In: Statistics and Probability
the leaders of the study are interested in the determining whether there is a difference in mean annual contributions for individuals covered by TSA's and those with 401(k) retirements program. you can use the results form the following table to test if the population mean of individual covered by TSAs is higher than those covered by 401(k).
TSA 401(K)
n1 = 8 n2=10
x1= 322.5 x2=298.3
s1=48.3 s2= 53.3
1. Formulate the appropriate null and alternative hypotheses
2. Determine the critical value Tc(small samples) Zc (big samples)
3. determine rejection region and develop the decision rule
4. Compute the test statistic(t) for small samples or p-value
specify the significance of level U