Question: Suppose you take a random sample of 64 adults, administer a driver safety test and obtain the following results:

Mean 75.5

Std deviation 6.4

Sample size (n) 64

Std. Error ???

Assume you know nothing about the population mean or distribution characteristics of driver safety scores. Calculate the standard error for this sample. Create a 95.5% confidence interval (that is 2 standard errors, note that the 95% we’ve worked with is actually 1.96 standard errors) for the mean score of the population. Interpret this confidence interval. What theorem forms the theoretical basis of the confidence interval you generated? (3%)