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A sampling distribution of sample mean is a frequency distribution using the means computed from all possible random samples of a specific size taken from a population.

The mean of the sampling distribution is equal to the population mean (μ).

🧾WEEK 2

➤Parameter is a numerical measurement or quantity that describes the characteristics of a population. It is usually denoted by Greek letters like Population Mean (μ), Population Variance (σ²), and Population Standard Deviation (σ).

➤Statistic is a numerical measurement or quantity that describes the characteristics of a sample and it is usually denoted by letters like Sample Mean (x), Sample Variance (s2), and Sample Standard Deviation (s).

FORMULAS IN SOLVING PARAMETER

Population Mean:

μ= Ex

     N.  

(μ)=the sample mean

E= the summation of x (sum of the measures)

N= number of the elements in the sample

Population Variance:

σ²= E(x-μ)²

         N    .    

Population Standard Deviation:

σ=√E(x-μ)²

        N     .    

🧾WEEK 3

Point Estimation

It consists of a single value or point that estimates the population parameter. It can be used to assess characterization of a population by getting a sample from the population. It is also a method to determine an appropriate statistic, called estimator.

A Level of Confidence (c) is the probability that the estimated interval will contain the population parameter.

The confidence level has its corresponding coef fcient which is called conf dence coef fients. These coef tients are used to f nd the margin of error, for instance, the table below show the corresponding coefficient confidence level.

Interval Estimate is a range of values that is used to estimate a parameter. This estimate may or may not contain the true parameter value.

Z - test

A statistical test used to determine whether two population means different when the variances are known, and the sample size is large. (n≥ 30)

T - test

A statistical test used to compare the means of two groups of data. (n<30).

Margin of Error

The difference between the point estimate and the actual population parameter value is called the sampling error.