A random sample of 10 baseball players is taken to determine the characteristics of player's salaries.Their salaries (in $1,000's) are:            35,    40,    90,    75,    60,    70,    120,    50,    45,    55   Find the point estimate of the population mean salary. Find the point estimate of the population standard deviation of salary. Find the point estimate of the proportion of the population earning less than $50,000.                                                                                                     __ Suppose you select a random sample of N=81, and find X = 50, and s = 9.9.Determine the 99% confidence interval estimate of the population mean.  Interpret your answer.  Also, determine the 95% confidence interval and interpret your answer.     A random sample of 25 books is taken from a publisher's stock.On average, each sampled book has 30 typographic errors, with a standard deviation of 3.5.  Construct the 95% confidence interval estimates of the population mean. Interpret your answer.     A recent poll of 900 of your fellow students indicates that 38% would vote for you as "most likely to succeed," 33% would vote for Mickey Mouse, and 25% would vote for Donald Duck.Construct the 95% confidence intervals for each of these three proportions.  Based on these estimates, what can you say about the likely outcomes of an election with 95% confidence?     SPSS Exercises   Use the explore procedure (analyze—descriptive statistics—explore) to construct 95% confidence intervals for the population means of AGE, EDUC, and PRESTG80.Interpret each of the confidence intervals in words.   Use the frequencies procedure to get sample proportions (convert the percentages in the frequency distributions to proportions) to estimate the proportion of people in the population who favor gun permits (GUNLAW); who believe in life after death (POSTLIFE); and who are afraid to walk in their neighborhood at night (FEAR).Construct and interpret 95% confidence intervals around each of the population proportions.

Social Psychology (10th Edition)
10th Edition
ISBN:9780134641287
Author:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Publisher:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Chapter1: Introducing Social Psychology
Section: Chapter Questions
Problem 1RQ1
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  1. A random sample of 10 baseball players is taken to determine the characteristics of player's salaries.Their salaries (in $1,000's) are:

 

         35,    40,    90,    75,    60,    70,    120,    50,    45,    55

 

  1. Find the point estimate of the population mean salary.
  2. Find the point estimate of the population standard deviation of salary.
  3. Find the point estimate of the proportion of the population earning less than $50,000.

 

                                                                                                  __

  1. Suppose you select a random sample of N=81, and find X = 50, and s = 9.9.Determine the 99% confidence interval estimate of the population mean.  Interpret your answer.  Also, determine the 95% confidence interval and interpret your answer.

 

 

  1. A random sample of 25 books is taken from a publisher's stock.On average, each sampled book has 30 typographic errors, with a standard deviation of 3.5.  Construct the 95% confidence interval estimates of the population mean. Interpret your answer.

 

 

  1. A recent poll of 900 of your fellow students indicates that 38% would vote for you as "most likely to succeed," 33% would vote for Mickey Mouse, and 25% would vote for Donald Duck.Construct the 95% confidence intervals for each of these three proportions.  Based on these estimates, what can you say about the likely outcomes of an election with 95% confidence?

 

 

SPSS Exercises

 

  1. Use the explore procedure (analyze—descriptive statistics—explore) to construct 95% confidence intervals for the population means of AGE, EDUC, and PRESTG80.Interpret each of the confidence intervals in words.

 

  1. Use the frequencies procedure to get sample proportions (convert the percentages in the frequency distributions to proportions) to estimate the proportion of people in the population who favor gun permits (GUNLAW); who believe in life after death (POSTLIFE); and who are afraid to walk in their neighborhood at night (FEAR).Construct and interpret 95% confidence intervals around each of the population proportions.
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