Statistical Techniques in Business and Economics
16th Edition
ISBN: 9780077639723
Author: Lind
Publisher: Mcgraw-Hill Course Content Delivery
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Chapter 16, Problem 1.8PT
To determine
State the major difference between Kruskal–Wallis test and Wilcoxon rank-sum test.
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Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 360 of the 501 randomly selected wildfires looked at in the south were caused by humans while 435 of the 588 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.10 level of significance?
For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means z-test for a population proportion
The null and alternative hypotheses would be:
Select an answer μ1 p1 Select an answer < ≠ > = Select an answer μ2 p2 (please enter a decimal)
Select an answer μ1 p1 Select an answer > ≠ < = Select an answer p2 μ2 (Please enter a decimal)
The test statistic ? z t = (please show your…
How should you enter your data into SPSS to conduct a related
samples t-test?
There is no standard way to enter your data into SPSS when conducting a
related samples t-test.
O Enter the level of the independent variable for each participant in one
column, with their score on the dependent variable in the other column.
Put all of your data for all of your participants into one column.
Put all of the data for one group of participants in one column and put all
of the data for the other group of participants in another column.
What is a related samples t-test called in SPSS?
Independent Samples T Test
One-Way ANOVA
Paired-Samples T Test
One-Sample T Test
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ρ (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ρ yet. However, there is a quick way to determine if the sample evidence based on ρ is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ρ ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of α in the table gives us the probability of concluding that ρ ≠ 0 when, in fact, ρ = 0 and there is no population correlation. We have two choices for α: α = 0.05 or α = 0.01.
(a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use α = 0.05. (Use 3 decimal places.)
x
3
6
12
22
26…
Chapter 16 Solutions
Statistical Techniques in Business and Economics
Ch. 16 - Prob. 1SRCh. 16 - Prob. 1ECh. 16 - Prob. 2ECh. 16 - Calorie Watchers has low-calorie breakfasts,...Ch. 16 - Prob. 4ECh. 16 - Prob. 2SRCh. 16 - Prob. 5ECh. 16 - Prob. 6ECh. 16 - Prob. 7ECh. 16 - Prob. 8E
Ch. 16 - Prob. 3SRCh. 16 - Prob. 9ECh. 16 - Prob. 10ECh. 16 - Prob. 4SRCh. 16 - Prob. 11ECh. 16 - Prob. 12ECh. 16 - Prob. 13ECh. 16 - Prob. 14ECh. 16 - Prob. 5SRCh. 16 - Prob. 15ECh. 16 - Prob. 16ECh. 16 - Prob. 17ECh. 16 - Prob. 18ECh. 16 - Prob. 6SRCh. 16 - Prob. 19ECh. 16 - Prob. 20ECh. 16 - Prob. 21ECh. 16 - Prob. 22ECh. 16 - Prob. 23ECh. 16 - Prob. 24ECh. 16 - Prob. 7SRCh. 16 - Prob. 25ECh. 16 - Prob. 26ECh. 16 - Prob. 27ECh. 16 - Prob. 28ECh. 16 - Prob. 29CECh. 16 - Prob. 30CECh. 16 - Prob. 31CECh. 16 - Prob. 32CECh. 16 - Prob. 33CECh. 16 - Prob. 34CECh. 16 - Prob. 35CECh. 16 - Prob. 36CECh. 16 - Prob. 37CECh. 16 - Prob. 38CECh. 16 - Prob. 39CECh. 16 - Professor Bert Forman believes the students who...Ch. 16 - Prob. 41DECh. 16 - Refer to the Baseball 2012 data, which report...Ch. 16 - Prob. 43DECh. 16 - Prob. 1PCh. 16 - The manufacturer of childrens raincoats wants to...Ch. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - B. Thomas Testing Labs John Thomas, the owner of...Ch. 16 - Prob. 1.1PTCh. 16 - Prob. 1.2PTCh. 16 - Prob. 1.3PTCh. 16 - Prob. 1.4PTCh. 16 - Prob. 1.5PTCh. 16 - Prob. 1.6PTCh. 16 - Prob. 1.7PTCh. 16 - Prob. 1.8PTCh. 16 - Prob. 1.9PTCh. 16 - Prob. 1.10PTCh. 16 - Prob. 2.1PTCh. 16 - Prob. 2.2PTCh. 16 - Prob. 2.3PTCh. 16 - Prob. 2.4PT
