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Statistics - Data Collection - Secondary Data - : Identification

This document defines key statistical terms like statistics, data collection, and secondary data. It also identifies inferential statistics, qualitative and quantitative variables, discrete and continuous variables. It provides an example of calculating sample size for a study given population proportion, confidence level, and margin of error. It also presents a problem on stratified random sampling to select students from three departments in proportion to their population sizes.

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Nadi Hood
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26 views1 page

Statistics - Data Collection - Secondary Data - : Identification

This document defines key statistical terms like statistics, data collection, and secondary data. It also identifies inferential statistics, qualitative and quantitative variables, discrete and continuous variables. It provides an example of calculating sample size for a study given population proportion, confidence level, and margin of error. It also presents a problem on stratified random sampling to select students from three departments in proportion to their population sizes.

Uploaded by

Nadi Hood
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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2. Definitions. Define the following terms.

[1 point each ]

a. Statistics – is one of the branches of Mathematics that deals with the


collection, classification, analysis and interpretation of data
b. Data Collection – is the act of collecting and measuring data from a variety
of sources to answer specific questions, gather and analyze the collected
data
c. Secondary Data - is data that has already been obtained from other sources
and is readily accessible, such data is cheaper and quicker to collect than
the primary ones

3. Identification. [1 point each ]

a. The information collected from the sample is generalized to the population.


[Inferential Statistics]
b. Variable that yields categorical responses. [Qualitative variables]
c. Variables takes on numerical values representing an amount or quantity.
[Quantitative variables]
d. Variable that is a finite. [Discrete Variable]
e. Variable that is a infinite. [Continuous Variable]

4. Suppose we are doing a study of the number of litters that person consumes for a
week. Given 𝜌 is 25 % (0.25)with 93% confidence level. 5% margin of error [5
points ]

a. Find 𝑍.
b. Determine the sample size.
c. Write a conclusion.

A = (1 + CL)/ 2 = (1 + 0.93) / 2 = 0.965


Z = 1.8 + 0.01 = 1.81
n ≥ ( Z/e ) ² p( 1 – p) or n = z2 * p * (1 - p) / e2
n ≥ (1.81/0.05) ² 0.25(1 – 0.25) or n = 1.812 * 0.25 * (1 - 0.25) / 0.052

n = 0.6143 / 0.0025 = 245.707


n ≈ 246
1310.44*.1875 = 245.71 or 246

From the z value of 1.81 and sample size of 246, we will be needing 246 litters
that person consumes for a week

5. A sample of 75 students need to be selected from 600 freshmen from college of science
to start the study. These freshmen are from three different department. Department of
Mathematics and statistics have 175 freshmen, Department of Biology have 225 and
Department of Nutrition and Dietetics have 200. [7 points]

a. What sampling technique we will use to choose the 75 students needed on the
study? Stratified Random Sampling
b. Solve the three strata.

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