4. Draw graphs of the % change in moment of inertia against the change in dimension on the X-X axis and Y-Y axis Discuss and compare your results from the two samples. Section / Bor h = 25mm | W = 12mm Section 2 (Pipe) Thiz hness= Diameter = 36" 52 1₁²=54² 25m 12mm -36mm
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- (a) Calculate a 95% two-sided CI for the true average bond strength. (b) Calculate a 95% two-sided CI for the proportion of all such bonds whosestrength values would exceed 10. show major intermediate steps.a sample of 4 students was taken and information about daily pocket money in tl (Y) and spending in tl (x) was collectedimagine a large class where nearly everyone scores between 83.84%, with hardly any dispersion beyond this narrow range (so it would appear to have a very narrow peak). How would your describe this distribution of data in terms of kurtosis?
- Records for the last 15 years have shown that the average rainfall in a certain region of the country, for the month of March, to be 1.20 inches, with s = 0.45 inches. A second region had an average rainfall of 1.35 inches, with s = 0.54. estimate the difference of the true average rainfalls in those two regions as a 95% C.I. with the assumption of normal populations and unequal variances.The weights of a bag of cement admixture produced by a company is approximately normally distributed with a mean of 9.0 kilograms and a variance of 0.64 kilogram. If measurements are recorded to the nearest tenth of a kilogram, find the proportion of these bags with weights (a) of at most 8.4 kilograms; (b) between 7.1 and 9.2 kilograms inclusive. (With continuity correction)The molecular weight of a particular polymer should fall between 750 and 1,035. Thirty samples of this material were analyzed with the results X-bar = 902 and s = 90. Assume that molecular weight is normally distributed.
- Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. What is the subpopulation mean when x = 7 servings per day?The highway department wants to estimate the proportion of vehicles on Interstate 25 between the hours of midnight and 5:00 A.M. that are 18-wheel tractor trailers. The estimate will be used to determine highway repair and construction considerations and in highway patrol planning. Suppose researchers for the highway department counted vehicles at different locations on the interstate for several nights during this time period. Of the 3,263 vehicles counted, 1,009 were 18-wheelers.a. Determine the point estimate for the proportion of vehicles traveling Interstate 25 during this time period that are 18-wheelers.b. Construct a 99% confidence interval for the proportion of vehicles on Interstate 25 during this time period that are 18-wheelers.find the out of control average run length for the control chart for defects when: shifted rate of defects =6.4 UCL = 2.61 LCL = 0.2 REPORT YOUR ANSWER IN 6 DECIMAL PLACES!
- The "spring-like effect" in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow: Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871 Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476 Test the hypothesis that both brands of ball have equal mean overall distance. Use α = 0.05 and assume equal variances. Question: Reject H0 if t0 < ___ or if t0 > ___.A data set has a first quartile of 42 and a third quartile of 50. Compute the lower andupper limits for the corresponding box plot. Should a data value of 65 be consideredan outlier?When the size of samples gets larger, the standard error of the sample means . Need more specific information Stays the same Increases Decreases