Calculate the t statistic assuming equal population variance

Assignment Help Basic Statistics
Reference no: EM131224989

The points for each sub-question are shown in parentheses. As other homework assignment, there are 35 points for this assignment.

1. You believe that persons who grew up in small towns are more likely to vote Republican than those who grew up in large cities.

a. What is your research hypothesis and what is your null hypothesis?

b. When you test the hypothesis, would you use a one or two tailed test?

2. You have collected data from 61 students and found the following:

                                                                     Gender

Hours study per week:                                  Males                                   Females               Total

Mean                                                              10.5                                        18.4                        15.81

S2, the variance                                            40                                           60                           90

N                                                                    20                                           41                           61

a. Test the null hypothesis that students at CMU study an average of 13 hours per week. Use the 0.05 level of significance. (2)Show your work.

b. Calculate the standard error, the standard deviation of the sampling distribution, of the difference between these the mean number of hours studied by males and females.

Assume equal variances for males and females.

c. Calculate the degrees of freedom for a test of difference of mean hoursstudied between males and females. Assume equal population variances.

d. What value of t would need to reject he null hypothesis that women study less than men? Use the 0.05 level of significance

e. Calculate the t statistic assuming equal population variances.

f. Would you reject the null hypothesis that women study less than men?

3. You believe that Catholics go to church services more often than Protestants You surveyed 200 Catholics and 300 Protestants and asked them how often they go to church services. Sixty percent of Catholics stated that they went to church services in the last month. Fifty percent of Protestants said they went to church services in the last month. From these data, can you conclude that your research hypothesis is true? That is can you reject the null hypothesis?
Set alpha = 0.05(8)

Show your work.

4. Using SPSS and the GSS2012 file,

a. Obtain frequencies for the variables HRS1 and Marital.

b. Conduct a difference of means test comparing the number of hours persons worked last week for those persons who were married with those who had never been married. (Ignore those who were widowed, divorced, or separated.)

c. Would you use the results assuming equal variance or unequal variance? Why?

d. What would you conclude from the results? Why?

Submit your SPSS output along with the answers to parts c and d.

Reference no: EM131224989

Questions Cloud

Explain nature of that study discussing research questions : Explain the nature of that study discussing the research questions, the data, the methodology and the results. Form what you believe would be an important next research question that would extend the results within that area of study.
What is the probability that the typist makes : What is the probability that the typist makes at least four errors; - What is the probability that the typist makes at most two errors?
Define the challenges that you may face when you interact : Considering your personal and professional life, articulate how you might use your knowledge of intercultural communication to be an effective communicator across cultures. Define the challenges that you may face when you interact with other cultu..
What is the purpose of a swot analysis : What is the purpose of a SWOT analysis?  How might it contribute to strategy formulation at the functional-level? Please focus your response on the theory presented in the textbook, NOT your personal opinion.
Calculate the t statistic assuming equal population variance : SOC 200 - Shapiro Fall 2015 - Calculate the standard error, the standard deviation of the sampling distribution, of the difference between these the mean number of hours studied by males and females and what is your research hypothesis and what is..
How do we know that people have rights : Define the following: a right, a legal right, a moral right, a human right. How are they related?
Does the ordinance violate the due process : Aurora, Colorado, passed an ordinance banning pit bulls and other selected breeds of dogs from being inside the city limits. The American Canine Foundation, an organization aimed at improving the canine industry, sued to have the ordinance struck dow..
Summarize your explanations with regards to the stock : Please summarize your explanations with regards to the stock and ETF selections in a few paragraphs for your discussion and explain why you think these securities are good picks.
Explain the meaning of surplus units and deficit units : Explain the meaning of surplus units and deficit units. Provide an example of each. - Which types of financial institutions do you deal with?

Reviews

Write a Review

 

Basic Statistics Questions & Answers

  Find out the value of correlation coefficient

Find out the value of correlation coefficient. Make a regression model to predict winning percentage utilizing all of the data.

  Representative of all us adults

In a sample of 1100 U.S. adults,172dine out at a restaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S. adults, comp..

  Discuss why the f-test and not the t-test is used in

discuss why the f-test and not the t-test is used in conducting the global test of coefficient in a multiple regression

  A bag of 31 tulip bulbs contains 12 red tulip bulbs 12

a bag of 31 tulip bulbs contains 12 red tulip bulbs 12 yellow tulip bulbs and 7 purple tulip bulbs.a what is the

  Probability that salt on hand will suffice

Approximate the probability that the salt on hand will suffice for the next 50 days - what assumption did you make in solving part (a)?

  Find the mean and the standard deviation for the number of

several psychology students are unprepared for a surprise truefalse test with 11 questions and all of their answers or

  Show that given sequence is not converge in any other sense

Show that given sequence does not converge in any other sense and therefore convergence in distribution does not imply convergence in any other form.

  When running an analysis of variance anova two-factor

when running an analysis of variance anova two-factor replication two-way test you get a p-value for the interaction

  Find percent of the population talk between given time

A population standard deviation of 50 minutes. What percent of the population talk between 175 minutes and 245 minutes?

  What is the probability that the worker will be female

64% of the workers at Motor Works are female, while 66% of the workers at City Bank are female. If one of there companies is selected at random (assume a 50-50 chance for each), and then a worker is selected at random, what is the probability that..

  Expenditure on advertising per year in millions

In the following regression output using data on 40 ferns In Ine textile Industry, the variable PROFIT is measured in millions of dollars per year. ADV Is expenditure on advertising per year in millions. and RD Is expenditure on research ar4 develo..

  Weather and ground operations

Airlines monitor the causes of flights arriving late. 75% of flights are late because of weather, 35% of flights are late because of ground operations. 10% of flights are late because of weather and ground operations.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd