A statistician investigating the relationship between the amount of precipitation (in inches)and the number of automobile accidents gathered data for 10 randomly selected days.The results are shown below.(We cannot assume these variables have normal distributions. ) \[\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precigitation } & \begin{array} { c } \text { Mumber of } \\ \text { Accidents } \end{array} \\ \hline 1 & 0.05 & 5 \\ 2 & 0.12 & 6 \\ 3 & 0.05 & 2 \\ 4 & 0.08 & 4 \\ 5 & 0.10 & 1 \\ 6 & 0.35 & 14 \\ 7 & 0.15 & 7 \\ 8 & 0.30 & 13 \\ 9 & 0.10 & 7 \\ 10 & 0.20 & 10 \\ \hline \end{array}\] Calculate the Spearman rank correlation coefficient,and test to determine at the 5% significance level whether we can infer that a linear relationship exists between the number of accidents and the amount of precipitation.

r s = 0.896 H 0 : @#LAT-DLM&<su

Advertisement In a Kruskal-Wallis test to determine whether differences exist among three different advertisements,the following statistics were obtained: TS1U1B11S1U1B0 = 884,nS1U1B11S1U1B0 = 20,TS1U1B12S1U1B0 = 756,nS1U1B12S1U1B0 = 28,TS1U1B13S1U1B0 = 1061,nS1U1B13S1U1B0 = 25. -{Advertisement Narrative} Conduct the test at the 5% significance level.

H 0 : The locations of all three population

Exam 19: Nonparametric Statistics

Movie Scripts In general,before a producer agrees to make a movie,each script is thoroughly reviewed by movie editors.Suppose that the Big-Screen Film Company has recently received two scripts for new movies.To help them decide which one to produce,both are sent to 30 editors who rate the scripts to judge which one is better.Suppose that 10 editors rate script 1 better and 20 rate script 2 better. -{Movie Scripts Narrative} What is the p-value of this test?

(Essay)

4.9/5

(85)

Question 81

The sign test statistic has what kind of distribution?

(Multiple Choice)

4.7/5

(73)

Question 82

The Kruskal-Wallis test is always one tailed.The inequality sign in the alternative hypothesis is always ____________________.

(Essay)

4.8/5

(74)

Question 83

The Wilcoxon signed rank sum test requires you to rank the absolute ____________________.

(Essay)

4.7/5

(80)

Question 84

Assessments of TV Shows Because of the cost of producing television shows and the profits associated with successful shows,television network executives are keenly interested in public opinion.A network has recently developed three comedy series.The pilot of each series is shown in to 10 randomly selected people who evaluate each show on a 9-point scale where 1 = terrible and 9 = excellent.The results are shown below. Assessments of Television Shows Person Show 1 Show 2 Show 3 1 6 4 7 2 5 4 5 3 7 6 8 4 7 7 8 5 9 9 9 6 5 7 6 7 4 4 5 8 6 3 7 9 5 6 6 10 7 7 8 -{Assessments of TV Shows Narrative} Which statistical technique is appropriate if the television network executives want to compare the three comedy shows?

(Essay)

4.9/5

(73)

Question 85

A one-sample t-test is the parametric counterpart of the Friedman test for randomized block experimental design.

(True/False)

4.8/5

(83)

Question 86

The Kruskal-Wallis test is applied to compare two or more populations,when the samples are independent and the data are either ordinal or interval but not normal.

(True/False)

4.9/5

(79)

Question 87

The rejection region for the test H₀: $\rho$ _s = 0 vs.H₁: $\rho$ _s $\neq$ 0 is based on the absolute value of r_s.

(True/False)

4.9/5

(64)

Question 88

Coffee A supermarket chain has its own house brand of coffee.The general manager claims that their coffee is better than the coffee sold by a well-known Coffee Shop chain.To test the claim 40 individuals are randomly selected to participate in the following experiment.Each respondent is given the two brands of coffee to taste (without any identification)and asked to judge which one is better.Suppose that 25 people judge the Coffee Shop chain brand better,four say that the brands taste the same,and the rest claim that the supermarket brand is better. -{Coffee Narrative} Can we conclude at the 1% significance level that the general managers' claim is false?

(Essay)

4.8/5

(74)

Question 89

Use the Wilcoxon rank sum test on the data below to determine at the 5% significance level whether the location of population A is to the left of the location of population B. Sannple A: 75 60 67 54 69 Sangle B: 80 84 100 74 90

(Essay)

5.0/5

(69)

Question 90

The nonparametric counterpart of the randomized block model of the analysis of variance is the:

(Multiple Choice)

4.8/5

(76)

Question 91

A statistician investigating the relationship between the amount of precipitation (in inches)and the number of automobile accidents gathered data for 10 randomly selected days.The results are shown below.(We cannot assume these variables have normal distributions. ) Day Precigitation Mumber of Accidents 1 0.05 5 2 0.12 6 3 0.05 2 4 0.08 4 5 0.10 1 6 0.35 14 7 0.15 7 8 0.30 13 9 0.10 7 10 0.20 10 Calculate the Spearman rank correlation coefficient,and test to determine at the 5% significance level whether we can infer that a linear relationship exists between the number of accidents and the amount of precipitation.

