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- 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,…Approximate the mean for following GFDT. Data Frequency 40 - 44 1 45 - 49 3 50 - 54 5 55 - 59 10 60 - 64 18 65 - 69 11 70 - 74 10 75 - 79 5 80 - 84 1 mean =The stem and leaf plot shows the number of minutes Cal talked on his phone each day for the past 14 days. Stem Leaf 05 15 4 5666 1. 47 Which data set is represented by this plot? O 0, 6, 11, 17, 25, 48, 50, 51, 54, 62, 64, 64, 64, 78 0,5, 11, 15, 26, 45, 46, 46, 46, 52, 60, 71, 84, 87 0,0, 1, 1, 2, 4, 5, 5, 5, 6, 6, 6, 6, 7 O 0,5, 11, 15, 26, 45, 46, 52, 60, 71, 84, 87
- The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. У, No. of absences, x 1 2 4 6. 7 8 9. Final grade, y 88.8 85.9 83.0 80.6 77.7 73.3 63.5 68.3 65.4 62.6 (Round to three decimal places as needed.) A. For every unit change in the final grade, the number of days absent falls by days, on average. B. For every day absent, the final grade falls by on average. C. For zero days absent, the final score is predicted to be 88.778 . D. For a final score of zero, the number of days absent is predicted to be days. E. It is not appropriate to interpret the y-intercept. (c) Predict the final grade for a student who misses five class periods and compute the residual. Is the observed final grade above or below average for this number of absences? The predicted final grade is |. This observation has a residual of, which indicates that the final grade is average. (Round to one decimal…山n Run a regression analysis on the following data set with y as the response variable. 39.5 12.5 3.1 36.8 11.2 -16.1 21.5 9- 45.2 41.5 38.3 54 What is the predicted value of the response variable when the explanatory variable has value 22.77 Round to 1 decimal place.Exhibit 9-5 n = 16 HO: u z 80 x = 75.607 Hạ: u < 80 o = 8.246 Assume the population is normally distributed. 3. Refer to Exhibit 9-5. The test statistic equals .53 -2.131 -.53 2.131
- Find Q1, the median, Q3, and the IQR for the data shown below. (Exclude the median from the lower half and from the upper half of the data.) 14 17 18 23 24 48 55 56 68 76 88 Q1 Median= Q3 = IQR = %3DThe prediction equation for the data given below is y_hat = -3.98 + 0.56x. What is the residual value when x = 10? 10 2 11 2 15 4 17 0.38 1.62 None ExistsA pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below. Height Head Circumference 27 17.5 25 17 26.5 17.2 25.5 17 27.75 17.4 26.25 17.4 26 17.1 27.25 17.4 data table n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 compute the linear correlation coefficient between the height and head circumference of a child. r = ____ (round to three decimal places as…
- Find the z-score that has 70.54% of the distribution's area to its right. Click to view page 1 of the table. Click to view page 2 of the table. O A. - 0.82 В. - 0.54 С. 0.82 D. 0.54Save Exercise 11.07 Algo (Inferences About a Population Variance) In 2017, Americans spent a record-high $9.1 billion on Halloween-related purchases (the balance website). Sample data she adults spent on a Halloween costume are as follows. 14 66 23 64 36 39 30 42 53 16 16 99 42 35 65 26 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)? 24 b. What is the sample standard deviation (to 2 decimals)? 24 c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Hallowe Table 11.1. 24 0= Icon Key Exercise 11.07 Algo (Inferences About a Population Variance) SaveFind the mean, the median and the mode of the given data set. (Round your answers to four decimal places. If there is more than one mode, enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) S = {45, 45, 60, 70, 75, 75, 85} mean median mode