STAT 2000 Lecture Notes - Lecture 7: Contingency Table, Polskie Radio Program Iii, Polskie Radio Program I
28 Jun 2018
School
Department
Course
Professor
Examples of Units
Unit 2
1. Slide U2 – 6
Many drivers buy premium gasoline in the belief that they will get better gas mileage
rather than regular gasoline. To test this belief, a sample of 8 cars is taken. Each car is run
for one tank on regular gas and one tank on premium gas, with the order randomly
determined. The mileage (in miles per gallon) is measured for each car for each type of
gasoline
2. Slide U2 – 38
A sample of three women and four men is taken to measure their heights. Suppose we
know that heights X1 of women follow a normal distribution with mean 165 cm and std.
dev. 4 cm, and that heights X2 of men follow a normal dis. with mean 178 cm and std.
dev. 6cm. What is the probability that the mean height of women is greater than the mean
height of the men in the sample?
3. Unit 2 – 44
The tar content X1 for regular cigarettes of this brand follows a normal dis. with std. dev.
0.5 mg and tar content X2 for light cigarettes of this brand follows a normal dis. with std.
dev. 0.4 mg.
4. Unit 2 – 64
We would like to estimate the difference in the mean gasoline price in Winnipeg and
Calgary.
The gasoline prices (in cents/ litre) for a random sample of 8 Winnipeg gas stations and 5
Calgary stations are recorded one day:
Winnipeg 119.9 122.4 121.7 120.9 121
122.9 119.9 121.7
Calgary 117.9 120.4 118.4 122.9 117
5. Unit 2 - 90
There is a belief that a power plant in the city is increasing the air pollution in the vicinity
of the plant. A sample of measurements of carbon monoxide (in mg/m3 of air) in the
vicinity of the plant is obtained for comparison with another sample obtained from other
locations in the city.
Unit 3
1. U3 – 2
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Document Summary
Many drivers buy premium gasoline in the belief that they will get better gas mileage rather than regular gasoline. To test this belief, a sample of 8 cars is taken. Each car is run for one tank on regular gas and one tank on premium gas, with the order randomly determined. The mileage (in miles per gallon) is measured for each car for each type of gasoline: slide u2 38. A sample of three women and four men is taken to measure their heights. Suppose we know that heights x1 of women follow a normal distribution with mean 165 cm and std. dev. 4 cm, and that heights x2 of men follow a normal dis. with mean 178 cm and std. dev. What is the probability that the mean height of women is greater than the mean height of the men in the sample: unit 2 44.
