Research2: ARE DOGS LIGHTER THA Suppose Jerred, an owner of an animal shelter, is interested in comparing the weights of the adult male dogs in his shelter to Research1: ARE DOGS HEAVIER THAN CATS? Point Estimate Point Estimate the weights of the adult male cats. He randomly selects 12 dogs and 19 cats and records each animal's weight in pounds. n1 n1 Jerred conducts a two-sample f-test to compare the mean weight of the dogs in his shelter to the mean weight of the cats. The n2 n2 table shows the results of Jerred's data. x1 x1 Sample Sample 1x2 Population Population Population Sample X2 mean std dev size mean std dev x1-xz x1-x #1 (unknown) 1 (unknown) m = 12 X1 = 24.5 81 = 6.8 #2 (unknown) 02 (unknown) ma = 19 x2 = 12.1 52 = 5.5 Standard Error, t stat, P_value Standard Error, t_stat, P_value $1 given $1 given $2 given $2 given There are two different research hypotheses. Copy and paste and modify your results as needed. a=$1421 a=s1421 Highlight in BOLD the correct p value for each hypothesis (lower, upper or two tailed) b=s2422 b=$2122 SE =sqrt(a+b) SE =sqrt(a+b) Type out your answers to the questions below in THIS box t stat =(x1-x2)/SE t stat =(x1-x2)/SE dof long formula dof long formul 1) State the null and alternative hypotheses for BOTH scenarios (see top of tables) lower tail use T.Dist() lower tail use T.Dist() Research1: upper tall 1.000000 =1-lower upper tail 1.000000 =1-lower two tail double the smallest two tall double the Research2 critical values (input alpha) critical values (input alpha) alpha alpha alpha/2 0.000 use if two tailed alpha/2 0.000 use if two t 2) Compare the p_value to p_critical. Do you "reject" or "not reject" your null hypothesis? t crit use T.INV() t crit use T.INV() In words what does this mean: Research1: margin of error, limits margin of error, limits m A at crit *SE m = t crit SE LL point estimate - m LL =point esti Research2 UL -point estimate + m UL -point estir range UL - LL range UL - LL 3) compare the t_value to t_critical. Do you get the same result? Type in the values and answer below. Research1: Research2: 4) the spreadsheet should automatically calculate the confidence intervals, Does this confidence interval confirm your conclusions? Type out the values and answer below