The table above gives the area underneath an unknown probability density function to the left of continuous random variable, x. Note that the table is similar in structure to a z-tabl where the value of x is given in the left column and top row and the related area underneath the pdf is the main body of the table. Use the table to answer to find the probabilities below. P(2.2 < x< 3.8) P(x > 2.72)
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- Data collected by a price reporting agency from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a liter of unleaded gasoline was $0.87. The following data show the price per liter ($) for a sample of 20 gasoline and convenience stores located in San Francisco. 0.97 0.97 1.29 0.92 0.96 0.96 0.98 0.93 1.01 0.96 0.96 0.97 0.96 1.03 1.12 0.95 0.94 1.01 0.93 0.92 (a) Use the sample data to estimate the mean price in dollars for a liter of unleaded gasoline in San Francisco. (Round your answer to three decimal places.) (b) Compute the sample standard deviation in dollars. (Round your answer to three decimal places.) (c) Compare the mean price per liter for the sample data to the national average price. What conclusions can you draw about the cost of living in San Francisco? The average price for a liter of unleaded gasoline in San Francisco is lower than/higher than/same as the national average. This indicates…Data collected by a price reporting agency from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a liter of unleaded gasoline was $0.87. The following data show the price per liter ($) for a sample of 20 gasoline and convenience stores located in San Francisco. 0.97 0.97 1.25 0.92 0.92 1.00 0.94 0.97 1.01 0.96 0.96 0.97 0.92 1.03 1.12 0.95 0.98 0.97 0.97 0.96 (a) Use the sample data to estimate the mean price in dollars for a liter of unleaded gasoline in San Francisco. (Round your answer to three decimal places.) $ (b) Compute the sample standard deviation in dollars. (Round your answer to three decimal places.) $ (c) Compare the mean price per liter for the sample data to the national average price. What conclusions can you draw about the cost of living in San Francisco? The average price for a liter of unleaded gasoline in San Francisco is the national average. This indicates that the cost of living in San…The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite). 1: 20.3 28.1 27.8 27.0 27.5 25.2 25.3 27.1 20.5 31.2 2: 26.1 24.0 26.2 20.2 23.9 34.0 17.1 26.8 23.7 24.8 3: 30.2 34.0 27.5 29.4 28.4 26.2 29.9 29.5 30.0 36.1 4: 36.3 44.2 34.1 30.3 32.0 33.1 34.1 32.9 36.3 25.3 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H0: ?1 = ?2 = ?3 = ?4 Ha: all four ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 Ha: at least two ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: all four ?i's are equal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: at least two ?i's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Source df Sum ofSquares MeanSquares f Treatments Error Total Give the test statistic. (Round your answer to two decimal places.)f = What can be said about the P-value for the test? P-value >…
- The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite). 1: 20.6 28.1 27.8 27.0 27.9 25.2 25.3 27.1 20.5 31.2 2: 26.5 24.0 26.2 20.2 23.6 34.0 17.1 26.8 23.7 24.8 3: 30.2 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 35.8 4: 36.6 44.2 34.1 30.3 32.0 33.1 34.1 32.9 36.3 25.2 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: at least two ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: all four ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: at least two ?i's are unequal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Source df Sum ofSquares MeanSquares f Treatments Error Total Give the test statistic. (Round your answer to two decimal places.)There was a compete e^AT partA mining company finds that daily lost-work injuries averages to 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?
