Answered

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1. Suppose that there are 5 children in a gymnastics class. One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down. The results are: Ashley (20), Brittany (8), Carol (22), Darla (26), and Erica (24). The mean number of steps these children took while walking on their hands is 20 steps. (a) Identify the population and the parameter. ate the mean number of steps taken while walking on their
(b) List all 10 poss SRSs of size n-2. Ca hands for each sample. (c) Display the sampling distribution of the sample mean on a dotplot.

Sagot :

Based on the probability concept, the population is number of children in gymnastic class is 5 and the parameter is mean number of steps taken by the 5 children.

Probability:

In math probability  deals with the occurrence of a random event and the value is expressed from zero to one.

Given,

Suppose that there are 5 children in a gymnastics class.

One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.

The mean number of steps these children took while walking on their hands is 20 steps.

Here we need to find the the population and parameter.

Based on the given question,

We know that the parameters are descriptive measures of an entire population and their values are usually unknown because it is infeasible to measure an entire population.

Therefore, you can take a random sample from the population to obtain parameter estimates.

Similarly, for the population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research.

Here the given scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.

And then the parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information.

So, the mean value of steps obtained from the step counts of the population data is called the parameter.

And the parameter is a value that describes a characteristic of an entire population, such as the population mean.

Therefore, the population mean and standard deviation are two common parameters.

=> Population = number of children in gymnastic class = 5.

=> Parameter = mean number of steps taken by the 5 children.

To know more about Probability here.

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