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statistics
elementary statistics a step by step approach

Elementary Statistics 9th Edition Neil A Weiss - Solutions

Assess the evidence against the null hypothesis if the P-value of the hypothesis test is 0.062
In each Exercise define the term given. Test statistic
Exercise contain graphs portraying the decision criterion for a one-mean z-test. The curve in each graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. For each exercise, determine thea. Rejection region. b. Nonrejection region.c. Critical
Exercise contain graphs portraying the decision criterion for a one-mean z-test. The curve in each graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. For each exercise, determine thea. Rejection region. b. Nonrejection region.c. Critical
Exercise contain graphs portraying the decision criterion for a one-mean z-test. The curve in each graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. For each exercise, determine thea. Rejection region. b. Nonrejection region.c. Critical
Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer. A two-tailed test with α = 0.05.
Exercise contain graphs portraying the decision criterion for a one-mean z-test. The curve in each graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. For each exercise, determine thea. Rejection region. b. Nonrejection region.c. Critical
Exercise contain graphs portraying the decision criterion for a one-mean z-test. The curve in each graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. For each exercise, determine thea. Rejection region. b. Nonrejection region.c. Critical
Exercise contain graphs portraying the decision criterion for a one-mean z-test. The curve in each graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. For each exercise, determine thea. Rejection region. b. Nonrejection region.c. Critical
Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer.A right-tailed test with α = 0.05.
Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer. A left-tailed test with α = 0.01.
Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer. A left-tailed test with α = 0.05.
Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer. A right-tailed test with α = 0.01
In each Exercise, we have given the P-value for a hypothesis test. For each exercise, refer to Table 9.8 to determine the strength of the evidence against the null hypothesis.P = 0.027P = 0.184 TABLE 9.8 Guidelines for using the P-value to assess the evidence against the null hypothesis P-value P>
In each Exercise, we have given the P-value for a hypothesis test. For each exercise, refer to Table 9.8 to determine the strength of the evidence against the null hypothesis.P = 0.184 TABLE 9.8 Guidelines for using the P-value to assess the evidence against the null hypothesis P-value P> 0.10 0.05
In each Exercise, we have given the P-value for a hypothesis test. For each exercise, refer to Table 9.8 to determine the strength of the evidence against the null hypothesis.P = 0.184 TABLE 9.8 Guidelines for using the P-value to assess the evidence against the null hypothesis P-value P> 0.10 0.05
In each Exercise, we have given the P-value for a hypothesis test. For each exercise, refer to Table 9.8 to determine the strength of the evidence against the null hypothesis.P = 0.004 TABLE 9.8 Guidelines for using the P-value to assess the evidence against the null hypothesis P-value P> 0.10 0.05
In each Exercise, we have given the P-value for a hypothesis test. For each exercise, refer to Table 9.8 to determine the strength of the evidence against the null hypothesis.P = 0.086 TABLE 9.8 Guidelines for using the P-value to assess the evidence against the null hypothesis P-value P> 0.10 0.05
In each Exercise, we have given the P-value for a hypothesis test. For each exercise, refer to Table 9.8 to determine the strength of the evidence against the null hypothesis.P = 0.086 TABLE 9.8 Guidelines for using the P-value to assess the evidence against the null hypothesis P-value P> 0.10 0.05
In each Exercise, we have given the P-value for a hypothesis test. For each exercise, refer to Table 9.8 to determine the strength of the evidence against the null hypothesis.P = 0.012 TABLE 9.8 Guidelines for using the P-value to assess the evidence against the null hypothesis P-value P> 0.10 0.05
We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two-tailed, left-tailed, or right-tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject
We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two-tailed, left-tailed, or right-tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject
We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two-tailed, left-tailed, or right-tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject
We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two-tailed, left-tailed, or right-tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level.x̄ = 21, n = 32, σ = 4, H0 : μ = 22, Ha: μ < 22
