Question: Testing the difference between two means. Identify the claim and state Hο and Ha?, (b) use table 4 in Appendix B to find the critical value(s) and identify the rejection regions, (c) find the standardized test statistic z, (d) decide whether you should reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. In each exercise, assume the samples are randomly selected and that the samples are independent.

A restaurant association says that households in the U.S. headed by people under the age of 25 spend less on food away from home than households headed by people ages 55-64.

Money spent eating out – Two samples are taken, one from each age group – people under the age of 25 and people ages 55-64. The mean amount spent for 40 households headed by people under the age of 25 \({{\bar{X}}_{1}}\) = $1600 dollars and \({{s}_{1}}\) = $230 dollars. The mean amount for 40 households headed by people ages 55-64, \({{\bar{X}}_{2}}\) = $2040 dollars and \({{s}_{2}}\) = $380 dollars. Use α = 0.05. Do the new samples lead to a different conclusion (than exercise 16)?