A researcher wanted to know whether there was a difference i

A researcher wanted to know whether there was a difference in the level of understanding among students learning StatCrunch based on the style of instruction. In a previous semester of STAT 250, Section 1 was taught StatCrunch with video tutorials and Section 2 was taught StatCrunch with written instructions. One simple random sample of 28 was taken from each section and the students in each sample were given a StatCrunch quiz that tested basic procedures. The data provided in StatCrunch represents the quiz scores the students received. At the 0.01 significance level, can the researcher conclude from these data that there is a significant difference in quiz scores between the two methods of instruction?

a) What is (are) the parameter(s) of interests? Choose one of the following symbols m; m_D (the mean difference from a matched pairs design); m₁ - m₂ (the mean difference from independent samples) and describe it in words.

b) Depending on your answer to part (a), construct one or two histograms and one or two boxplots to visualize the distribution(s) of your sample data. Remember to properly title and label these graphs. Copy and paste these graphs into your assignment. Below the graphs, answer the following questions.

i.Are there any major deviations from normality?

ii.Are there any outliers present?

iii.Is it appropriate to conduct statistical inference procedures, why or why not?

DATA:

Section 1   Section 2
79.8   84.6
86.2   70.8
91.2   86.8
85.4   94.8
86.4   76.7
85.6   91.8
82.5   82.6
83.9   84.3
86.1   73.7
83.4   83.9
85.2   83.3
89.2   83.3
88.1   80.3
80.7   89.5
90.5   75.1
95   78.7
84.1   83.4
87.8   76
89.1   79.3
90   88.7
87.5   74.9
82.2   77.8
84.5   72
86.4   92.5
93   83.7
89.9   80.5
79.3   84.5
87.3   78.3

Solution