A recent survey compared the costs of adoption through public and private agencies. for a sample of 16 adoptions through a public agency, the mean cost was $21,045, with a standard deviation of $835. for a sample of 18 adoptions through a private agency, the mean cost was $22,840, with a standard deviation of $1,545. test the assumption that the population variances are equal with a 0.10 significance level. then, using a 0.05 significance level, test the hypothesis that the population means are equal. required: state the decision rule for 0.05 significance level: h0: μpublic ≥ μprivate; h1: μpublic < μprivate. note: negative amount should be indicated by a minus sign. round your answer to 3 decimal places. find the degrees of freedom for unequal variance test. note: round down your answer to the nearest whole number. compute the value of the test statistic. note: negative amount should be indicated by a minus sign. round your answer to 3 decimal places. what is the p-value? note: round your answer to 4 decimal places. can we conclude the mean cost is larger for adopting children from a private agency?