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- Generate two set of data of at least with ten data points using any scenario of your choice,Using the six steps of hypothesis test if there is difference in the mean and the proportion?2. Generate at least three set of data at least with ten data points using any scenario of your choice. Test if there is difference in their variancesMake conclusions about the population mean based on the test-statisticvalue and rejection region when the population variance is assumed to beunknown.A correlation coefficient is computed from a sample of data values selected from a population is called a statistic and is subject to sampling error. True or False.
- A new fuel injection system has been engineered for pickup trucks. The new system and the old system both produce about the same average miles per gallon. However, engineers question which system (old or new) will give better consistency in fuel consumption (miles per gallon) under a variety of driving conditions. A random sample of 41 trucks were fitted with the new fuel injection system and driven under different conditions. For these trucks, the sample variance of gasoline consumption was 54.2. Another random sample of 23 trucks were fitted with the old fuel injection system and driven under a variety of different conditions. For these trucks, the sample variance of gasoline consumption was 34.6. Test the claim that there is a difference in population variance of gasoline consumption for the two injection systems. Use a 5% level of significance. How could your test conclusion relate to the question regarding the consistency of fuel consumption for the two fuel injection systems? A)…Traffic accidents occur frequently on the 100 km long E-5 highway connecting Konya and Karaman: Although expert teams affiliated to the General Directorate of Highways (KGM) say that the accidents on the E-5 are randomly (unevenly) distributed, the news media state the opposite. KGM has published the locations of 20 accidents resulting in death or injury in the past 12 months, showing the distances from Konya as follows: Use the Kolmogorov-Smirnov test to test whether the distribution of locations of accidents that occurred in the last 12 months is evenly distributed.Chicken farming is a multi-billion dollar industry, and any methods that increase the growth rate of young chicks can reduce consumer costs while increasing company profits, possibly by millions of dollars. An experiment was conducted to measure and compare the effectiveness of various feed supplements on the growth rate of chickens. Newly hatched chicks were randomly allocated into six groups, and each group was given a different feed supplement. Below are some summary statistics from this data set showing the distribution of weights by feed type. Mean SD Sample Size casein 323.58 64.43 12 horsebean 160.20 38.63 10 linseed 218.75 52.24 12 meatmeal 276.91 64.90 11 soybean 246.43 54.13 14 sunflower 328.92 48.84 12 (a) Do these data provide strong evidence that the average weights of chickens that were fed lineseed and horsebean are different? Use a 5% significance level.Hint: We are interested in the difference: lineseed-horsebean Test Statistic: _______…
- For part 1 of your assignment, you’ll need to download the Excel data file, and conduct the appropriate hypothesis test to determine whether the average returns in each industry differ (use a 5% significance level, and assume that population variances are not equal.) The results of your testing need to be shown in the space provided in the file. This will be submitted to Canvas through the assignment link. For part 2 of the assignment, your new boss has required you to submit a report the provides the descriptive statistics for each industry, as well as comments on the reward and risk for investing in each. You will also analyze the results of your statistical test and summarize the conclusion in the context of the problem. What are your final recommendations and why? This should be written as if you were writing a professional report to your employer, not an outline of tasks you did for a project in stat class. Let your instructor know if you are not sure of this difference. You can…A social psychologist wants to know if people judge a person's attractiveness differently if they appear rich or poor. Two pictures were taken with the same model, one in expensive clothes standing next to a new sports car, and the other in old clothes standing next to an old hatchback car. In an online survey, participants were randomly divided so that they saw one of the two pictures and were asked to rate the model's attractiveness on a scale of 1 to 10. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVAA new fuel injection system has been engineered for pickup trucks. The new system and the old system both produce about the same average miles per gallon. However, engineers question which system (old or new) will give better consistency in fuel consumption (miles per gallon) under a variety of driving conditions. A random sample of 31 trucks were fitted with the new fuel injection system and driven under different conditions. For these trucks, the sample variance of gasoline consumption was 52.1. Another random sample of 21 trucks were fitted with the old fuel injection system and driven under a variety of different conditions. For these trucks, the sample variance of gasoline consumption was 31.6. Test the claim that there is a difference in population variance of gasoline consumption for the two injection systems. Use a 5% level of significance. How could your test conclusion relate to the question regarding the consistency of fuel consumption for the two fuel injection systems? (a)…
- 1. Should there be a significant difference with this study, what post-hoc test shall be used? A researcher wanted to investigate into the Level of Agreement of people to Same Sex Union. 10 members each of four groups were asked to indicate their agreement to the issue. The four groups are: the Catholic Church, the Lesbian, Gay Bisexual, Transgendered (LGBT) Community, Lawmakers, as well as individuals in the Academe. a. t-Test paired two sample for means b. t-Test assuming equal variances c. t-Test assuming unequal variances 2. Which MS Excel Tool shall be used with this problem? Dr. Hess has done work that suggests that emotional arousal affects pupil size. To ascertain if the type of arousal makes a difference, you decided to measure pupil size under three different arousal conditions (Neutral, Pleasant, Aversive). Each participant will look at all the different pictures that differ according to the condition. The pupil size after viewing each…A researcher is trying find out which of the 3 Vaccine types and age groups has the highest immune response via antibody titer. You assign different municipalities to a combination of age groups (i.e., 18-30, 31-50, 51-75 y.o.) and Vaccine type (i.e., Vaccine 1, 2, 3) and took the antibody titer measurements of the participants after 2 weeks of vaccine inoculation. Given this scenario, what particular statistical tool will you use to know if vaccine type and age group have an effect on average antibody titer? Why? Explain thoroughly.The effects of two catalysts on the mean yield of a chemical process are being investigated.A test is conducted in the pilot plant, yielding the data reported in Table 1. Is there anydifference between the mean yields from the two catalyst at the 5% significance level?Assume the two population variances are equal.