6. The following data are the weight gained in kgs of 15 dairy calves, grouped by cage, fed with 5 different brands of feed (T1, T2, T3, T4, T5) mixed with their feeds (kg). The experiment was conducted in RCBD. The calves are grouped into three cages as blocks. Treatment Blocks II T1 2.8 5.8 5.3 T2 2.7 3.6 3.5 T3 2.8 2.5 2.1 T4 3.2 3.8 3.5 T5 3.2 5.2 a. Coefficient of Variation (CV), b. Make a Decision 5323
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- Number of Flights Arriving on Time Number of Flights Arriving Late Sunshine Airline 33 5 Comfort Airlines 43 6 The table above contains data from a study of two airlines - Sunshine Airlines & Comfort Airlines - which fly from BWI to Shore City, FL. If one flight is selected, find P (on time and Comfort Airlines).Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…
- A nutritionist working for the United States Department of Agriculture (USDA) randomly selected three cartons of eggs from all of the available cartons of standard large eggs at a neighborhood grocery store. Each egg in the randomly selected cartons had their nutritional content analyzed.The data provided here are the amounts of milligrams of cholesterol in each of the sampled eggs. 186, 188, 179, 180, 192, 186, 183, 177, 184, 178, 191, 174,189, 176, 190, 188, 196, 187, 184, 184, 192, 194, 198, 183,183, 181, 187, 190, 186, 176, 183, 185, 191, 180, 184, 182 Test the validity of the claim, at the 0.01 level of significance, that the mean amount of cholesterol in a standard large egg is under 190 mg.The manager of a company that assembles and exports a particular type of pumps wants to know if there is a link between the number of hours spent by assembly workers in training and their productivity on the job. A random sample of 7 assembly workers was selected and their performances evaluated. The summary of the obtained data is listed in Table 2. Table 2: Shows the time spend by workers during training and their productivity on jobTraining hours (x) 20 36 20 38 40 33 32Output (y) 40 70 44 56 60 48 62 (i) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output. (ii) Estimate a simple regression line, using the method of least squares, to identify a linear relationship between the hours of training received by assembly workers and their output (i.e. number of units assembled per day). (iii) Interpret, in context, the gradient/slope of the regression line. (iv) Estimated the output at 20 hours training time. (v) Interpret the…You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. Here is the raw data: Pair Number Placebo Pain Score Pain Medication Pain Score 1 2 4 5 6 7 8 9 5 7 10 5 8 7 8 6 8 QUESTION 20 5 5 8 4 4 3 5 3 2 Use the t-test handout printout provided to calculate the t- statistic. What is the t-test statistic value? Round to the nearest tenth. What conclusion would you make on the above data, based on the t-value you calculated and the critical value of t? O You accept the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value O You reject the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value O You reject the null hypothesis because the t-value you calculated is outside the…
- 5. Use the data set 1. This is the result of a randomized trial in Uganda where 10 students in the same village were selected and given a solar-powered reading lamp. The second group was not given any lamp. The number of students out of 10 who improved their school grades for both groups were recorded. The experiment was repeated in 50 villages. Test the hypothesis that solar-powered reading lamps are effective in improving school grades in Uganda.In a certain study, the effect on oat yield was compared for the Pallinup, Overberg and Magnifico varieties of oats and four different concentrations of manure (0, 0.2, 0.4 and 0.6 tonnes per acre). Identify the experimental units, response variable, factor(s), levels of each factor and treatments.A biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples
- The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…PETROGAS is testing new filters for its motorbikes. One brand of filter (Filter A) is placed in one motorbike, and the other brand (Filter B) is placed in the second motorbike. Random samples of air released from the motorbikes are taken at different times throughout the day. Pollutant concentrations are measured for both motorbikes at the same time. The following data attached represent the pollutant concentrations (in parts per million) for samples taken at 20 different times after passing through the filters. a. Test the hypothesis that the mean for the pollutant concentration for Filter B is greater than 30. Use the 1% level of significance. b. Construct a 95% confidence interval for the difference in mean pollutant concentration, where a difference is equal to the pollutant concentration passing through Filter A minus the passing through Filter B. c. Using the 5% significance level, determine whether there is evidence that mean for the pollutant concentration for Filter A…A researcher finds 1000 mildly overweight women who exercise regularly, have not had a heart attack, and are willing to participate in the study. She randomly assigns 500 of the women to take an appetite suppressant. The other 500 women are given a placebo. Both groups are followed for five years, and the amount of weight lost after this time is recorded. The response variable in the experiment is: a. the use of a control group taking a placebo. b. the length of the study. c. the weight lost by women in the study. d. the treatment taken by women in the study—appetite suppressant or placebo.