Answer to Question #60620 in Statistics and Probability for Lindsay

Question

Grade 11 students enrolled in schools in the LSB jurisdiction have had an average score of 63% on the exam with a standard deviation of 11%. Using the data from a clustered random sample of students from amongst the school board (see table below), determine if this year’s performance (2012) on the math exam was significantly lower than the historical average. Conduct a complete hypothesis test using a confidence level of 95%.
A complete hypothesis test includes:
a) The null and alternative hypotheses, Ho and Ha
b) The critical value (confidence coefficient)
c) The test statistic [2] (including sample mean and standard deviation
d) The p-value

student scores:
72, 52, 85, 60, 41, 39, 50, 48, 89, 70, 75, 61, 62, 40, 64, 79