Dasani has two machines at a particular plant that are used for filling their plastic water bottles (nominal volume 16 ounces). The quality engineering department tells the plant manager that both machines fill to the same net volume (whether or not this volume averages 16.0 ounces). A random sample is taken from the output of the each machine. Table 1-Measured volume of water per bottle (fluid ounces) Machine 1 Machine 2 16.03 16.01 16.02 16.03 16.04 15.96 15.97 16.04 16.05 15.98 15.96 16.02 16.05 16.02 16.01 16.01 16.02 15.99 15.99 16.00 Do you think the quality engineering department is correct? Derive your answer from a complete hypothesis testing process.

Use R code, place the steps and screenshots of the procedure From the following data of the diameter of a particle in (μm) Calculate: Sample mean, Sample standard deviationHistogram (Frequency vs diameter), Histogram (probability density vs diameter)Curves (equation and graph) that fit the graphs and their explanation Diameter (μm) 2 2.6 1.2 1.8 0.8 2 1.4 1.4 1.4 1.8 1.4 1.4 1.4 0.6 1.2 1.2 41.4 1.4 2.4 1.4 2 2.4 1.8 1.4 2 1.8 2 1.8 0.8 2.2 2.8 2.8 4.6 2 1.4 2.4 1.2 1.4 1.2 5 1.4 1.2 2 0.8 1.4 1.8 1.2 2 1.4 1.4 1.8 2.6

Below a r bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. x y 11- 1- 1.0 1.0 1.0 7.5 10+ 9- 8- 7- 6- 10+ 2.0 8.8 8- 3.0 6.9 2.0 2.0 9- 3.0 3.0 7- 4.0 5.2 5.0 8.4 6.0 4.9 7.0 4.7 8.0 6.8 9.0 6.1 4.0 4.0 6- 5- 5- 5.0 5.0 4- 4- 6.0 6.0 3- 2 3- 7.0 7.0 2 1- 1- 8.0 8.0 9.0 9.0 10.0 10.0 Figure 1 10.0 4.2 Figure 2 1- 1.0 2.6 10- 1.0 6.7 10+ 9- 2.0 9.6 8- 3.0 3.6 2.0 4.5 9- 3.0 3.2 7- 1- 4.0 5.0 4.0 9.2 6- 6- 5- 5- 5.0 4.9 6.0 2.0 7.0 5.6 8.0 9.8 9.0 5.2 10.0 8.2 Figure 4 5.0 4.6 4- 6.0 7.0 7.0 6.0 8.0 7.7 3- 3- 2- 2- 1- 9.0 7.1 10.0 8.4 Figure 3 Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question. (a) For which data set is the sample correlation coefficient r closest to 0? ? Choose one) (b) Which data…

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Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 6 2 32 38 3 0 6 4 60 58 5 20 52 6 61 61 7 40 26 8 6 6 9 12 6 10 92 100 11 1 0 12 66 58 13 78 66 14 21 52   Specimen Direct Stratified 15 32 26 16 0 0 17 38 38 18 18 12 19 92 92 20 1 12 21 40 46 22 21 21 23 0 0 24 6 12 25 12 40 26 18 12 27 40 78   Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using  ? = 0.05.  (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t =  Find the df. (Round your answer down to the nearest whole number.) df =   Use technology to find the P-value. (Round your answer to four…

Answer and show complete solution. Pls don't rejectIn a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability: Ratios of Observed Settlement to Calculated Settlement of Piles 0.12 0.97 0.86 1.14 0.94 2.37 0.88 0.92 1.01 0.99 1.02 1.04 0.99 0.87 0.52 0.94 1.06 1.38 1.04 1.18 1 0.86 0.82 0.84 1.09 a. Assuming that the ratio is a normal random variable, construct a probability plot and observe if the data points follow a linear trend.

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A manufacturing company glues one part to another part during the assembly of its final product. Either too much or too little glue presents a problem. It is important for the pressure of the glue nozzle (pounds per square inch) to be set correctly because it affects the amount of glue (ounces) that is applied. Ten applications are sampled and the following information collected: SSXX  = 129.6            SSYY = 2.345             SSXY = 16.6   X bar = 25.2     Y bar = 2.05 What is the estimated y intercept?