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statistics
elementary statistics a step by step approach
Questions and Answers of
Elementary Statistics A Step By Step Approach
For Exercises use Table K to determine whether the null hypothesis should be rejected.ws = 102, n = 28, α = 0.01, one-tailed test
To see if two rankings are related, you can use the ________.a. Runs testb. Spearman correlation coefficientc. Sign testd. Kruskal-Wallis test
For Exercises follow this procedure:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For Exercises use Table K to determine whether the null hypothesis should be rejected.ws = 33, n = 18, α = 0.01, two-tailed test
For Exercises rank each set of data.19.4, 21.8, 3.2, 23.1, 5.9, 10.3, 11.1
For Exercises use the Kruskal-Wallis test and perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value.c. Compute the test value.d. Make the decision.e. Summarize
When the assumption of normality cannot be met, you can use ________ tests.
For Exercises perform these steps.a. Find the Spearman rank correlation coefficient.b. State the hypotheses.c. Find the critical value. Use α = 0.05.d. Make the decision.e. Summarize the results.Use
For Exercises rank each set of data.10.9, 20.2, 43.9, 9.5, 17.6, 5.6, 32.6, 0.85, 17.6
When data are ________ or ________ in nature, nonparametric methods are used.
To test to see whether a median was equal to a specific value, you would use the ________ test.
For Exercises use the Wilcoxon rank sum test. Assume that the samples are independent. Also perform each of these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c.
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.A special diet is fed to adult turkeys to see if they will gain weight. The before-and after
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.The median price for an existing home in 2009 was $177,500. A random sample of homes for sale
For Exercises rank each set of data.90.6, 47.0, 82.2, 9.27, 327.0, 52.9, 18.0, 145.0, 34.5, 9.54
Nonparametric tests are less ________ than their parametric counterparts.
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.The grade point average of a group of students was recorded for one month. During the next
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.Two teams of 10 members each solicited donations for their participation in a charity walk for
For Exercises perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.Samples of students majoring in law and nursing are randomly selected, and the amount each
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.A battery manufacturer claims that the median lifetime of a certain brand of heavy-duty
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.Sometimes calories and cholesterol are not the only considerations in healthy eating. The
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.Is there a relationship between the prescription drug prices in Canada and Great Britain? Use
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.The output in revolutions per minute (rpm) of 10 motors was obtained. The motorswere tested
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.The Old-Time movie channel shows movies 24 hours a day. The movies are either black and white
For the following exercises, use the traditional method of hypothesis testing unless otherwise specified.A statistician wishes to determine if a state’s lottery numbers are selected at random. The
The confidence interval for the median of a set of values less than or equal to 25 in number can be found by ordering the data from smallest to largest, finding the median, and using Table J. For
The confidence interval for the median of a set of values less than or equal to 25 in number can be found by ordering the data from smallest to largest, finding the median, and using Table J. For
The people who were tested for drivers’ licenses who wear glasses (G) or contact lenses (C) are recorded in the order they are tested. Is the sequence random at α = 0.05? сс C
The confidence interval for the median of a set of values less than or equal to 25 in number can be found by ordering the data from smallest to largest, finding the median, and using Table J. For
Repeat Exercise 1, using samples of 10 or more values obtained from Data Set XIII. Let x the number of beds and y the number of personnel employed.Data from Data Set XIII Data Set XIII Hospital
For Exercises follow these steps.a. State the hypotheses and identify the claim.b. Find the critical value.c. Compute the test value.d. Make the decision.e. Summarize the results.Use the traditional
Use total earnings data for movies that were released in the previous year. Sort them by rating (G, PG, PG13, and R). Is the mean revenue for movies the same regardless of rating?
Conduct an anonymous survey and ask the participants to identify which of the following categories describes them best: registered Republican, Democrat, or Independent, or not registered to vote.
The null hypothesis in ANOVA is that all the means are_______ .a. Equalb. Unequal c. Variabled. None of the above
Split the class into four groups, those whose favorite type of music is rock, whose favorite is country, whose favorite is rap or hip hop, and those whose favorite is another type of music.
For Exercises assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one from
When you conduct an F test,________ estimates of the population variance are compared.a. Twob. Three c. Any number ofd. No
If the null hypothesis is rejected in ANOVA, you can use the_______ test to see where the difference in the means is found.a. z or tb. F or χ2c. Scheffé or Tukeyd. Any of the above
If the null hypothesis is rejected in Exercises use the Scheffé test when the sample sizes are unequal to test the differences between the means, and use the Tukey test when the sample sizes are
For Exercises do a complete one-way ANOVA. If the null hypothesis is rejected, use either the Scheffé or Tukey test to see if there is a significant difference in the pairs of means. Assume all
When three or more means are compared, you use the______ technique.
If the null hypothesis is rejected in ANOVA, the ______test should be used when sample sizes are equal.
For Exercises use the traditional method of hypothesis testing unless otherwise specified. Assume the assumptions have been met.In a recent Presidential election, a random sample of the percentage of
For Exercises assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one from
For Exercises use the traditional method of hypothesis testing unless otherwise specified. Assume the assumptions have been met.A media researcher wanted to see if there was a difference in the ages
For Exercises use the traditional method of hypothesis testing unless otherwise specified. Assume the assumptions have been met.A consumer group desired to compare the mean price for 12-ounce bottles
For Exercises use the traditional method of hypothesis testing unless otherwise specified. Assume the assumptions have been met.A lot of different factors contribute to air pollution. One particular
For Exercises assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one from
For Exercises use the traditional method of hypothesis testing unless otherwise specified. Assume the assumptions have been met.Several students volunteered for an alumni phone-a-thon to solicit
For Exercises assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one from
For Exercises use the traditional method of hypothesis testing unless otherwise specified. Assume the assumptions have been met.A researcher conducted a study of two different diets and two different
For Exercises assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one from
For Exercises assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one from
For Exercises follow this procedure:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For Exercises find the critical value from Table L for the rank correlation coefficient, given sample size n and a. Assume that the test is two-tailed.n = 14, α = 0.01
From the Data Bank, choose a sample and use the sign test to test one of the following hypotheses.a. For serum cholesterol, test H0 : median = 220 milligram percent (mg%).b. For systolic pressure,
Determine whether each statement is true or false. If the statement is false, explain why.Nonparametric statistics cannot be used to test the difference between two means.
Two commuters ride to work together in one car. To decide who pays the toll for a bridge on the way to work, they flip a coin and the loser pays. Explain why over a period of one year, one person
Monitor the price of a stock over a five-week period. Note the amount of gain or loss per day. Test the claim that the median is 0. Perform a runs test to see if the distribution of gains and losses
From the Data Bank, select a sample of subjects. Use the Kruskal-Wallis test to see if the sodium levels of smokers and nonsmokers are equal.Data from in Data Bank Data Bank 088989&D number 01 02 03
For Exercises find the critical value from Table L for the rank correlation coefficient, given sample size n and a. Assume that the test is two-tailed.n = 28, α = 0.02
What population parameter can be tested with the sign test?
Determine whether each statement is true or false. If the statement is false, explain why.Nonparametric statistics are more sensitive than their parametric counterparts.
Shown in the table are the type and number of medals each country won in the 2012 Summer Olympic Games. You are to rank the countries from highest to lowest. Gold medals are highest, followed by
Watch a basketball game, baseball game, or football game. For baseball, monitor an inning’s pitches for balls and strikes (all fouls and balls in play also count as strikes). For football, monitor
For Exercises use the Kruskal-Wallis test and perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value.c. Compute the test value.d. Make the decision.e. Summarize
For Exercises find the critical value from Table L for the rank correlation coefficient, given sample size n and a. Assume that the test is two-tailed.n = 10, α = 0.05
List the advantages of nonparametric statistics.
