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Two independent groups of school goers take the same statistics questions. One group is assumed that...

Two independent groups of school goers take the same statistics questions. One group is assumed that they like math and one group express disliking math. The following is the statistics summary of their statistics questions. The questions is out of 100:

Results X S n

Group not liking math (NL) 61 10.2 81

Group liking Math 84 5.0 81

Write the null hypothesis and alternative hypothesis.

Find the test statistics.

Find the 95% confidence Interval?

Do you reject the null hypothesis, or you do not reject the null hypothesis? Assume α=0.05=5%.

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