1/28/2021 M8: Problem Set 1: Introduction to Statistics- Lagios
M8: Problem Set 1
Due No due date Points 0 Questions 3 Time Limit None
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Attempt History
Attempt Time Score
LATEST Attempt 1 35 minutes 0 out of 0
Score for this quiz: 0 out of 0
Submitted Sep 13, 2020 at 2:10pm
This attempt took 35 minutes.
Question 1 pts
Independent random samples were selected from population 1 and
population 2. The following information was obtained from these samples:
a) Find the 95% confidence interval for estimating the difference in the
population means (µ1 - µ2).
b) Can you be 95% confident that there is a difference in the means of the
two populations?
Your Answer:
This study source was downloaded by 100000832361371 from CourseHero.com on 04-14-2022 23:57:25 GMT -05:00
a)
https://portagelearning.instructure.com/courses/169/quizzes/6707?module_item_id=18110 1/6
https://www.coursehero.com/file/79208483/M8-Problem-Set-1-Introduction-to-Statisticspdf/
, 1/28/2021 M8: Problem Set 1: Introduction to Statistics- Lagios
a)
-.2244 <u1-u2<3.0244
b) No - we can't be completely confident.
Solution. When we look back at table 6.1, we see that 95%
confidence corresponds to z=1.96.
a) Notice that the sample sizes are each greater than 30, so
we may use eqn. 8.1:
b) Notice that the 95% confidence interval covers both positive
and negative values. Therefore, we cannot be 95% confident
that there is a difference in the two population means.
Question 2 pts
A company would like to determine if there is a difference in the number of
days that employees are absent from the East Side Plant compared to the
West Side Plant. So, the company takes a sample of 54 employees from
the East Side Plant and finds that these people missed an average of 5.3
days last year with a standard deviation of 1.3 days. A sample of 41
This study source was downloaded by 100000832361371 from CourseHero.com on 04-14-2022 23:57:25 GMT -05:00
https://portagelearning.instructure.com/courses/169/quizzes/6707?module_item_id=18110 2/6
https://www.coursehero.com/file/79208483/M8-Problem-Set-1-Introduction-to-Statisticspdf/
M8: Problem Set 1
Due No due date Points 0 Questions 3 Time Limit None
This quiz is currently locked.
Attempt History
Attempt Time Score
LATEST Attempt 1 35 minutes 0 out of 0
Score for this quiz: 0 out of 0
Submitted Sep 13, 2020 at 2:10pm
This attempt took 35 minutes.
Question 1 pts
Independent random samples were selected from population 1 and
population 2. The following information was obtained from these samples:
a) Find the 95% confidence interval for estimating the difference in the
population means (µ1 - µ2).
b) Can you be 95% confident that there is a difference in the means of the
two populations?
Your Answer:
This study source was downloaded by 100000832361371 from CourseHero.com on 04-14-2022 23:57:25 GMT -05:00
a)
https://portagelearning.instructure.com/courses/169/quizzes/6707?module_item_id=18110 1/6
https://www.coursehero.com/file/79208483/M8-Problem-Set-1-Introduction-to-Statisticspdf/
, 1/28/2021 M8: Problem Set 1: Introduction to Statistics- Lagios
a)
-.2244 <u1-u2<3.0244
b) No - we can't be completely confident.
Solution. When we look back at table 6.1, we see that 95%
confidence corresponds to z=1.96.
a) Notice that the sample sizes are each greater than 30, so
we may use eqn. 8.1:
b) Notice that the 95% confidence interval covers both positive
and negative values. Therefore, we cannot be 95% confident
that there is a difference in the two population means.
Question 2 pts
A company would like to determine if there is a difference in the number of
days that employees are absent from the East Side Plant compared to the
West Side Plant. So, the company takes a sample of 54 employees from
the East Side Plant and finds that these people missed an average of 5.3
days last year with a standard deviation of 1.3 days. A sample of 41
This study source was downloaded by 100000832361371 from CourseHero.com on 04-14-2022 23:57:25 GMT -05:00
https://portagelearning.instructure.com/courses/169/quizzes/6707?module_item_id=18110 2/6
https://www.coursehero.com/file/79208483/M8-Problem-Set-1-Introduction-to-Statisticspdf/
