In: Statistics and Probability
: Dr. Smith was interested in examining if a new language training program would produce a change in the reading scores for the individuals in the population. In general population of college students, scores on a standardized reading test that are normally distributed with the mean µ = 65 and standard deviation σ = 15. Because it was not feasible to administer the training to everyone in the population, a sample of n = 64 individuals was selected, and the training program was given to this sample. Following the training, the average score for this sample was ?̅ = 69. Can the researcher conclude that the new program would have an effect on reading scores among college students? Round up to two decimal places. Use a two-tailed test and α = .01.
Q1: State your null hypothesis and research hypothesis in complete sentences.
Q2: what are the cut-off points?
Q3: What is the standard error?
Q4: What is the z-score?
Q5: Write your conclusion thoroughly.