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- Find the area under the normal curve between (a) z ¼ 1:20 and z ¼ 2:40, (b) z ¼ 1:23 and z ¼ 1:87, and (c) z ¼ 2:35 and z ¼ 0:50, (d) Work parts (a) through (c) using EXCEL.The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0 Reference SAS image to answer following questions 1. A. What are the appropriate null and alternative hypotheses for this research question using the appropriate population parameter(s) for SAS output for a t-test? b. Based on the output, which p-value tests the following hypotheses if you want to use a two-sample independent pooled t-test? Provide the specific test statistic and p-value. 2. From the output, what is the estimate of the pooled standard deviation? 3. From the output, what is the standard error for the average difference in…The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0 A. From the output, what is the standard error for the average difference in dental measurements in the population of 16 year old boy and 16 year old girls (assume the population variances are equal) B. From the output, interpret the 95% confidence interval for the true average difference in dental measurements
- a. What is the average elastic modulus of nylon when the forces are low? Do not be surprised by the large value. It is even bigger for aluminum and steel. Explain your work. Length (mm) Mass (gm)1171 701176 1701182 2701188 3701194 4701212 6701230 9201245 11701262 14201274 16701283 19201288 2170 b. Identify a practical situation where the failure of Hooke's law and the non-linear response that happened here for nylon would be apparent and have a practical impact in everyday life.fine the area under the normal standard curve that lies between z=1.26 and z=2.32An experiment to determine the effect of four different types of engine oil (A, B, C, and D) on the rolling friction coefficient of a car speed has been conducted. Three brands of car (Honda, Toyota, and Mazda) were chosen, and each engine oil was tested twice on each car, producing the following ANOVA output in Figure 2. i) How many treatments involved? Write down all the treatments ii) Identify the number of replication for each treatment. iii) Based on the ANOVA table above, find the values of W, X, Y and Z. iv) Test the interaction effect on rolling friction coefficient of car speed between the four different types of engine oil and the three different brands of car. v) Do we need to test for marginal effect? Give a reason.
- Find the average value of ƒ(x) = mx + b over [-k, k]A law enforcement organization claims that their radargun is accurate to within 0.5 miles per hour for a courthearing. An independent organization hired to test theaccuracy of the radar gun conducted 12 tests on a projectilemoving at 60 miles per hour. Given the data inthe following table, determine if the radar gun can beused in court. State the hypothesis and base your commentson an appropriate α level.Enter T for true or F for false: a. The Durbin-Watson test focuses on 1st order autocorrelation. ____ b. Autocorrelation will tend to cause the calculated standard error of the estimate to be underestimated. ____
- The article “Monte Carlo Simulation—Tool for Better Understanding of LRFD” (J. of Structural Engr., 1993:1586–1599) suggests that yield strength (ksi) for A36 grade steel is normally distributed with a mean of 50.2 ksi and a standard deviation of 3.8 ksi.. What yield strength separates the strongest 5% from the others? (Use 2 decimal places) Show the area of interest in the density curve.Find the average value of the function f (attached) over the given region (attatched).Einar Óli measured the area of scallops in two places in Breiðafjörður and used a t-test to find out if there was a difference in the area of scallops in these two places. Type II error occurred when Einar Óli performed his hypothesis test. What happened?