1) Based on the information provided in the Part One scenario, calculate the 93"" confidence interval (95 '00} for the mean diflerence in glycosolated hemoglobin. Show you work and be sure to report both the lower and upper bounds of that interval. Interpret the 959%. CI. As an a ded bonus, C can also he used to test a null hypothesis, In this scenarirL we are told that the glycosolated hemoglobin of participants were measured at the beginning and then again 3 months later, Let us assume that the null hypothesis states that the percentage of mean ditTerenee in the glyei'Jsolated hemt'ngt'Jbin will be zero. Consider the 955-\" Cl that you calculated in question 2 above. Does the null value fall inside or outside of that 95 I Cl? Bi d on that, would you Rej ct or Fail to R"]ect the null hypothesis? 4) Calculate a 999,-" confidence interval (99'1"?) '1') for the mean dittcrencc in glvcosolatcd hemoglobin. Show you work and report both the lower and upper bounds of that interval. Interpret the 999-?) CI a1 (1 describe how this , "EziCl compares to the 93. 0C] that you c lculated in Question 1. PART ONE: CONFIDENCE INTERVALS An experiment was conducted to study responses to different methods oftaking insulin inpatients with type I diabetes. Twenty patients were randomly selected to participate in this study. For each patient. the percentage of glyeosolated hemoglobin (llgbAlc) was measured before (baseline) and three months after taking a nasal spray insulin treatment. Suppose that we observe a mean difference in percentage llgbAlc of().()45() (i.e. the percentage ofllgbAlc at baseline minus the percentage of llgbAlc at 3 months) with a standard deviation equal to 0.8075. [No'rrz Don't round too soon in the calculations. Keep four decimal places as you work through the calculations and then round up to two decimal places for your final answer] Before calculating the 95% condence interval, it is always a good plan to first identify the values for the key elements in the formula. From White (2020). we know that the formula for a confidence interval for a mean difference where d : the sample's estimate of the mean difference t( I) confidence factor \"7 say _ ' _ , the sample s estimate of T! the standard error ofthe difference You will need to refer to Table A3 from White (2020) to select the appropriate condence factor for a 95%Cl and a given degrees of freedom. A copy of the table has been provided under the Biostats Assignment 2 link in Blackboard. [Norm Always use a \"0.05 area in two tails" in this class unless otherwise told] l'ngc: [Stank