3 1 point You are given the State and most of the Plan compo

3. (1 point) You are given the “State” and most of the “Plan” components below. Use this information to fill in the blanks for the null and alternative hypotheses, under the “Plan” statement, complete the “Solve” and “Conclude” components of the relevant significance test at the 0.05 level of significance.

Note: You may assume these 20 patrons as a simple random sample from a large population.

State: Does the expectation of good weather lead to patrons to tip more than the standard 20 percent? Psychologists studied the size of the tip in a restaurant when a message indicating that the next day’s weather would be good was written on the bill.

Here are the tips from 20 patrons, measured in percent of the total bill:

                        20.8    18.7    19.9    20.6    21.9    23.4    22.8    24.9    22.2    20.3   

                        24.9    22.3    27.0    20.4    22.2    24.0    21.1    22.1    22.0    22.7

This is one of three sets of measurements made, the others being tips received when the message on the bill said that the next day’s weather would not be good or there was no message on the bill. We want to estimate the mean tip for comparison with tips under the other conditions.

Plan: We will test, at the 0.05 level of significance, if this data is evidence that patrons will leave more than the standard 20 percent tip when a message indicating the next day’s weather would be good was written on the bill. So, we test the hypotheses

                        ________      =      ________

                        ________ _____ ________

Solve:

Conclude:

Solution