A researcher measured happiness levels of 25 women and found an average happiness level of 5.6. The population mean for happiness is 5. The standard deviation is .42 and the standard error is .084. Perform a t test and write a conclusion. a. Identify the independent and dependent variables.. b. Identify the null and alternative hypotheses. c. What type of test will you perform? d. Alpha is set to .05. What are the degrees of freedom? What is your critical t-value (table D)? e. Conduct a statistical test of the hypothesis. Write out the formula. For t-test, what is the effect size (calculate d)? Report if the p-value is less than or greater than .05. f. Calculate a confidence interval around the mean happiness level. g. Interpret your results (using words and numbers).