Question

Lexie is a waitress. She believes that she earns more tips, on average, when she curls her hair before work rather than pulling it back in a ponytail. In order to investigate this belief, she writes “curls” on 30 slips of paper and “ponytail” on 30 slips of paper, puts them in a hat and mixes them well. Each time she gets ready for work she randomly selects one piece of paper to determine how she should do her hair that day. Using the data she collects, she carries out a t test for a difference in means in order to test these hypotheses:

Answer 1

Explanation:

An interpretation of the P-value of a significance test for a two-sample difference of population means should recognize that the P-value is computed by assuming that the null hypothesis is true, meaning, by assuming that the true population means are equal to each other. Choice A gives the correct interpretation of this conditional probability.

Answer 2

Assuming the true difference (Curls – Ponytail) in the mean amount of tips received is 0, there is a 0.0375 probability that Lexie would observe a difference in sample means as greater or greater than she did by chance alone.

Explanation: