The automated data collection system for a manufacturing process will record data for 25,000 parts per day. Assume that, when stable, a certain process will operate with a nonconformance rate of 37.6 NCPPM (nonconforming parts per million). If the nonconformance rate per day is to be monitored using a control chart, what type of chart would be used? Choose a P, U, or X-Bar/S Charts, and explain in a few words.
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- The Environmental Protection Agency (EPA) requires that cities monitor over 80 contaminants in their drinking water. Samples from the Lake Huron Water Treatment Plant gave the results shown here. All observations were below the allowable maximum, as shown by the reported range of contaminant levels. (presumably the mean would be the midrange). Substance Range Detected Allowable Maximum Origin of Substance Chromium 0.45 to 0.61 100 Discharge from steel and pulp mills, natural erosion Barium 0.006 to 0.018 2 Discharge from drilling wastes, metal refineries, natural erosion Fluoride 1.04 to 1.14 4 Natural erosion, water additive, discharge from fertilizer and aluminum factories For each substance, estimate the standard deviation σ by assuming uniform distribution and normal distribution shown in Table 8.8 in Section 8.7. (Round your answers to 4 decimal places.)Based on the image attached, Select one: a. V only b. I and VI only c. VI only d. II and V onlyThomas wants to compare the mean concentration of carbon monoxide (CO) on residential versus commercial streets, since these differ in terms of car traffic. In each of three neighborhoods of Montréal (named A, B, and C below), he randomly chooses four locations for each type of street, for a total of 24 observations (2 street types x 3 neighborhoods x 4 locations). At each location, he measures CO concentration in the air over a period of 10 hours (8:00 AM-6:00 PM), and obtains the following data (in ppm/h). Question: Test whether or not the difference between residential and commercial streets in mean atmospheric CO concentration is the same among the three neighborhoods, and whether or not CO concentration in the air is the same, on average, for the two types of streets. Note that Neighborhood is considered a random block factor in the ANOVA. Use significant level= 0.05.
- Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 20,17,15,15,22,21,16,16,20,22,15,21 Give the test statistic for this hypothesis test. Choose the correct answer from below options: a) z = 17.92 b) t = −5.17 c) t = 2.90 d) t = 5.17 e) z = −2.90 f) z = 5.17 g) t = −17.92Please please answer thatthe temperature of a coffee cup is 185.3 degrees, is it a discrete or a continuos data set?
- Steele Industries has decided to use an R-Chart to monitor the changes in the variability of their 86.0086.00 pound metal shafts. The production manager randomly samples 77 metal shafts and measures the weight of the sample (in pounds) at 1818 successive time periods. Table Control Chart Copy Table Step 1 of 7 : What is the Center Line of the control chart? Round your answer to three decimal places. Period obs1 obs2 obs3 obs4 obs5 obs6 obs7 Sample Range1 86.03 85.98 86.05 86.03 85.97 85.96 86.03 0.092 86.05 86.05 86.01 86.05 86.00 85.98 86.00 0.073 86.01 86.04 86.04 85.97 85.99 86.00 86.01 0.074 85.96 85.99 86.00 85.96 86.05 86.00 86.03 0.095 86.03 85.99 86.02 85.96 85.96 86.04 86.00 0.086 85.96 86.03 85.96 85.97 85.98 86.02 86.05 0.097 86.05 86.04 86.05 85.99 85.96 85.98 86.02 0.098 85.99…A study was carried out to determine the influence of a trace elementfound in soil on the yield of potato plants grown in that soil, defined asthe weight of potatoes produced at the end of the season. A large fieldwas divided up into 14 smaller sections for this experiment. For eachsection, the experimenter recorded the amount of the trace elementfound (in milligrams per metre squared) and the corresponding weightof the potatoes produced (in kilograms). This information is presentedin the worksheet ‘Dataset5’ in the Excel document. Define X as thetrace element amount and Y as the yield.1. Draw a scatterplot of your data set.Page 52. Calculate the coefficients of a linear equation to predict the yieldY as a function of X.3. Calculate the correlation coefficient for the paired data values.4. Set up the framework for an appropriate statistical test to establish if there is a correlation between the amount of the trace element and the yield. Explain how having the scatterplot referredto…The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…
- The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. The table contains data for beak heat loss, as a percentage of total body heat loss from all sources, at various temperatures in degrees Celsius. The data show that beak heat loss is higher at higher temperatures and that the relationship is roughly linear. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (°C) 15 16 17 18 19 20 21 22 23 24 25 26 27 Percent heat loss from beak 33 33 33 31 37 44 56 52 45 54 46 55 57An investigation of the properties of bricks used to line aluminum smelter pots was published in an article. Six different commercial bricks were evaluated. The life span of a smelter pot depends on the porosity of the brick lining (the less porosity, the longer the life span); consequently, the researchers measured the apparent porosity of each brick specimen, as well as the mean pore diameter of each brick. See the table. Apparent Porosity (y). Mean Pore Diameter (x). Click the icon to view the table. Data table Mean Pore Diameter Apparent Porosity (%) (micrometers) Brick Interpret the y-intercept of the line. Choose the correct answer below. 18.7 12.0 В 18.3 9.8 O A. The y-intercept is Bo- This value has no meaning because 0 is not in the observed range of the independent variable mean pore diameter. 16.3 7.3 6.9 5.4 O B. The y-intercept is Bo: For each unit increase in mean pore diameter, the mean porosity is estimated to increase by B0- 17.2 10.9 O C. There is not enough…How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! © Macmillan Learning (a) Make a scatterplot. Which is the explanatory variable? The plot shows a negative linear pattern. Explanatory Variable: How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data…