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. Can we conclude the mean cost is larger for adopting children through a private agency? Assume equal variances and let alpha be 0.05.

Group of answer choices

Reject null; there is sufficient evidence to conclude the means are different

Fail to reject null; there is sufficient evidence to conclude the means are different

Reject null; there is insufficient evidence to conclude the means are different

Fail to reject null; there is insufficient evidence to conclude the means are different