organized and presented. 1. (15 points) Suppose a group of 1,764 Oklahoma high school seniors take a standardized math test; the mean score for this group of students on the test was 124, and the sample standard deviation is 21. The scores on the standardized test for this group of students are approximately normally distributed. The researcher is interested in testing the research hypothesis that this sample of students has a mean which is statistically different than of the general population of high school senior students in Oklahoma-a mean, u, of 122. Answer the following questions below. Please show your work. a. State the null and alternative hypothesis in words and symbols. b. Determine the type of test statistic to calculate and whether or not this is a 1-tailed or 2-tailed test. c. Calculate the test statistic. d. Determine the p-value of the test statistic (use an online p-value calculator). e. Summarize your conclusion from this analysis in several sentences (use an alpha level a = .05). f. Construct a 95% confidence interval for the population mean u. g. What do you conclude from the confidence intervals about whether or not your decision to retain or reject the null hypothesis was well-founded? How do you know this? Explain