1. How will you find the percent uncertainty in the following: a. 100 ± 2 cm b. 50 ± 0.5 cm c. 525 5 cm What is the other way of writing the value of the measurement?
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- Solve using single application of Simpson’s 3/8 rule, with n = 4 and n= 5; and determine the percent relative error (εt), true error (Et) and approximate error (Ea)In a recent year, a research organization found that 487 of 806 surveyed male Internet users use social networking. By contrast 619 of 919 female Internet users use social networking. Let any difference refer to subtracting male values from female values. Complete parts a through V below. Assume that any necessary assumptions and conditions are satisfied. Find the proportions of male and female Internet users who said they use social networking. A. What is the difference in proportions? B. What is the standard error of the difference? C. Find a 95% confidence interval for the difference between these proportions.A microbiologist wants to estimate the concentration of a certain type of bacterium in a waste-water sample. She puts a 0.5 mL sample of the wastewater on a microscope slide and counts 39 bacteria. Estimate the concentration of bacteria, per mL, in this wastewater, and find the uncertainty in the estimate.
- A person gets on and off a bathroom scale four times. The four readings (in pounds) are 148, 151, 150, and 152. Each time after the person gets off the scale, the reading is 2 lb. a) Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not. b) Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a bestfitting line to predict how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y , for 12 different semesters.A scatterplot of the data along with the best fitting line is presented below. a. The correlation between the two variables is r = .89. Calculate and interpret the value of r2.b. The equation for the best fitting line is Y = 9.30 + 0.673X. Explain and interpret the value of 9.30.c. How many books should the store order for a class of 50 students? Would you trust this prediction?5. A prescription balance has a sensitivity requirement of 6.5 mg. Explain how you would weigh 20 mg of a substance with an error not greater than 2%.
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- A researcher thinks that watching violent televisions increases aggressive behavior in children. To test this hypothesis, she randomly assigns 48 children into one of 3 groups (no violent TV, a little violent TV, or a lot of violent TV) and observes their playground behavior for three weeks and measures it for violence and intensity. For the variable “amount of TV” (as it appears in this problem), what is the scale of measurement? a. nominal b. ordinal c. interval d. ratio A researcher thinks that watching violent televisions increases aggressive behavior in children. To test this hypothesis, she randomly assigns 48 children into one of 3 groups (no violent TV, a little violent TV, or a lot of violent TV) and observes their playground behavior for three weeks and measures it for violence and intensity. If the researcher’s hypothesis is correct, which of the following conclusions could be drawn? a. Fail to reject the null, watching violent TV does not increase…Police Department A and Department B each use the same set of data about the number of safety violations. Department A calculates an interval of 12% to 15%, Department B calculates an interval of 10% to 17%. Which department can be more confident their interval contains the true percentage of safety violations?The highway department wants to estimate the proportion of vehicles on a Highway at KM 25 between midnight and 5:00 A.M. The head of the department wants to see how many 18-wheel tractor trailers pass on the road. These estimates will be used to determine highway repairs and construction considerations and in highway patrol planning. The department chief asked investigators to calculate estimates of vehicles at different locations on inter-island roads over the past 7 days. From 3,481 vehicles counted there are 927 are 18-wheel drive. However, out of the total 927, there were 51 vehicles that had accidents so that the sample was calculated based on the results of a reduction in the number of accidents. Specify an approximate point for the proportion of vehicles performingtravel on KM 25 during this time period which is an 18-wheeled vehicle!(Assume the confidence level is 99%). What are the benefits of estimating value estimates in this case (analysis of the answers you have obtained)?