A graphing calculator is recommended. Are the means for the final exams the same for all statistics class delivery types? The table below shows the scores on final exams from several randomly selected classes that used the different delivery types. Online Hybrid Face-to-Face 72 84 80 73 78 83 84 80 87 79 82 Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. Part (a) State the null hypothesis. O Ho: Honline = Hhybrid = Hface to face. O Ho: At least two of the group means Honline, Hhybrid, Hface to face are not equal. Part (b) State the alternative hypothesis. O Ha: At least two of the group means Honline: Hhybrid. Hface to face are not equal. O Ha: Honline = Hhybrid = Mface to face Part (c) Enter an exact number as an integer, fraction, or decimal. df(num) = Part (d) Enter an exact number as an integer, fraction, or decimal. di(denom) = Part (e ) State the distribution to use for the test. O F15, 13 O F13 , 2 O F13 , 15 OF2 13 OF2 , 15 Part (f) What is the test statistic? (Round your answer to two decimal places.) Part (9) What is the p-value? (Round your answer to four decimal places.) Part (h) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. p-value 1/2(p-value) 1/2(p-value) O p-value V/2(p-value) 1/2(p-value) Part (i) Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write appropriate conclusions. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (ii) Reason for decision O Since a > p-value, we do not reject the null hypothesis. O Since a > p-value, we reject the null hypothesis. O Since a