A researcher wants to compare a sample of pure-breed

A researcher wants to compare a sample of pure-breed

Subject: Mathematics    / Statistics
Question

Only need the segments that are in Bold answered. (9 questions total)

6. A researcher wants to compare a sample of pure-breed German Shepherd (n = 21) puppies to the typical German Shepherd on skills of drug detection (measured in minutes; 0-5). He knows that the average search rate is 1.36 but does not know the variance. He wants to test if his new litter of puppies will search at a similar rate as the typical German Sheppard search dog. He expects his new litter to perform just as well as the typical search dog.

⢠What are the researcherâs independent and dependent variables?

⢠Independent= New litter of puppies

⢠Dependent= average search age

⢠What are the null and alternative hypotheses (use the appropriate symbols not words)?

⢠H0=µ1= µ2

⢠H1= µ1â µ2

⢠What is the appropriate test for the researcher to use? Sample t test

⢠Why is that statistic appropriate? The variance is not known so we are able to approximate with the t distribution.

If applicable to the specific test:

⢠What are the testâs assumptions? Sample is from population that follows normal distribution

⢠What are the testâs df? n-1 21-1= 20

⢠What is the appropriate critical value? -1.36 or 1.36

⢠If the research obtains a test statistic of 2.25, would the researcher retain or reject H0?

⢠Should the researcher do any follow up tests or make any graphs/charts?

⢠Interpret the findings in APA style

7. Dr. Hughes researches the pattern of vending machine use on campus. He has found that two factors increase the use of vending machines (0-10) in college; one is time of the semester and one is time of day. He wants to determine if these two factors influence one another to form a more specific pattern of vending machine use. Dr. Hughes goes to several locations on campus to watch the use of vending machines. He records the time of day and the time within the semester. He later then transposes those times into groups (time of day 1=morning, 2=afternoon, 3=evening, 4=late night; time of semester 1=early, 2=late).

⢠What are the researcherâs independent and dependent variables?

⢠Independent= time of the semester and time of the day

⢠Dependent= pattern of vending machines used on campus

⢠What are the null and alternative hypotheses (use the appropriate symbols not words)?

⢠H0= µ1= µ2

⢠H1= µ1â µ2

⢠What is the appropriate test for the researcher to use? Factorial ANOVA

⢠Why is that statistic appropriate? Measuring two different samples.

If applicable to the specific test:

⢠What are the testâs assumptions? sample is independent and that there is equal variance within the population

⢠Should the researcher do any follow up tests or make any graphs/charts?

⢠Interpret the findings in APA style

8. A student researcher wanted to determine the relationship between the number of time students attend class (0-48) and their satisfaction with the class overall (1-10 scale). Twenty-six students participated in the study. They believe that the more students attend class the happier they will be with the class.

⢠What are the researcherâs independent and dependent variables?

⢠Independent= Number of classes students attend

⢠Dependent= student satisfaction

⢠What are the null and alternative hypotheses (use the appropriate symbols not words)?

⢠H0= µ1= µ2

⢠H1= µ1â µ2

⢠What is the appropriate test for the researcher to use? Pearson Correlation coefficient

⢠Why is that statistic appropriate? The researcher wants to determine the relationship between the number of classes students attend and their satisfaction.

If applicable to the specific test:

⢠What are the testâs assumptions? The samples are drawn at random.

⢠What are the testâs df? 48-2= 46

⢠What is the appropriate critical value? 2.01

⢠If the research obtains a test statistic of .211, would the researcher retain or reject H0? the researcher would reject the null hypothesis.

⢠Should the researcher do any follow up tests or make any graphs/charts? A scatterplot would confirm the linear relationship and show the slope.

⢠Interpret the findings in APA style

10. A group of concerned citizens are interested in whether home owners in area A (n = 22) pay more property taxes than home owners in area B (n = 24). They would like to compare the average amount of property tax paid (measured in dollars; minimum payment is $1) in each area. Each area has roughly 100 unique homes; for a total of 200 homes.

⢠What are the researcherâs independent and dependent variables?

⢠Independent= Homeowners area

⢠Dependent= Property taxes

⢠What are the null and alternative hypotheses (use the appropriate symbols not words)?

⢠H0=

⢠H1=__________________

⢠What is the appropriate test for the researcher to use? 2 independent sample t test

⢠Why is that statistic appropriate? We are comparing two independent samples

If applicable to the specific test:

⢠What are the testâs assumptions? sample is drawn from a normal population

⢠What are the testâs df? 100+100-2=198

⢠What is the appropriate critical value?

⢠If the research obtains a test statistic of .429, would the researcher retain or reject H0?

⢠Should the researcher do any follow up tests or make any graphs/charts?

⢠Interpret the findings in APA style