Answer:
Step-by-step explanation:
The objective of this question is to known whether the assumptions of the known data set follows normal distribution or not and if it is appropriate to use t-test or not.
TO solve this question ; we construct a box plot for the known data set by using a MINITAB software
The process is as follows to guide you:
Enter your data in the worksheet
Then select Graph→ Boxplot→ EDA→ Boxplot
Under One Y , select simple, Then click OK
In Variables , enter measurements. Then click OK
So; for the first data set (a) 213.03 212.95 213.04 213.00 212.99 213.01 221.03 213.05 as shown in the attached file in word document for the boxplot below;
We will observe that there is a outliner present in the data set and the measurement do not meet the normal assumption ; as a result to that ; the t-distribution is not appropriate for this data.
(b) From the document attached below; we will realize and observe that the boxplot doesn't contains an outliner. Also; it is clear and obvious that the shape of the distribution is right skewed. The measurement thus did not meet the assumptions and as a result t- distribution is not appropriate for this data.
(c)
From the document attached below; we will realize and observe that the boxplot doesn't contains an outliner. Also; it is clear and obvious that the shape of the distribution is left skewed. The measurement thus did not meet the assumptions and as a result t- distribution is not appropriate for this data.