Do the data provide significant evidence at 3.5% level that population mean response after attending the presentation is larger than 4.7 There are 258 students Sample mean response 4.98 Sample standard deviation 1.62 Do the data provide significant evidence at 3.5% level that population mean response after attending the presentation is larger than 4.7 There are 258 students Sample mean response 4.98 Sample standard deviation 1.62 There are 258 students Sample mean response 4.98 Sample standard deviation 1.62 Solution Formulating the null and alternative hypotheses, Ho: u <= 4.7 Ha: u > 4.7 As we can see, this is a right tailed test. Thus, getting the critical z, as alpha = 0.035 , alpha = 0.035 zcrit = + 1.811910673 Getting the test statistic, as X = sample mean = 4.98 uo = hypothesized mean = 4.7 n = sample size = 258 s = standard deviation = 1.62 Thus, z = (X - uo) * sqrt(n) / s = 2.776213551 Also, the p value is p = 0.002749804 As z > 1.8119 (or, P < 0.035), we REJECT HO. Thus, there is significant evidence that the population mean response after attending the presentation is larger than 4.7. [CONCLUSION].