Labels on 1-gallon cans of paint usually indicate the drying time and the area that can be covered in one coat. Most brands of paint indicate that, in one coat, a gallon will cover between 350 and 500 square feet, depending on the texture of the surface to be painted. One manufacturer, however, claims that a gallon of its paint will cover 450 square feet of surface area. To test this claim, a random sample of twenty 1-gallon cans of white paint were used to paint 20 identical areas using the same kind of equipment. The sample mean and sample standard deviation are: x=445.8 and s=47.5.Test using a = .05 a) If you were the manufacturer and wanted to make sure that your claim that a gallon of its paint will cover 450 square feet of surface area. what null hypothesis and alternate hypothesis would you test? H.:. H: b) What is the test statistic and critical value? c) What conclusion can you draw?

Compute the cross-sectional area of the grooved block shown. Round the answer to 1 decimal place.

The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?

One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…

3) An inventor has developed a new spray coating that is designed to improve the wear of bicycle tires. To test the new coating, the inventor randomly selects one of the two tires on each of 50 bicycles to be coated with the new spray. The bicycle is then driven for 100 miles and the amount of the depth of the tread left on the two bicycle tires is measured (in millimeters). It is desired to determine whether the new spray coating improves the wear of the bicycle tires. The data and summary information is shown below: Bicycle | Coated Tire (C) | Non-Coated Tire (N) 0.785 1.452 1.634 0.844 50 1.211 0.954 Coated Non-Coated Difference Мean 1.38 0.85 0.53 Std. Dev. 0.12 0.11 0.06 Sample Size 50 50 50 Use the summary data to calculate the test statistic to determine if the new spray coating improves the mean wear of the bicycle tires. A) z = 62.46 В) — 34.25 C) z = 55.26 D) z = 23.02

The department of zoology at the Virginia Polytechnic Institute and State University carried out a study to determine if there is a significant difference in the density of organisms in two different stations located in Cedar Run, a secondary river that is located in the river basin. Roanoke. Drainage from a sewage treatment plant and overflow from the Federal Mogul Corporation sedimentation pond enter the flow near the source of the river. The following data give the density measurements, in numbers of organisms per square meter, at the two different collecting stations. Number of organisms per square meter Station 1 Station 2 5030 2800 13700 4670 10730 6890 11400 7720 860 7030 2200 7330 4250 2810 15040 1330 4980 3320 11910 1230 8130 2130 26850 2190 17660   22800   1130   1690   With a significance level of 0.05, can we conclude that the densities are the same in the two…

Three different corrosion-resistant coatings are being considered for use on iron pipes. Ten pieces of pipe are marked off in six equal segments. For each pipe, two segments received coating A, two received coating B, and the remaining two received coating C. The pipes were placed in a corrosive environment for a period of time; then the depth of the deepest pit (in mm) caused by corrosion was measured for each segment on each pipe. The effect of interest is the coating; the pipe is a blocking factor, and there were two replications on each pipe. The following sums of squares were calculated: sum of squares for blocks = 11.2, sum of squares for treatments = 4.8, sum of squares for interactions = 18.4, total sum of squares = 44.7. a) Construct an ANOVA table. You may give ranges for the P-values. b) Are the assumptions for a randomized complete block design satisfied? Explain. c) Does the ANOVA table provide evidence that mean pit depth differs among coatings? Explain.

The amount of pollution produced by cars was measured for cars using gasoline containing different amounts of lead.   A. Independent B. Dependent

The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. Samples of five tires from each grade were selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are shown below. Complete parts (a) through (c) below. Grade X Grade Y Q 567 573 577 581 584 570 574 577 579 583 a. For each of the two grades of tires, compute the mean, median, and standard deviation. The mean for Grade X is mm. (Type an integer or a decimal.) C

A sample of ore is found to be 0.0022% gold and 0.059% silver. What is the percentage of matter in the ore that is neither gold or silver?