Question

On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea

Identify the population

Identify the parameter

Identify the sample

Identify the statistic

Answer 1

The population is all bottles filled on Tuesday; the parameter is the targeted 20 ounces of iced tea; the sample is the 50 inspected bottles; and the statistic is the observed average of 19.6 ounces.

Step-by-step explanation:

In the scenario provided, the population refers to all the bottles of iced tea filled in the plant on Tuesday. The parameter in question is the average (mean) amount of iced tea that the bottles were supposed to contain, which is 20 ounces. The sample consists of the 50 bottles that were randomly selected by the quality control inspectors for testing. Lastly, the statistic is the average amount of iced tea that was actually found in the sampled bottles, which is 19.6 ounces.

Answer 2

i) The bottles of iced tea filled in a plant is the Population

ii) The Average of Population μ = 20 is called Parameter

iii) The sample size 'n' = 50

iv) The mean of the sample 'x⁻ = 19.6 ounces

Step-by-step explanation:-

Population:-

The total number of observations which we are concerned , whether this number be finite or infinite is called Population.

In Given data

The bottles of iced tea filled in a plant is the Population

Parameter:-

The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.

The Average of Population μ = 20 is called Parameter

Sample:-

A sample is a subset of population

given data sample size n=50 bottles at random from the days of production

Statistics

The sample mean x⁻ and variance S² is called statistics

Given data

These bottles contained an average of 19.6 ounces of iced tea

x⁻ = 19.6 ounces