Natalie

A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each batch of tablets produced is measured to control the compression process. The target value for 11.5. The hardness data for a random sample of 20 tablets from one large batch are given. the hardness is Н 11.627 11.374 11.383 11.477 = 11.613 11.592 11.715 11.570 A hypothesis test of Ho: μ = 11.2 Ha: μ # 11.2 11.493 11.458 11.485 11.623 11.602 11.552 11.509 11.472 11.360 11.463 11.429 11.531 where μ = the true mean hardness of the tablets using a = 0.05 has a P-value of 0.4494. Because the P-value of 0.4494 > a = = 0.05, we fail to reject Ho. We do not have convincing evidence that the true mean hardness of these tablets is different from 11.5. A 95% confidence interval for the true mean hardness measurement for this type of pill is (11.472, 11.561). Which is the following statements is not true with regards to the 95% confidence…

In a study of crop losses due to air pollution, plots of Blue Lake snap beans were grown in open-top field chambers, which were fumigated with various concentrations of sulfur dioxide. After a month of fumigation, the plants were harvested, and the total yield of bean pods were recorded for each chamber. Suppose X = sulfur dioxide concentration (ppm) and Y = yield (kg). Here is the information about the data. n = 17, xbar (sample mean of X) = 0.12, ybar (sample mean of Y) =1.117, sX = 0.11724, sY = 0.31175, r = -0.8506, SS(resid) = 0.2955 residual standard deviation (se) = 0.14 slope of the least-squares regression line: -2.26 Using the given information, what is the standard error of the slope (SEb1)? what’s the value of the test statistic (ts)?

Aircraft primer paints are applied to aluminum surfaces to improve paint adhesion. Theprocess engineering group responsible for this operation is interested in learning whetherthree different primers differ in their adhesion properties. An experiment was designed andconducted to investigate the effect of paint primer type on paint adhesion. For each primertype, six specimens were painted, then a finish paint was applied, and the adhesion force wasmeasured. The data from the experiment are shown in the following table.Adhesion force (MPa)Primer Type X 4.5 4.5 4 5 5.5 5Y 5.5 5.5 6 6.5 7 7Z 3.5 4 3 4 5 4.5a) What type of experiment is this? What type of analysis id needed for the investigation?Break down the details and parameters of this experiment design. You must list theparameters that were considered in the design and also mention the quantity of each.b) Does primer type make a significant impact on adhesion, at 5% significance level?