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Goodness of Fit Statistical Analysis

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I need some help with answering these statistic questions: (See attachment for better table representation)
A) 100 students were classified according to their interest in statistics and their evaluation of the course. The results are tabulated below

HIGHLY INTERESTED INTERESTED INDIFFERENT NOT INTERESTED
EXCELLENT 15 12 10 5
GOOD 10 10 5 5
ACCEPTABLE 5 10 8 5

Is there any evidence of association between interest in the topic and course evaluation?

b) The marks obtained by the groups of students are given below:

MARK <=40 41-50 51-60 61-70 71-80 81-90 91-100
FREQUENCY 5 10 35 22 15 8 5

Fit a normal distribution to this data and test for goodness of fit.

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Solution Summary

This solution provides a null and alternative hypothesis for each case and conducts a statistical analysis to calculate the expected frequency for the data given. The p-value is calculated in a stepwise manner and a decision is made to accept or reject the null hypothesis.

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