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level.x̄ = 24, n = 15, σ = 4, H0 : μ = 22, Ha: μ > 22
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level.x̄ = 23, n = 15, σ = 4, H0 : μ = 22, Ha : μ > 22
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level.x̄ = 23, n = 24, σ = 4, H0 : μ = 22, Ha: μ = 22
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level.x̄ = 20, n = 24, σ = 4, H0: μ = 22, Ha : μ = 22
Suppose that you want to perform a hypothesis test for a population mean based on a small sample but that preliminary data analyses indicate either the presence of outliers or that the variable under consideration is far from normally distributed.a. Is either the z-test or t-test appropriate?b. If
Pertain to P-values for a one-mean t-test. For each exercise, do the following tasks.a. Use Table IV in Appendix A to estimate the P-value.b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be
Pertain to P-values for a one-mean t-test. For each exercise, do the following tasks.a. Use Table IV in Appendix A to estimate the P-value.b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be
Pertain to P-values for a one-mean t-test. For each exercise, do the following tasks.a. Use Table IV in Appendix A to estimate the P-value.b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be
Pertain to P-values for a one-mean t-test. For each exercise, do the following tasks.a. Use Table IV in Appendix A to estimate the P-value.b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be
In each of Exercise, we have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level.x̄ = 21, s = 4, n = 32, H0 : μ = 22, Ha: μ < 22
In each of Exercise, we have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level.x̄ = 23, s = 4, n = 15, H0 : μ = 22, Ha : μ > 22
In each of Exercise, we have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level.x̄ = 23, s = 4, n = 24, H0 : μ = 22, Ha : μ = 22
Provides a type of sampling (independent or paired), sample size(s), and a figure showing the results of preliminary analyses on the sample(s). For independent samples, the graphs are for the two samples; for a paired sample, the graphs are for the paired differences. The intent is to employ the
Provides a type of sampling (independent or paired), sample size(s), and a figure showing the results of preliminary analyses on the sample(s). For independent samples, the graphs are for the two samples; for a paired sample, the graphs are for the paired differences. The intent is to employ the
In each of Exercise, we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval.95% CI is from −20 to −15.
In each of Exercise, we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval.90% CI is from −10 to −5.
In each of Exercise, we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval.90% CI is from 5 to 10.
Provides a type of sampling (independent or paired), sample size(s), and a figure showing the results of preliminary analyses on the sample(s). For independent samples, the graphs are for the two samples; for a paired sample, the graphs are for the paired differences. The intent is to employ the
In each of Exercise, we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval.99% CI is from −20 to 15.
Provides a type of sampling (independent or paired), sample size(s), and a figure showing the results of preliminary analyses on the sample(s). For independent samples, the graphs are for the two samples; for a paired sample, the graphs are for the paired differences. The intent is to employ the
Suppose, in Example 10.2, you want to decide whether the mean salary of faculty in private institutions is greater than the mean salary of faculty in public institutions. State the null and alternative hypotheses for that hypothesis test.Example 10.2The American Association of University Professors
Hypothesis tests are proposed. For each hypothesis test,a. identify the variable.b. identify the two populations.c. determine the null and alternative hypotheses.d. classify the hypothesis test as two-tailed, left-tailed, or right-tailed.Television commercials ]are becoming increasingly important
Repeat parts (b)–(e) of Exercise 11.9 for samples of size 3.(b)–(e) of Exercise 11.9b. The first column of the following table provides the possible samples of size 2, where each person is represented by the first letter of his or her first name; the second column gives the number of
E. Bergman et al. conducted a study to determine, among other things, the impact that scheduling recess before or after the lunch period has on wasted food fo students in a grades three through five. Results were published in the online article “The Relationship of Meal and Recess Schedules to
We have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-test and pooled t-interval
Explain why sp is called the pooled sample standard deviation.
