Question

Listed below are grades for Calculus and Precalculus students.

Calculus 95, 87, 55, 88, 79, 80, 86, 91, 93, 68, 91, 79, 73, 81, 90, 72, 84

Precalculus 82, 66, 42, 90, 82, 38, 77, 90, 72, 65, 71, 88, 63, 93, 67, 55, 34, 82, 71

find the mean, standard deviation, sample size, claim, Ho, H1, critical value, test statistic and conclusion

3) Test the claim that the majority of Calculus students are passing the class with a C grade over 70 or better.

4) Test the claim that the majority of Precalculus students are passing the class with a C grade over 70 or better

Answer 1

given,

Calculus : 95, 87, 55, 88, 79, 80, 86, 91, 93, 68, 91, 79, 73, 81, 90, 72, 84

Precalculus : 82, 66, 42, 90, 82, 38, 77, 90, 72, 65, 71, 88, 63, 93, 67, 55, 34, 82, 71

3) The claim that the majority of Calculus students are passing the class with a C grade over 70 or better.

The hypothesis is,

we know that the test statistic is,

The corresponding p-value is 0.0001

Conclusion : Assuming that the level of significance is 0.05, since the p value is less than the level of significance we can reject the null hypothesis and conclude that the majority of Calculus students are passing the class with a C grade over 70 or better.

4)

The claim that the majority of Precalculus students are passing the class with a C grade over 70 or better

The hypothesis is,

we know that the test statistic is,

The corresponding p-value is 0.4140

Conclusion : Assuming that the level of significance is 0.05, since the p value is greater than the level of significance we fail to reject the null hypothesis and conclude that the majority of Calculus students are not passing the class with a C grade over 70 or better.