The following are the first quarter and second quarter grades of randomly selected students in Mathematics. During these times, their first quarter teacher was changed to teach the second quarter lessons. Assuming that grades in Mathematics are normally distributed, at 1% level of significance, investigate whether quarterly change in teacher can show improvement on Mathematics grades. 85 87 84 88 1st Q 91 86 85 82 86 82 86 82 85 2nd Q 84 91 88 3. Using the same information in number (2), how significant is the relationship between the grades in the first quarter and second quarter using ranking? Use a = 0.01. OPTIONAL: You may want to try to solve these problems using the statistical procedure that you selected. Let your Statistics and Probability teacher see your work and let your Research teacher check your work.

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2.
The following are the first quarter and second quarter grades of randomly selected
students in Mathematics. During these times, their first quarter teacher was changed
to teach the second quarter lessons. Assuming that grades in Mathematics are
normally distributed, at 1% level of significance, investigate whether quarterly change
in teacher can show improvement on Mathematics grades.
82
1st Q
2nd Q
84
82
82
85
86 88
86
85
91
91
84
85
87
88
86
3.
Using the same information in number (2), how significant is the relationship between
the grades in the first quarter and second quarter using ranking? Use a = 0.01.
OPTIONAL: You may want to try to solve these problems using the statistical procedure that
you selected. Let your Statistics and Probability teacher see your work and let
your Research teacher check your work.
Transcribed Image Text:2. The following are the first quarter and second quarter grades of randomly selected students in Mathematics. During these times, their first quarter teacher was changed to teach the second quarter lessons. Assuming that grades in Mathematics are normally distributed, at 1% level of significance, investigate whether quarterly change in teacher can show improvement on Mathematics grades. 82 1st Q 2nd Q 84 82 82 85 86 88 86 85 91 91 84 85 87 88 86 3. Using the same information in number (2), how significant is the relationship between the grades in the first quarter and second quarter using ranking? Use a = 0.01. OPTIONAL: You may want to try to solve these problems using the statistical procedure that you selected. Let your Statistics and Probability teacher see your work and let your Research teacher check your work.
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