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- Asap(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…8.6 A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table. Device A B с D 1 -.307 -.176 .137 -.042 2 -.294 .125 -.063 .690 3 Sample .079 -.013 .240 .201 4 .019 .082 -.050 .166 5 -.136 .091 .318 .219 6 -.324 .459 .154 .407 Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devices? Run an analysis of variance to confirm or reject your conclusion Use a = .05.
- A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 2 8 8 8 6 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 1 1 5 1 4 8 5 4 4 4 2 2 5 6 9 (i) Use a calculator with sample mean and sample standard deviation keys to calculate x1 and s1 in region I, and x2 and s2 in region II. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = (ii) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rabies cases in both regions is…The authors of a paper classified characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are summarized in the accompanying table. Assume that it is reasonable to consider this sample of smoking movie characters as representative of smoking movie characters. Do the data provide evidence an association between sex and character type for movie characters who smoke? Use α = 0.05. Sex = Male Female Positive Negative Neutral 256 Character Type 85 107 11 132 51 Calculate the test statistic. (Round your answer to two decimal places.) x² Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke. Fail to reject Ho.…Hughes randomly samples 100 people and shows both menus to each person, asking them to rate each menu from 0 (very poor) to 20 (excellent) and then wonders whether the difference is statistically significant. [ Select ]
- A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 1 9 9 9 7 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 1 1 5 1 6 8 5 4 4 4 2 2 5 6 9 What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)Given the following data and using Jamovi, test (at an alpha of 0.05) whether type of music influences heart rate (measured in beats per minute, bpm). Participant Rock Classical Heavy Metal ROW MEANS = 1 70 64 90 74.67 2 78 69 85 77.33 3 80 72 67 73 4 82 65 100 82.33 5 81 67 120 89.33 6 80 58 98 78.67 GROUP MEANS = 78.5 65.83 93.33 Total mean = 79.22 What are the degrees of freedom for between persons? ________ What is the critical value (from table): ___________________A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value
- How many hours of sleep do people get by listening to music? I record 10 subjects’ hours of sleep after they listen to 4 types of music: White noise, Rock, Pop, and Classical. For each music condition, they provide an average amount of hours of sleep they got for 1 week. Using the following data, test whether there is a significant difference in hours of sleep between types of music at an alpha of 0.01. Subject White noise Rock Pop Classical 1 5 5 7.5 9 2 9.5 6.5 7 9 3 7.5 6 7 10 4 8 6 7 8 5 8.5 5 6 8 6 6 5.5 7 10 7 7 6.5 9 9 8 8 5 5 9.5 9 8 6 7 8 10 8 7 7.5 7 What is the null hypothesis? _______________________ What is the alternative hypothesis? __________________ What is the critical F value? _________________8.6 A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table. Sample Device 1 2 3 4 5 6 A -.307 -.294 .079 .019 -.136 -.324 B -.176 .125 -.013 .082 .091 .459 C .137 -.063 .240 -.050 .318 .154 D -.042 .690 .201 .166 .219 .407 a. Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devices? b. Run an analysis of variance to confirm or reject your conclusion in…