If we have heterogeneity of variance - other than we violated an assumption of the test , what else would it tell us?

Need help with parts (a) to (d) on this Intro to Probability and Statistics homework problem. Make sure the answers you provide are lengthy. Don't give short answers. Also, make sure your handwriting is neat and readable.    Statistically speaking, the typical romantic couple spends 3 hours of qualitytime together each day, with a variance of 1.5 hours. During my teenageyears, I was under the assumption that a friend and I were a couple, but sherecently pushed back on that claim. So, I logged our time spent together over aperiod of 92 days. As it turned out, we spent 2.65 hours together on a typicalday, again with a variance of 1.5 hours. Assuming that all of the time we spendtogether is “quality” and that relationship time spent is governed by the normaldistribution, do I have sufficient statistical evidence to claim that we were, infact, in a romantic relationship? ˆ(a)  Find and interpret the z-score of our time spent together, specificallyreferencing what information the sign…

When using an Analysis of Variance test, in order to find out which specific means are different from one another which test is used? a. t-test b. post hoc test c. Cohen’s D test d. Chi-square test

We are running a hypothesis test to see if blood pressure of African zebras differs significantly from Arabian horses.  We assume blood pressure in both populations is normally distributed and both populations have the same population variance in blood pressure which is unknown to us, so we use the sample variances to estimate the standard error for our calculations.  We have a sample of size 9 for the African zebras and a sample of size 16 for the Arabian horses.  How many degrees of freedom does our test statistic have?