We have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-test and pooled t-interval
Phyllodes tumors of the breast are rare tumors that represent less than one percent of growths in the breast. Researchers I. Youn et al. presented characteristics of phyllodes tumors in the article “Phyllodes Tumors of the Breast: Ultrasonographical Findings and Diagnostic Performance of
An intervention program designed by the Stockholm Transit District was implemented to improve the work conditions of the city’s bus drivers. Improvements were evaluated by G. Evans et al., who collected physiological and psychological data for bus drivers who drove on the improved routes
L. Gross back et al. examined mandate perceptions and their causes in the paper “Comparing Competing Theories on the Causes of Mandate Perceptions”. Following are data on the percentage of members in each chamber of Congress who reacted to mandates in various years.Use the technology of your
The null hypothesis is H0:μ1 = μ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.Ha:
The null hypothesis is H0:μ1 = μ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.Ha:
The null hypothesis is H0:μ1 = μ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.Ha:
The null hypothesis is H0: μ1 = μ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.Ha:
The null hypothesis is H0 :μ1 = μ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance
The null hypothesis is H0: μ1 = μ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.Ha:
Cooling down with a cold drink before exercising in the heat is believed to help an athlete perform. Researcher J. Dugas explored the difference between cooling down with an ice slurry (slushy) and with cold water in the article “Ice Slurry Ingestion Increases Running Time in the Heat”. Ten
Apply Procedure 10.6 on to obtain the required confidence interval. Interpret your result in each case.Refer to Exercise 10.123a. Determine a 95% confidence interval for the difference between the mean heights of cross-fertilized and self-fertilized Zea mays.b. Repeat part (a) for a 99% confidence
Refer to Exercise 10.128 and find a 98% confidence interval for the difference between the mean times to fatigue on a treadmill in a hot and humid environment after cooling down with cold water and after cooling down with an ice slurry.Exercise 10.128 Cooling down with a cold drink before
In the online paper “A Comparison of Two Computer Fonts: Serif versus Ornate Sans Serif”, researchers S. Morrison and J. Noyes studied whether the type of font used in a document affects reading speed or comprehension. The fonts used for the comparisons were the serif font Times New Roman (TNR)
Tests. With the advent of high-speed computing, new procedures have been developed that permit statistical inferences to be performed under less restrictive conditions than those of classical procedures. Permutation tests constitute one such collection of new procedures. To perform a permutation
We have given the number of successes and the sample size for a simple random sample from a population. In each case, do the following.a. Determine the sample proportion.b. Decide whether using the one-proportion z-test is appropriate.c. If appropriate, use the one-proportion z-test to perform the
We have given the number of successes and the sample size for a simple random sample from a population. In each case, do the following.a. Determine the sample proportion.b. Decide whether using the one-proportion z-test is appropriate.c. If appropriate, use the one-proportion z-test to perform the
Use either the critical-value approach or he P-value approach to perform the required hypothesis test.In the United States, approximately 450,000 vasectomies are performed each year. In this surgical procedure for contraception, the tube carrying sperm from the testicles is cut and tied. Several
We have given the numbers of successes and the sample sizes for simple random samples for independent random samples from two populations. In each case,a. Use the two-proportions plus-four z-interval procedure to find the required confidence interval for the difference between the two population
For a χ2-curve with df = 10, determinea. χ20.05. b. χ20.025.
For a χ2-curve with df = 10, determinea. χ20.05. b. χ20.01.
We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether Assumptions 1 and 2 for using that test are satisfied. Sample size: n = 50.Relative frequencies: 0.65, 0.30, 0.05.
We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether Assumptions 1 and 2 for using that test are satisfied. Sample size: n = 50.Relative frequencies: 0.22, 0.22, 0.25, 0.30, 0.01
We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether Assumptions 1 and 2 for using that test are satisfied. Sample size: n = 50.Relative frequencies: 0.20, 0.20, 0.25, 0.30, 0.05.
We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether Assumptions 1 and 2 for using that test are satisfied. Sample size: n = 50.Relative frequencies: 0.22, 0.21, 0.25, 0.30, 0.02.
