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Statistical Estimation - Quantitative Techniques - Assignment, Exercises of Quantitative Techniques

University of AllahabadQuantitative Techniques

Statistical Estimation, Mastery, Reasonable Amount, Immediately, Possible Total, Material Below, Lab Instructor, Sample Size, Fiction Readers, Standard Deviation are the key points of this assignment.

Typology: Exercises

2012/2013

Uploaded on 01/01/2013

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Quantitative Techniques in Sociology
Homework Assignment #6B: Statistical Estimation
Name: _________________________ Student ID#: _______________ Lab Time: _______
Complete the following questions on a separate sheet of paper. Be sure to: 1) show all of your work,
2) clearly label each problem, 3) put a box around your final answer, 4) use a pencil, 5) type
definitions, 6) present your work in a neat and orderly fashion, and 7) staple this cover sheet to your
other pages of completed work (do not paper-clip or fold). Remember, homework assignments are
designed to help you prepare for exams. The material covered within assignments will be very similar
to what appears on each test. Mastery of this material is crucial to pass this course. If you cannot
complete these problems by yourself, and in a reasonable amount of time, you will not be able to pass
the exam. If you are having troubles figuring out any of the material below see your lab instructor
immediately. Each item is worth up to 5 points; for a possible total of 90 points.
1) Define each of the following concepts in your own words. Give a complete and specific
definition and illustrate the concept by giving examples.
a) Statistical Estimation
b) Student’s t
c) σ2
2) A random sample of adults is taken to determine the extent of fiction reading in the
population of all adults. The average number of fiction books read in the last year is 12.3
with a standard deviation of 5.4. Construct a 99% confidence interval around the true
level of fiction reading in the population when …
a) the sample size is 20 adult fiction readers. Interpret your answer.
b) the sample is increased to 29 adult fiction readers. Interpret your answer.
c) Compare the confidence intervals you constructed in a) and b) above. How are
they different? Why are they different?
3) A random sample of 150 students is selected from a university. Their average monthly
rent is $620 with a standard deviation of $48.
a) Construct a 99% confidence interval around the average monthly rent in the
population and interpret your answer (in words and using complete sentences).
b) Construct an interval estimate around the average monthly income that allows you
to be 90% sure you have captured the true population parameter. Interpret your
answer.
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Quantitative Techniques in Sociology Homework Assignment #6B: Statistical Estimation

Name: _________________________ Student ID#: _______________ Lab Time: _______

Complete the following questions on a separate sheet of paper. Be sure to: 1) show all of your work,

  1. clearly label each problem, 3) put a box around your final answer, 4) use a pencil, 5) type definitions, 6) present your work in a neat and orderly fashion, and 7) staple this cover sheet to your other pages of completed work (do not paper-clip or fold). Remember, homework assignments are designed to help you prepare for exams. The material covered within assignments will be very similar to what appears on each test. Mastery of this material is crucial to pass this course. If you cannot complete these problems by yourself, and in a reasonable amount of time, you will not be able to pass the exam. If you are having troubles figuring out any of the material below see your lab instructor immediately. Each item is worth up to 5 points; for a possible total of 90 points.

  2. Define each of the following concepts in your own words. Give a complete and specific definition and illustrate the concept by giving examples.

a) Statistical Estimation b) Student’s t

c) σ

2

  1. A random sample of adults is taken to determine the extent of fiction reading in the population of all adults. The average number of fiction books read in the last year is 12. with a standard deviation of 5.4. Construct a 99% confidence interval around the true level of fiction reading in the population when …

a) the sample size is 20 adult fiction readers. Interpret your answer.

b) the sample is increased to 29 adult fiction readers. Interpret your answer.

c) Compare the confidence intervals you constructed in a) and b) above. How are they different? Why are they different?

  1. A random sample of 150 students is selected from a university. Their average monthly rent is $620 with a standard deviation of $48.

a) Construct a 99% confidence interval around the average monthly rent in the population and interpret your answer (in words and using complete sentences).

b) Construct an interval estimate around the average monthly income that allows you to be 90% sure you have captured the true population parameter. Interpret your answer.

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c) Compare the confidence intervals you constructed in a) and b) above. How are they different? Why are they different?

  1. A researcher wants to construct an interval estimate of the proportion of people in the population that drink coffee. He/She gathers a random sample and finds that 68% of respondents are coffee drinkers.

a) Construct a 99% confidence interval around π assuming that the researcher

sampled 180 people. Be sure to interpret your answer.

b) Construct a 99% confidence interval around the proportion of people in the population who drink coffee assuming that the researcher sampled 95 people. Be sure to interpret your answer.

c) Compare the confidence intervals you constructed in a) and b) above. How are they different? Why are they different?

  1. Below is a random sample of the number of cancelled flights out of Sea-Tac International airport on 9 different days.

3, 6, 8, 4, 2, 5, 7, 9, 1

a) Find the point estimate of the population mean number of cancelled flights per day.

b) Find the point estimate of the population standard deviation.

c) Find the point estimate of the proportion of days on which more than 6 flights were cancelled.

  1. Computer Assignment* (be sure to attach a copy of your output) :

a) Construct a 95% confidence interval for your nominal variable (recode to make it dichotomous if necessary or simply choose 2 categories) and interpret your answer.

b) Construct a 95% and a 99% confidence interval for your continuous variable and interpret your answer.

c) Compare the two confidence intervals that you constructed in question 6b. How are they different? Why are they different?

  • Commands will be presented in lab.

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