (percentage by weight) for 10 frankfurters. 2.18 2.03 1.56 1.09 1.56 2.28 1.62 2.02 2.11 2.32 (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.)

Answer 1

μ = 1.877

Explanation:

Data provided in the question:

Number of data samples, n = 10

Data: 2.18, 2.03, 1.56, 1.09, 1.56 ,2.28 ,1.62 ,2.02 ,2.11 ,2.32

Now,

Mean is calculated using the formula as:

Mean, μ =
`\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}`

or

Mean, μ =
`\frac{\textup{2.18 + 2.03 + 1.56 + 1.09 + 1.56 + 2.28 + 1.62 + 2.02 + 2.11 + 2.32 }}{\textup{10}}`

or

Mean , μ =
`(18.77)/(10)`

or

Mean , μ = 1.877