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- A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use 3.14.A rectangular wooden chopping board is advertised as being 17cm by 25 cm, each side measured to the nearest centimetre. (a) Calculate the percentage error in the measurement of the longer side. (b) Between what lower and upper limits does the actual area of the top of the chopping board lie?A machinist is required to manufacture a circular metaldisk with area 100 cm2 . (a) What radius produces such a disk?(b) If the machinist is allowed an error tolerance of + - 5 cm2in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?
- The circumference of the equator of asphere is measured as 10 cm with a possible error of 0.4 cm.This measurement is used to calculate the radius. The radius isthen used to calculate the surface area and volume of the sphere.Estimate the percentage errors in the calculated values of the volume.A. Clearly state an appropriate null hypothesis and an alternative hypothesis. B. What proportion of deaths occurred while the windows were set at a vertical orientation?A measurement scale that rates product quality as either 1 = poor, 2 = averi average and 3 = good is known as: A OBnominal C. ratio D. interval
- The National Institute of Standards and Technology (NIST) offers Standard Reference Materials to aid in the calibration of measurement instruments and verify the accuracy of measurements. Suppose a medical researcher wants to verify that the distances he measures with his computed tomography machine are not too large, so he orders a Dimensional Standard for Medical Computed Tomography from NIST. This standard consists of 18 plastic balls held in place by a plastic support structure. The certified distance between the balls numbered 2 and 7 is 11.26 mm, and NIST determines that measurement errors are normally distributed with a standard deviation of 0.05 mm. Upon receiving the Standard Reference Material, the researcher measured the distance between balls 2 and 7 six times. Take these six measurements to be a simple random sample of all measurements made on this device under carefully controlled conditions. The researcher then calculated the summary statistics, where ? is the mean…Answer for Following blank spaces of the image. (A) At the 0.05 level of significance, is there evidence of a difference in the mean computer anxiety experienced by different majors? Answer: Since F-ratio_________ 2.2685, we___________ the null hypothesis. Hence we conclude that______________A worker is cutting a square from a piece of sheetmetal. The specifications call for an area that is 16 cm2with an error of no more than 0.01 cm2 . How much error could be toler-ated in the length of each side to ensure that the area is within the tolerance?
- L’Hôpital’s Rule is used incorrectly. Describe the error.A manufacturer makes a metal can that hols 1 L (liter) of oil. What radius minimizes the amount of metal in the can?A Normal window is in the shape of a rectangle surmounted by a semi-circle. Whatis the ratio of the width of the rectangle to the total height so that it will yield awindow admitting the most light for a given perimeter?