12. You are a college student, and you have a friend at a rival university. The...
12. You are a college student, and you have a friend at a rival university. The two of you compete in almost everything! One day, your friend boasted that students at her university are taller than the students at yours. You each gather a random sample of heights of people from your respective campuses. Your data are displayed below (units are inches).
Your friend's data: (checksum: 1263.2)
| 70.9 | 74.4 | 63.2 | 71.4 | 67.4 | 73.6 | 71.4 | 63 | 69.8 | 75.5 |
| 68.3 | 68.1 | 71.4 | 70.2 | 63.6 | 73.1 | 74.4 | 73.5 |
Your data: (checksum: 1372.5)
| 63 | 67.1 | 69.2 | 61.1 | 71.3 | 72.1 | 71.4 | 61.8 | 77.7 | 67.5 |
| 75.6 | 64.7 | 70.1 | 65.5 | 69 | 66.8 | 70.5 | 69.9 | 64.9 | 73.3 |
Construct a 98% confidence interval for the difference in mean height between the two college populations.
a) State the parameter of interest, and verify that the necessary conditions are present in order to carry out the inference procedure.
b) Find the estimate for the degree of freedom and the margin of error.
Degree of freedom:
Margin of error:
c) Find the confidence interval: (,)
d) Interpret your 98% confidence interval in context.
13. You have restaurants in two major cities. You want to test
out a new menu item. You offer a small sample to a random sample of
customers in each city. You are interested in estimating the
overall difference in proportion of customers between the two
cities who would purchase this new item. In the first city, 72 out
of 173 said that they would purchase the item if it was available.
In the second city, 80 out of 262 said yes.
- Estimate the overall difference in proportions of customers who
would buy this product between the two cities. Use a 99% confidence
level.
a) State the parameter of interest. Verify that the necessary conditions are present in order to carry out the procedure.
b) Find the margin of error.
- EBP=
c) Write out the confidence interval: (,)
d) Interpret the 99% confidence interval in context.
Homework Answers
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12. You are a college student, and you have a friend at a rival
university. The...
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