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STAT670 Introductory Statistics

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STAT670 Introductory Statistics

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Course Code: STAT670
University: Macquarie University

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Country: Australia


Question 1

Describe the target population for this study in one sentence.
Do you think that this sample is representative of this target population? Briefly justify your answer.
Identify the variable type for each of these variables.
Indicate an appropriate graphical display to show the distribution for the number of words in magazine advertisements.
Indicate an appropriate graphical display to show the distribution for the various types of magazine advertisements.

Question 2
Use the Magazines.mtw file to calculate the following, giving answers to 2dp:

the mean number of words per advertisement in the magazines.
the proportion of advertisements with more than 10 sentences.
the median number of sentences per advertisement in True Confessions.
the mean number of words with 3 or more syllables in advertisements frommagazines which have readers with a high level of education.
the mean number of words with 3 or more syllables in advertisements for either food or cosmetics.

Question 3
Use the Magazines.mtw file to produce: 1. an appropriate graphical summary and 2. an appropriate numerical summary to address each of the following research questions. Copy and paste output from Minitab into your solution and type in brief but informative comments addressing each question. Make sure that your output is clearly labelled. You will need to recode some of the variables to do this.

Is there an association between the educational level of magazines and the type of advertisements placed in them?
Does the number of words in advertisements differ for magazines read by readers of different educational levels?
Is there a relationship between the number of words and the number of sentences in advertisements?

Question 4
You should use Minitab to find answers to the following probability questions. Use Minitab’s Graph menu and obtain Probability Distribution plots for each question. Type up the answer to each question in a clear sentence.
Say we are told that surface skin areas among human adults are normally distributed with a mean of 1.8 square metres and standard deviation of 0.25 square metres.

What percentage of adult humans would be expected to have a skin surface which is greater than 1.3 square metres in area?
Among a sample of 1000 randomly selected adult humans, how many would be expected to have a skin surface which is between 1.7 and 2.4 square metres in area?
What would be the interquartile range for skin surface areas among adult humans?


The first step is to identity the magazine rankings and the appropriateness of the entire ranking of the magazines. After determining the rankings, the magazine variables are put together and defined based on the ID, Groups, words, sentences and type. The target population must also be in the mind of the analysts.
To come up with a proper answer to the question, we have to come up with the target population of the magazine. You need to come up with a proper analysis of the target population on the magazine.  This is by analyzing the excel sheet using a proper analytical tool such as SPSS.
To determine whether the sample represents the target population, the frequency of the sample population on the spreadsheet is checked and analyzed.
To get the Variable of this information, you need to identify the declaration used during the start of the study.
To show the distribution of the number of words from the magazine, a graph must be plotted and analyzed. This is done when the information is translated on a statistical tool such as SPSS (Wickham, 2016). This graph is also used to indicate the distribution of various types of magazines and advertisements. To find the mean median and mode of the values, data is uploaded into SPSSS tool and descriptive analysis should be done to get the exact values.
The final step involves using the MATLAB software. The process involves downloading the MATLAB software, install the software on your machine, and use it to translate the entire probability by coding each and every values given into the software.
Wickham, H. (2016). ggplot2: elegant graphics for data analysis. Springer.
Friendly, M., & Meyer, D. (2015). Discrete data analysis with R: visualization and modeling techniques for categorical and count data. Chapman and Hall/CRC.

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