Teachers employed at a learning center developed a teaching program to improve scores on a standardized exam. The teachers select a sample of 36 participants and measure a sample mean equal to 510 from a population with a standard deviation equal to 114.
(a) Find the confidence limits at a 90% CI for this one-sample test.
(b) If the null hypothesis states that scores in the population equal 474, then what would the decision be for an upper-tail critical hypothesis test at a .05 level of significance?