Carson Manufacturing has decided to use an R-Chart to monitor the changes in the variability of their 78.00 pound bolts. The production manager randomly samples 9 bolts and measures the weight of the sample (in pounds) at 16 successive time periods. Table Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places. Answer How to enter your answer Control Chart Period 1 2 3 4 The average of the selected cell(s) is 78.000. Copy Value obs1 obs2 obs3 obs4 obs5 obs6 obs7 78.00 78.01 78.04 77.96 77.98 78.04 78.04 77.97 78.04 0.08 77.96 77.97 78.05 78.00 77.98 77.99 78.02 77.99 77.98 0.09 78.04 77.98 77.96 78.05 77.96 77.99 78.01 78.03 78.02 0.09 77.97 78.04 78.00 77.99 78.00 78.03 77.96 78.02 78.02 78.04 0.08 obs8 obs9 Sample Range Copy Table

In a student survey, fifty-two part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below: Please round your answer to 4 decimal places for the Relative Frequency if possible. # of Courses Frequency Relative Frequency Cumulative Frequency 1   0.3269 17 2 19 0.3654 36 3 16      What percent of students take exactly one courses? %

The following histogram shows the exam scores for the pre algebra class. Use this histogram to answer the questions. Find the class width for this histogram.

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made the time period of January 1 to March 31. The table gives the defect and the number of defects. Do the data support the notion that each defect type occurs in the same proportion? Test at the 5% level. Number of Defective Lenses Defect type Number of defects Scratch 1866 Right shaped - small 1935 Flaked 1979 Wrong axis 1921 Chamfer wrong 1864 Crazing, cracks 1991 Wrong shape 2004 Wrong PD 1895 Spots and bubbles 1917 Wrong height 1885 Right shape - big 1875 Lost in lab 1886 Spots/bubble - intern 1935   State the hypotheses.H0: Each defect type     in the same proportion.Ha: Each defect type     in the same proportion. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to three decimal places.χ2 =  Calculate the p-value. Round to four decimal places.p-value =  State your decision.Since p-value     0.05,…