(Solved): An experiment was conducted to determine whether giving candy to dining parties resulted in greater ...

An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed? populations, and do not assume that the population standard deviations are equal. What is the test statistic?

An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts \( (\mathrm{a}) \) and (b). a. Use a \( 0.01 \) significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? A. \( \mathrm{H}_{0}: \mu_{1}=\mu_{2} \) B. \( \mathrm{H}_{0}: \mu_{1}=\mu_{2} \) \( \mathrm{H}_{1}: \mu_{1} \neq \mu_{2} \) \( \mathrm{H}_{1}: \mu_{1}<\mu_{2} \) C. \( \mathrm{H}_{0}: \mu_{1}=\mu_{2} \) D. \( \mathrm{H}_{0}: \mu_{1} \neq \mu_{2} \) \( \mathrm{H}_{1}: \mu_{1}>\mu_{2} \) \( \mathrm{H}_{1}: \mu_{1}<\mu_{2} \) The test statistic, \( \mathrm{t} \), is . (Round to two decimal places as needed.)