(Essay)

4.8/5

(80)

Question 92

In a Friedman test for comparing three populations,provided that there are five blocks,the test statistic is calculated as F_r = 6.594.Then,the most accurate statement that can be made about the p-value is:

(Multiple Choice)

5.0/5

(88)

Question 93

If the rank sums for each sample are similar,the test statistic H for the Kruskal-Wallis test will be .As a result,you (do/do not)reject H₀.

(Essay)

4.9/5

(86)

Question 94

The nonparametric tests discussed in your book (Wilcoxon rank sum test,sign test,Wilcoxon signed rank sum test,Kruskal-Wallis test,and Friedman test)all require that the probability distributions be:

(Multiple Choice)

4.7/5

(82)

Question 95

Advertisement In a Kruskal-Wallis test to determine whether differences exist among three different advertisements,the following statistics were obtained: T₁ = 884,n₁ = 20,T₂ = 756,n₂ = 28,T₃ = 1061,n₃ = 25. -{Advertisement Narrative} Conduct the test at the 5% significance level.

(Essay)

4.7/5

(87)

Question 96

Song Ratings A music critic wanted to determine whether or not music listeners of different age groups evaluate a song differently.With this objective,he commissioned a survey that asked people their ratings of the most popular songs.The rating categories were: 1 = terrible,2 = fair,3 = good,and 4 = excellent.Each respondent was also asked to categorize his or her age as either: 1 = teenager,2 = young adult (20-34),3 = middle age (35-50),and 4 = over 50. The results are shown below. Song Ratings Teenager Young Adult Middle Age Senior 3 2 3 3 4 3 2 4 3 3 1 4 3 2 2 3 3 2 2 3 4 1 3 4 2 3 1 4 4 2 4 3 -{Song Ratings Narrative} Which test can the movie critic use in this situation?

(Essay)

4.9/5

(77)

Question 97

In a Wilcoxon signed rank sum test,the test statistic is calculated as T = 75.If there are n = 15 observations for which D $\neq$ 0,and a two-tail test is performed at the 5% significance level,then:

(Multiple Choice)

4.8/5

(74)

Question 98

The ____________________ correlation coefficient is used to look for a relationship between x and y when both variables are interval but do not have normal distributions.

(Essay)

5.0/5

(87)

Question 99

The Kruskal-Wallis test is a nonparametric alternative to:

(Multiple Choice)

4.8/5

(82)

Question 100

Exam 19: Nonparametric Statistics

The sign test statistic has what kind of distribution?

The Kruskal-Wallis test is always one tailed.The inequality sign in the alternative hypothesis is always ____________________.

The Wilcoxon signed rank sum test requires you to rank the absolute ____________________.

A one-sample t-test is the parametric counterpart of the Friedman test for randomized block experimental design.

The Kruskal-Wallis test is applied to compare two or more populations,when the samples are independent and the data are either ordinal or interval but not normal.

The rejection region for the test H0: ρ\rhoρ s = 0 vs.H1: ρ\rhoρ s ≠\neq= 0 is based on the absolute value of rs.

Use the Wilcoxon rank sum test on the data below to determine at the 5% significance level whether the location of population A is to the left of the location of population B. Sannple A: 75 60 67 54 69 Sangle B: 80 84 100 74 90

The nonparametric counterpart of the randomized block model of the analysis of variance is the:

In a Friedman test for comparing three populations,provided that there are five blocks,the test statistic is calculated as Fr = 6.594.Then,the most accurate statement that can be made about the p-value is:

If the rank sums for each sample are similar,the test statistic H for the Kruskal-Wallis test will be ____________________.As a result,you ____________________ (do/do not)reject H0.

The nonparametric tests discussed in your book (Wilcoxon rank sum test,sign test,Wilcoxon signed rank sum test,Kruskal-Wallis test,and Friedman test)all require that the probability distributions be:

Advertisement In a Kruskal-Wallis test to determine whether differences exist among three different advertisements,the following statistics were obtained: T1 = 884,n1 = 20,T2 = 756,n2 = 28,T3 = 1061,n3 = 25. -{Advertisement Narrative} Conduct the test at the 5% significance level.

In a Wilcoxon signed rank sum test,the test statistic is calculated as T = 75.If there are n = 15 observations for which D ≠\neq= 0,and a two-tail test is performed at the 5% significance level,then:

The ____________________ correlation coefficient is used to look for a relationship between x and y when both variables are interval but do not have normal distributions.

The Kruskal-Wallis test is a nonparametric alternative to:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

The rejection region for the test H₀: $\rho$ _s = 0 vs.H₁: $\rho$ _s $\neq$ 0 is based on the absolute value of r_s.

In a Friedman test for comparing three populations,provided that there are five blocks,the test statistic is calculated as F_r = 6.594.Then,the most accurate statement that can be made about the p-value is:

If the rank sums for each sample are similar,the test statistic H for the Kruskal-Wallis test will be .As a result,you (do/do not)reject H₀.

Advertisement In a Kruskal-Wallis test to determine whether differences exist among three different advertisements,the following statistics were obtained: T₁ = 884,n₁ = 20,T₂ = 756,n₂ = 28,T₃ = 1061,n₃ = 25. -{Advertisement Narrative} Conduct the test at the 5% significance level.

In a Wilcoxon signed rank sum test,the test statistic is calculated as T = 75.If there are n = 15 observations for which D $\neq$ 0,and a two-tail test is performed at the 5% significance level,then: