Answer:
Step-by-step explanation:
The goal here is to identify whether the provided data set adheres to a normal distribution, and consequently, if a t-test is suitable for application.
To address this, we will construct a box plot using MINITAB software
The guidelines for this are as follows:
Input your data into the worksheet
Then navigate to Graph→ Boxplot→ EDA→ Boxplot
Under One Y, choose simple, and click OK
In Variables, enter measurements. Then click OK
Thus, for the first dataset (a) 213.03 212.95 213.04 213.00 212.99 213.01 221.03 213.05 as illustrated in the attached file in word document for the boxplot below;
We would observe an outlier in the data set which suggests that it does not conform to the normal distribution assumption; hence, the use of the t-distribution is not advised.
(b) Referring to the attached document below; we will notice that the boxplot does not present any outliers. Furthermore, it is evident that the distribution is right skewed. Thus, this dataset fails the necessary assumptions, making the t-distribution inappropriate for this data.
(c)
In the document provided below; we will find the boxplot without any outliers. Additionally, it is clear that the distribution exhibits a left skew. Consequently, the data does not meet the required assumptions, resulting in the t-distribution being unsuitable for this dataset.