From the Data Bank select a sample of 50 subjects. Use the Wilcoxon rank sum test to see if the means of the sodium levels of the males differ from those of the females.Data from in Data Bank Data
In the sign test, what is used as the test value when n < 26?
Determine whether each statement is true or false. If the statement is false, explain why.Nonparametric statistics can be used to test hypotheses about parameters other than means, proportions, and
For Exercises find the sum of the signed ranks. Assume that the samples are dependent. State which sum is used as the test value. 108 97 115 Pretest Posttest 110 97 103 168 143 162 156 105 153 112 141
Use the data collected in data project 3 of Chapter 2 regarding song lengths. Consider only three genres. For example, use rock, alternative, and hip hop/rap. Conduct a Kruskal-Wallis test to
For Exercises find the critical value from Table L for the rank correlation coefficient, given sample size n and a. Assume that the test is two-tailed.n = 9, α = 0.01
For Exercises follow this procedure:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
When n ≥ 26, what is used in place of Table J for the sign test?
List the disadvantages of nonparametric statistics.
For Exercises do a complete regression analysis.a. Draw the scatter plot.b. Compute the value of the correlation coefficient.c. Test the significance of the correlation coefficient at α = 0.05.d.
For Exercises use the same data as for the corresponding exercises in Section 10–1. For each exercise, find the equation of the regression line and find the y value for the specified x value.
For Exercises find the coefficients of determination and non determination and explain the meaning of each.r = 0.75
Determine whether each statement is true or false. If the statement is false, explain why.In multiple regression, there are several dependent variables and one independent variable.
Determine whether each statement is true or false. If the statement is false, explain why.It is not possible to have a significant correlation by chance alone.
When the points in a scatter plot show a curvilinear trend rather than a linear trend, statisticians have methods of fitting curves rather than straight lines to the data, thus obtaining a better fit
Use the stocks in data project 1 of Chapter 2 identified as the Dow Jones Industrials as the sample. For each, note the current price and the amount of the last year’s dividends. Are the two
When the t test is used for testing the equality of two means, the populations must be _______.
When you are testing the difference between two means, the _______ test is used when the population variances are not known.
If you hypothesize that there is no difference between means, this is represented as H0: _______.
The probability of a type II error is referred to as _______.
For Exercises use the same data as for the corresponding exercises in Section 10–1. For each exercise, find the equation of the regression line and find the y value for the specified x value.
For Exercises do a complete regression analysis.a. Draw the scatter plot.b. Compute the value of the correlation coefficient.c. Test the significance of the correlation coefficient at α = 0.05.d.
For Exercises perform the following steps.a. Draw the scatter plot for the variables.b. Compute the value of the correlation coefficient.c. State the hypotheses.d. Test the significance of the
For Exercises do a complete regression analysis.a. Draw the scatter plot.b. Compute the value of the correlation coefficient.c. Test the significance of the correlation coefficient at α = 0.05.d.
For Exercise 21, find the standard error of the estimate.Data from in Exercise 21A study is conducted with a group of dieters to see if the number of grams of fat each consumes per day is related to
For Exercise 20, find the 90% prediction interval of the number of cavities for a 7-year-old.Data from in Exercise 20A researcher desires to know if the age of a child is related to the number of
For Exercises use the same data as for the corresponding exercises in Section 10–1. For each exercise, find the equation of the regression line and find the y value for the specified x value.
For Exercises use the same data as for the corresponding exercises in Section 10–1. For each exercise, find the equation of the regression line and find the y value for the specified x value.
For Exercises perform the following steps.a. Draw the scatter plot for the variables.b. Compute the value of the correlation coefficient.c. State the hypotheses.d. Test the significance of the
For Exercises follow these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For Exercises perform the following steps.a. Draw the scatter plot for the variables.b. Compute the value of the correlation coefficient.c. State the hypotheses.d. Test the significance of the
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