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- What is an experiment?arrow_forwardThree students, an athlete, a fraternity member, and an honors student, record the number of hours they slept each night for 20 nights. O JMP Applet imp ? Oneway Analysis of Sleep Hours By Student Oneway Analysis of Sleep Hours By Student 10 Oneway Anova 14 Summary of Fit 12 Rsquare 0.024506 10- Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) -0.00072 1.99517 7.7 60 Analysis of Variance Sum of Mean F Prob > Source DF Squares Square Ratio F 2 Athiete Frat Honors Student 2 5.70000 2.85000 0.7180 0.4931 Student Error 57 226.90000 3.98070 C. Total 59 232.60000 Oneway Anova Means for Oneway Anova Std Lower Upper 95% Summary of Fit Level Number Mean Error 95% Athlete 20 8.10000 0.44813 7.2086 8.9934 Rsquare 0.024506 Frat 20 7.65000 0.44813 6.7588 8.5434 Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) -0.00972 Honors 20 7.35000 0.44813 6.4586 8.2434 1.99517 Std Error uses a pooled estimate of error variance 7.7 60 Analysis of…arrow_forwardThe null and alternative hypotheses for a test are given, as well as some information about the actual sample and the statistic that is computed for each randomization sample. Ho:u = 30 vs Ha:H#30 Sample: = 12, s = 3.8,n = 40 Randomization statistic: (a) Indicate where the randomization distribution will be centered. i (b) Indicate whether the test is a left-tail test, a right-tail test, or a two-tailed test. two-tailed testarrow_forward
- You collect data on coronavirus cases from a random sample of cities of similar sizes in cold climates and in warm climates and make the following table: (This data can be copied into Excel.) You use this data to answer the research question: is the population average number of coronavirus cases different in warm cities and cold cities? You assume that the variances of coronavirus cases are not equal across cold cities and warm cities. What is the p-value associated with your hypothesis test? Round your answer to four decimal places.arrow_forwardResearchers conducted trials to investigate the effects of color on creativity. Subjects with a. Red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task". Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. what are the null and alternative hypothesis identify the test statistic ifentify the p valuearrow_forwardh) ii). Consider the results in Table 5. After running the regression, we test whether the coefficients of the variables hhsize1 and hhsize2 are equal at 5% significance level. The value of the F-statistic is 26.32. Note that the sample size is 1,593. What is the outcome of the test? i). Do you think the regression in Table 5 suffers from omitted variable bias? If yes, which additional variables would you include to control for omitted variable bias?arrow_forward
- Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: p1 p2 v (please enter a decimal) H1: p1 V p2 v (Please enter a decimal) c. The test statistic z v = 2.620 (please show your answer to 3 decimal places.) d. The p-value = 0.0213 e. The p-value is >v a f. Based on this, we should reject g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) |the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 579…arrow_forwardResearchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.05 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ #1¹₂ H₁: H₁ H₂ OD. Ho: H=H2 H₁: H₁ H₂ Xarrow_forwardResearchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). a. Use a 0.05 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? A. H0: μ1≥μ2 H1: μ1<μ2 B. H0: μ1=μ2 H1: μ1≠μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1≠μ2 H1:…arrow_forward
- Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The…arrow_forwardResearchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). background u n x s Blue μ1 36 4.38 0.55 Red μ2 41 3.79 0.84 The test statistic, t, is enter your response here. (Round to two decimal places as needed.) The P-value is enter your response here. (Round to three decimal places as needed.) b. Construct the confidence…arrow_forwardResearchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. zero, only negative values, only positive values, SKIL OA. Fail to reject…arrow_forward
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