reasonable lower bound on the difference between the yields of the two varieties? Which variety would we expect to yield more? The next season a similar trial is conducted at a much larger number of sites. The data from this trial is found in the 'variety trial data.x|sx' file as well. How many trial sites were used for the trial this time? Sadly, there is an outbreak of a fungal disease across the trial region that badly affects some of the trial sites. The agronomist decides to only use any site where the mean yield for the site is more than 30% of the average yield for all the sites [ie sites that were less than 30% of average were scrapped). l[Note, the mean yield for the site is the average of the yields for the two varieties at that site}. Create a subset of the data that fit the criteria. How many trial sites should be retained? {You may do this su bsetting in R or in Excel as you prefer. If you can work it out, it will be much quicker if you use the R subset function like we did in labs! See the hints documents for assistance.) Carry out the test for difference on this subset of sites. What is the p-value given by the test this time? Can we conclude there a real difference in yield between the varieties? Problem 5. Some herpetologists suspect that sex ratio in their favourite species of turtle may be affected by the temperature during incubation. They incubate 47 eggs at 26DC, and find that 27 of the baby turtles are females. What is the best test to use, to test whether the observed sex ratio is significantly different to a 5050 sex ratio? What is the pvalue obtained when you apply this test? Would you conclude that the observed sex ratio is significantly different to a 50-50 sex ratio? The herpetologists also incubate 87 eggs at 36C, and find that 33 of the baby turtles are females. What is the best test to use, to test whether the observed sex ratio is significantly different to a 50-50 sex ratio? What is the pvalue obtained when you apply this test? Would you conclude that the observed sex ratio at 36C is significantly different to a 50-50 sex ratio? What is the best test to use. to test whether the observed sex ratio at 36DC is significantly different to the observed sex ratio at 26C? What is the pvalue obtained when you apply this test? Would you conclude that the observed sex ratios at the two different temperatures are significantly different