Question

Historically the mean AVG of SBU first year students has been determined to be μ0 = 72. Over 2017–2018, all SBU lecturers completely redesigned all their courses in order to make them more engaging to their students in 2019. The researchers are interested in knowing if this new format for the courses is beneficial for the learning of the students at SBU, which is measured by their assessment score AVG. Analyse the AVG measurements of the SRS provided.

The x bar is 84.39,   standard deviation =15.87, n=28.

Produce a 95% confidence interval for the true mean of AVG in 2019.

Answer 1

Given that, sample size ( n ) = 28

sample mean = 84.39

sample standard deviation ( s ) = 15.87

t-critical value at significance level = 0.05 with degrees of freedom = 28 = 1 = 27 is,

The 95% confidence interval for population mean is,

Therefore, a 95% confidence interval for the true mean of AVG in 2019 is, (78.24, 90.54)