An experiment was performed to attempt to answer the question posed in Question 12. In the experiment, 48 Israeli college students were randomly assigned to eat in groups of six. Before ordering, half of the groups were told they would each be responsible for individual meal costs and the other half were told that the cost would be split equally among the six people at the table. The cost of meals per person was recorded. Summary statistics are given below: Payment Type Split Individual Bill Sample 24 24 size Sample $37.29 $50.92 mean Sample $12.54 $14.33 st. dev. Suppose the 95% confidence interval for usplit - Hindividual is ($5.59, $21.67). Which of the following is the best interpretation of this confidence interval in the context of the problem? We're 95% confident the difference in means is between $5.59 and $21.67. We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who split the bill than for those paying individually. We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who split the bill than for those paying individually for those in the study. We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who pay for the bill individually than for those who split the bill. We're 95% confident a person who splits the bill will pay between $5.59 and$21.67 more for their meal compared to if they had to pay individually.

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An experiment was performed to attempt to answer the question posed in Question 12. In the
experiment, 48 Israeli college students were randomly assigned to eat in groups of six. Before
ordering, half of the groups were told they would each be responsible for individual meal costs
and the other half were told that the cost would be split equally among the six people at the
table. The cost of meals per person was recorded. Summary statistics are given below:
Payment Type
Split
Individual
Bill
Sample
24
24
size
Sample
$37.29 $50.92
mean
Sample
$12.54 $14.33
st. dev.
Suppose the 95% confidence interval for usplit - Hindividual is ($5.59, $21.67). Which of the
following is the best interpretation of this confidence interval in the context of the problem?
We're 95% confident the difference in means is between $5.59 and $21.67.
We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who split
the bill than for those paying individually.
We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who split
the bill than for those paying individually for those in the study.
We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who pay
for the bill individually than for those who split the bill.
We're 95% confident a person who splits the bill will pay between $5.59 and$21.67 more for their
meal compared to if they had to pay individually.
Transcribed Image Text:An experiment was performed to attempt to answer the question posed in Question 12. In the experiment, 48 Israeli college students were randomly assigned to eat in groups of six. Before ordering, half of the groups were told they would each be responsible for individual meal costs and the other half were told that the cost would be split equally among the six people at the table. The cost of meals per person was recorded. Summary statistics are given below: Payment Type Split Individual Bill Sample 24 24 size Sample $37.29 $50.92 mean Sample $12.54 $14.33 st. dev. Suppose the 95% confidence interval for usplit - Hindividual is ($5.59, $21.67). Which of the following is the best interpretation of this confidence interval in the context of the problem? We're 95% confident the difference in means is between $5.59 and $21.67. We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who split the bill than for those paying individually. We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who split the bill than for those paying individually for those in the study. We're 95% confident the average cost of a meal is between $5.59 and $21.67 more for those who pay for the bill individually than for those who split the bill. We're 95% confident a person who splits the bill will pay between $5.59 and$21.67 more for their meal compared to if they had to pay individually.
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