How does the shape of a tdistribution change as the sample size increases? Explain
How does the shape of a tdistribution change as the sample size increases? Explain
Stats Homework
Chapter 8: Testing Means Questions
1.What is the main limitation ofthe ztest? Name the alternative tothe ztest that does not have thislimitation.
3.How does the shape of a tdistribution change as the sample sizeincreases? Explain
5.Name the ttest used in hypothesis testing to evaluate the mean observed inone sample.
11. In the following studies, state whether the one sample ttest is an appropriate test statisticto analyze data. If not, then explain why it is not appropriate.
a)A study measuring differencesin attitudes about mortality about Democrats and Republicans.
b)A study testing night-shiftworkers sleep the recommended 8 hours per day.
c)A study evaluating the bodymass index (BMI) score of athletes compares to the general population.
1.Will each of the followingincrease, decrease, or have no effect on the value of the test statistic in aone-sample ttest?
a)The sample size is increased
b)The level of significance isreduced from .05 to .01
c)The sample variance is doubled
d)The difference between thesample and population mean is increased
Chapter 9: Testing Means Questions
1.What is the between-subjectsdesign?
3 Of the two ways to select two samplesdescribed in this chapter, which type of sampling is commonly used inexperiments?
7.Name two measures used ofproportions of variance. Which measure is the least conservative?
11. In thefollowing studies, state whether you would use a one-samplettest or a two- independent-sample ttest.
a)A study measuring differencesin attitudes about morality among men and women
b)A study testing whethernight-shift workers sleep the recommended 8 =hours per day
c)An experiment measuringdifferences in the brain activity among rats placed on either a continuous or anintermittent reward schedule.
13. State the total degrees of freedom for the following t tests:
a)N = 12 for a one- sample ttest
b)Df1 =12, n2 = 19 for a two independent- sample t test
c)Critical value = 1.645 for aone-tailed test, a = o.5
d)Critical value = 63.657 for atwo-tailed test, a =.01
15. State the critical values for a two-independent- sample t test given the following conditions:
a)Two- tailed test, a=.05, n = 12 in each group
b)One-tailed test, lower-tailcritical, a = .01
c)Two-tailed test, a = .01, total df = 26
d)One- tailed test, upper-tailcrticial, a = .05, nfor both group combined is 30
Chapter 11: One- Way Analysis of Variance
1.Explain the meaning of thefollowing terms for ANOVA:
a)One- way,
b)Between-subjects,
c)Within subjects
3A researcher conducts a one-wayANOVA in which one independent variable has four levels. How many differentgroups are in this study?
7.Define the following terms:
a)Sum of squares between groups
b)Sum of squares error
c)Mean square between groups
d)Mean square error
1.State the degrees of freedomerror in each of the following between-subjects tests.
a)A researcher tests how nervouspublic speakers get in front of a small medium, or large audience. Tenparticipants are randomly assigned to each group.
b)A consultant measures jobsatisfaction in a sample of 15 supervisors, 15 managers, or 15 execitives at alocal firm.
c)A high school counselor has 12students in each of four classes rate how much they like their teacher.
15What is the decision at a .05level of significance for each of the following tests? Hint:find the critical value for each test; then make a decision.
a)F (3, 26) = 3.00
b)F (5, 20) = 2.54
c)F (2, 12) = 3.81
d)F (4, 30) = 2.72
Chapter 12: Two- Way Analysis of Variance
1.What is the difference betweena one-way ANOVA and a two-way Anova?
3 Define the following key terms:
a)Cell,
b)Main effect,
c)Interaction,
5.. When looking at a graph ofan A X B interation, describe the pattern that indicats the interaction ispossibly significant.
7.State fours assumptions betweena one-way ANOVA and a two-way Anova.
1.State the total number ofgroups for each of the following examples of a two- way between- subject ANOVAtest.
a)A psychologist administers asmall, medium, or large does of drugs to a sample of mice ( facter a: drugchoice) and measures reward – seeking behavior in three- experimental trials (facter b: trials).
b)An industrial organizationalpsychologist measures the GPA among men and women graduate students ( facter a:sex) with low, medium, or high leadership potential ( facter b: leader potential).
15A psychotherapist asks a sampleof violent and nonviolent criminals from impoverished, middle class, and upper-class backgrounds to indicates how accountable they feel they are for theircrimes. Identify each factor and the levels of each factor in this example.
21. For each ofthe following, state whether F = 0 for a main effect, the AX B Interaction, orboth:
a)Cell means are equal
b)Row totals are equal
c)Coloum totals are equal
Chapter 13: (Correlation and Linear Regression)
1.What is correlation?
3What information does thestrength of a correlation coefficient convey?
5.What is coefficient ofdetermination?
1.State which correlationcoefficient ( Pearson, Spearman, point- biserial, or phi) should be used giventhe following information.
a)Both factors are interval orratio scale
b)Both factors are ranked
c)One factor is dichotomous, andthe other factor is continuous
13State whether each of thefollowing is either an exampleof a positive correlation or a negative correlation.
a)Higher education level ishigher associated with a larger annual income
b)The smaller the class size, themore students believe they are receiving a quality education
17. A medical student found a negative relationship between exercise (in minutes per week) and stress related health problems ( r= .26). which of thefollowing conclusions is appropriate? Explain by the other option is not.
a)6.76% of the variance instress-related health problems can be explained by the amount of weeklyexercise.
b)Increasing the amount ofexercise per week will cause stress related health problems to decrease.
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