We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test and the sample size. In each case, decide whether Assumptions 1 and 2 for using that test are satisfied. Sample size: n = 100.Relative frequencies: 0.44, 0.25, 0.30, 0.01
We have provided distribution and the observed frequencies of the values of a variable from a simple random sample of a population. In each case, use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given
We have provided distribution and the observed frequencies of the values of a variable from a simple random sample of a population. In each case, use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given
The Higher Education Research Institute of the University of California, Los Angeles, publishes information on the characteristics of incoming college freshmen in The American Freshman. In 2000, 27.7% of incoming freshmen characterized their political views as liberal, 51.9% as moderate, and 20.4%
Refer to Table 12.11. Consider the variables “gender” and “college.”a. Group the bivariate data for these two variables into a contingency table.b. Determine the conditional distribution of gender within each college and the marginal distribution of gender.c. Determine the conditional
Consider the variables “class level” and “college.”a. Group the bivariate data for these two variables into a contingency table.b. Determine the conditional distribution of class level within each college and the marginal distribution of class level.c. Determine the conditional distribution
The U.S. Census Bureau publishes information about housing units in American Housing Survey for the United States. The following table cross-classifies single-unitFor single-unit occupied housing units:a. How many have crawl spaces?b. How many are owner-occupied?c. How many are rented and have full
We have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 to be satisfied.Procedure 12.2 Purpose To perform a hypothesis test to
Fill in the blank: If a variable has only two possible values, the chi-square homogeneity test provides a procedure for comparing several ___________ populations.
A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of six populations. The variable has five possible values. What are the degrees of freedom for the χ2-statistic?
In Exercises,a. Obtain and interpret the quartiles.b. Determine and interpret the interquartile range.c. Find and interpret the five-number summary.d. Identify potential outliers, if any.e. Construct and interpret a boxplot. 26.55 26.64 26.87 27.12 26.83 26.26 26.16 29.14
The National Association of Colleges and Employers (NACE) conducts surveys of salary offers to new college graduates and publishes the results in Salary Survey. The following diagram provides boxplots for the starting annual salaries, in thousands of dollars, obtained from samples of 35 business
In the Exercise, we give linear equations. For each equation,a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = 3 + 4x
In the Exercise, we give linear equations. For each equation,a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = 0.5x − 2
In each of Problems 9–11, fill in the blank.The line that best fits a set of data points according to the least squares criterion is called the_________line.
In the Exercise, we give linear equations. For each equation,a. Find the y-intercept and slope.b. Determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.c. Use two points to graph the equation.y = −0.75x − 5
In the Exercise, we identify the y-intercepts and slopes, respectively, of lines. For each line,a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.b. Find its equation.c. Use two points to graph the equation.−3 and 4
In Exercises,a. Obtain and interpret the quartiles.b. Determine and interpret the interquartile range.c. Find and interpret the five-number summary.d. Identify potential outliers, if any.e. Construct and interpret a boxplot.The publication California Wild: Natural Sciences for Thinking Animals has
In Exercises,a. Obtain and interpret the quartiles.b. Determine and interpret the interquartile range.c. Find and interpret the five-number summary.d. Identify potential outliers, if any.e. Construct and interpret a boxplot.An issue of Brokerage Report discussed the capital spending of
In Exercises,a. Obtain and interpret the quartiles.b. Determine and interpret the interquartile range.c. Find and interpret the five-number summary.d. Identify potential outliers, if any.e. Construct and interpret a boxplot.
Researchers in obesity wanted to compare the effectiveness of dieting with exercise against dieting without exercise. Seventy-three patients were randomly divided into two groups. Group 1, composed of 37 patients, was put on a program of dieting with exercise. Group 2, composed of 36 patients,
Consider the following three data sets.a. Assuming that each of these data sets is sample data, compute the standard deviations. (Round your final answers to two decimal places.)b. Assuming that each of these data sets is population
A study published by E. Anion et al. in the British Medical Journal (Vol. 282, pp. 283–286) examined the steady-state hemoglobin levels of patients with three different types of sickle cell disease: HB SC, HB SS, and HB ST. Use the following boxplots to compare the hemoglobin levels for the three
In each of Exercise,a. Use the technology of your choice to obtain boxplots for the data sets, using the same scale.b. Compare the data sets by using your results from part (a), paying special attention to center and variation.L. Petersen et al. evaluated the effects of integrated treatment for

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