Question

A restaurant owner is tired of their servers complaining about how certain age groups of customers...

A restaurant owner is tired of their servers complaining about how certain age groups of customers tip worse than others. The owner recorded all the tips over the course of one day and the age of the customers tipping. instead of the amount, the percent of the tip is recorded. the customers are organized by certain age brackets and the data is provided below. can you run a test to determine whether there is a relationship between age group and tipping percent based on the data? if so, state your conclusion. use a level of significance (alpha) equal to .05

Question 1 options:

there's no evidence of a relationship between tipping and age of customers

there's no evidence of a relationship between tipping and customer age

we can't draw conclusions from this data because different ages are represented differently

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Answer #1

To determine whether there is a relationship between age group and tipping percent based on the data, you need do the test for population correlation coefficint  .

Wher X=age group,Y=tipping percent.

First calculate the sample correlation based on the given data.

Your hypothesis will be

.

The test statistics will be

The 5% rejection region will be

Reject H0 if observed value of the test statistics .

Hope this help to get your answer.

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