Econ 2810 Intro to Statistics and Computing In Economics 2016 (Problem Set 3)
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Econ 2810 Intro to Statistics and Computing In Economics 2016
Problem Set 3
1. A manufacturer of paper products wants to compare the variation in daily production levels at two
paper mills. Independent random samples of days are selected from each mill, and the production
levels (in units) are recorded. The data are show in the table below. Do the data provided provide
evidence to indicate a difference in the population variances at the two paper mills. Use α = 0.10.
Mill 1: 34 18 28 21 40 23 29
25 10 38 32 22 22
Mill 2: 31 13 27 19 22 18 23 22 21
18 15 24 13 19 18 19 23 13
2. Construct a 95% confidence interval for the difference, ρ1 − ρ2, in each of the following situations:
a. n1 = 400, ρˆ1 = 0.65, n2 = 400, ρˆ2 = 0.58
b. n1 = 180, ρˆ1 = 0.31, n2 = 250, ρˆ2 = 0.25
c. n1 = 100, ρˆ1 = 0.46, n2 = 120, ρˆ2 = 0.61
3. A consumer advocacy group wants to determine whether there is a difference between proportions of
the two leading automobile models that need major repairs within 2 years of purchase. A sample of 400
two-year owners of model 1 is contacted, and a sample of 500 two-year owners of model 2 is contacted.
The numbers X1 and X2 of owners who report that their cars needed major repairs within the first
two years are 53 and 78, respectively. Test the null hypothesis that no difference exists between the
proportions in population 1 and 2 needing major repairs against the alternative that a difference does
exist. Use α = 0.10
4. Suppose you select independent random samples of five female and five male high school seniors and
record their SAT scores. The data is shown below. Based on this data, calculate the sum of squares
for groups (SSG), error (SSE), and total (SST).
Table 1: SAT scores for High School Students
Females Males
539 490
560 520
590 550
620 580
650 610
1
[Solved] Econ 2810 Intro to Statistics and Computing In Economics 2016 (Problem Set 3)
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- Submitted On 07 Nov, 2016 09:02:18
- Halsey
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