- The following data has been collected on the interarrival times of patients to an emergency department: 3.772, 1.761, 0.743, 15.988, 0.412, 7.541, 6.900, 3.447, 7.024, 1.061, 5.449, 0.309, 0.766, 4.807, 8.143, 0.093, 9.524, 0.012, 4.634, and 0.195 minutes. Estimate the squared coefficient of variation of the arrival process. Is the arrival process likely to be Poisson? Why or why not? Estimate the arrival rate?A sample of rental cars showed the following annual mileage (in thousands of miles) 46.768 34.813 69.194 36.927 57.666 36.003 42.961 37.194 47.750 41.738 44.239 34.052 31.731 54.661 30.928 47.847 31.286 38.813 40.166 32.905 42.057 49.834 47.556 37.729 22.120 40.822 41.104 62.399 32.550 43.558 10 The sum of squared miles is, a 60749.96 b 58980.55 c 57262.67 d 55594.82Following are the quantities and prices for the years 2010 and 2018 for Kinzua Valley Geriatrics. Use 2010 as the base period. 2010 2018ItemPriceQuantity PriceQuantitySyringes (dozen)$6.94 1,332 $6.18 1,957 Thermometers 8.32 5 16.38 15 Advil (bottle) 4.69 283 8.89 295 Patient record forms (box) 6.19 924 9.82 1,027 Copier paper (box) 10.48 55 25.96 81 %media:2excel.ext% Click here for the Excel Data File a. Determine the simple price indexes. (Round your answers to 2 decimal places.) b. Determine the simple aggregate price index for the two years. (Round your answer to 2 decimal places.) c. Determine the Laspeyres price index. (Round your answer to 2 decimal places.) d. Determine the Paasche price index. (Round your answer to 2 decimal places.) e. Determine Fisher's ideal index. (Round your answer to 2 decimal places.).
- The following are the drying times (minutes) of 100sheets coated with polyurethane under various ambientconditions:45.6 50.3 55.1 63.0 58.2 65.5 51.1 57.4 60.4 54.956.1 62.1 43.5 63.8 64.9 59.9 63.0 67.7 53.8 57.961.8 52.2 61.2 51.6 58.6 73.8 53.9 64.1 57.2 75.455.9 70.1 46.2 63.6 56.0 48.1 62.2 58.8 50.8 68.151.4 73.9 66.7 42.9 71.0 56.1 60.8 58.6 70.6 62.259.9 47.5 72.5 62.0 56.8 54.3 61.0 66.3 52.6 63.564.3 63.6 53.5 55.1 62.8 63.3 64.7 54.9 54.4 69.664.2 59.3 60.6 57.1 68.3 46.7 73.7 56.8 62.9 58.468.5 68.9 62.1 62.8 74.4 43.8 40.0 64.4 50.8 49.955.8 66.8 67.0 64.8 57.6 68.3 42.5 64.4 48.3 56.5Construct a frequency distribution of these data, usingeight classes.Suppose the price per share of stock for a sample of 25 companies was recorded at the beginning of the first financial quarter and then again at the end of the first financial quarter. How stocks perform during the first financial quarter is an indicator of what is ahead for the stock market and the economy. Company End of 1st quarter Beginning of 1st quarter Company 1 54.69 55.32 Company 2 56.20 78.52 Company 3 103.07 110.50 Company 4 80.45 85.08 Company 5 126.51 140.73 Company 6 133.23 137.28 Company 7 32.56 42.57 Company 8 51.41 54.54 Company 9 35.90 37.94 Company 10 14.55 19.48 Company 11 33.04 40.04 Company 12 45.33 40.36 Company 13 185.13 189.53 Company 14 109.28 109.45 Company 15 72.46 92.15 Company 16 49.32 55.03 Company 17 36.70 43.73 Company 18 79.57 86.18 Company 19 95.50 87.45 Company 20 43.09 47.09 Company 21 51.32 66.70 Company 22 77.45 86.53 Company 23 46.77 45.99 Company 24 46.45 48.13 Company 25 130.36 129.08 (a)…A sample of rental cars showed the following annual mileage (in thousands of miles) 46.768 34.813 69.194 36.927 57.666 36.003 42.961 37.194 47.750 41.738 44.239 34.052 31.731 54.661 30.928 47.847 31.286 38.813 40.166 32.905 42.057 49.834 47.556 37.729 22.120 40.822 41.104 62.399 32.550 43.558 11 The variance of the mileage data is, a 99.842 b 97.885 c 95.965 d 94.084