and the women have a mean height of 1.62 m. Find the mean height of the 100 mathematicians. (Total 4 marks) 3. The mean of the population x1‚ x2‚ ........ ‚ x25 is m. Given that = 300 and = 625‚ find (a) the value of m; (b) the standard deviation of the population. (Total 4 marks) 4. A supermarket records the amount of money d spent by customers in their store during a busy period. The results are as follows: Money in $ (d)|0–20|20–40|40–60|60–80|80–100|100–120|120–140| Number of customers
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analysing the data is determining if outliers exists within the data. The presence of outliers must be evaluated because their existence could distort the data and make it inaccurate. In order to determine if outliers exist the average and standard deviation must be calculated in order to calculate the Z score‚ which will show‚ wither or not outliers exist. In this instance to outliers where found present in the data set as all of the data fell within the +3‚-3 range‚ the largest positive outlier was
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Chapter 12 Problems 1. Cash flow (LO2) Assume a corporation has earnings before depreciation and taxes of $100‚000‚ depreciation of $50‚000‚ and that it has a 30 percent tax bracket. Compute its cash flow using the format below. Earnings before depreciation and taxes _____ Depreciation _____ Earnings before taxes _____ Taxes @ 30% _____ Earnings after taxes _____ Depreciation _____
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calculator results compare to the mean and absolute deviation? How do these results compare to your own individual data? Which method is more accurate? The mean was 10 g/mL‚ while the calculator’s results for the line of best fit showed that the density was 9.615736862 g/mL. This is not a large difference‚ but the calculated average is more accurate in comparison to the accepted value of the density of lead‚ or 11.343716 g/mL. The average absolute deviation‚ when done by hand‚ was .8 g/mL. Because 10-9
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Century National Bank The following case will appear in subsequent review sections. Assume that you work in the Planning Department of the Century National Bank and report to Ms. Lamberg. You will need to do some data analysis and prepare a short written report. Remember‚ Mr. Selig is the president of the bank‚ so you will want to ensure that your report is complete and accurate. A copy of data appears in Appendix N. (EXCEL) Century National Bank has offices in several cities in the Midwest
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14‚ 15‚ 15‚ 16. The mean is 14.0mm.What is the best estimate of the standard deviation? -1mm 5 1000 bananas were collected from a single plantation and weighed.Their masses formed a normal distribution. How many bananas would be expected to be within 2 standard deviations of the mean? -950 6 In a normal distribution‚ what percentage of values fall within ±1 standard deviation of the mean and ±2 standard deviations of the mean? -1= 68% -2=95% 7 The lengths of the leaves of dandelion plants
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13. Variance and Standard Deviation (expected). Using the data from problem 13‚ calculate the variance and standard deviation of the three investments‚ stock‚ corporate bond‚ and government bond. If the estimates for both the probabilities of the economy and the returns in each state of the economy are correct‚ which investment would you choose considering both risk and return? Why? ANSWER Variance of Stock = 0.10 x (0.25 – 0.033)2 + 0.15 x (0.12 – 0.033)2 + 0.50 x (0.04 – 0.033)2 + 0
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tar per cigarette and a standard deviation equal to 1.0 milligram. Suppose a sample of 100 low-tar cigarettes is randomly selected from a day’s production and the tar content is measured in each. Assuming that the tobacco company’s claim is true‚ what is the probability that the mean tar content of the sample is greater than 4.15 milligrams? [0.00621] 2. The safety limit of a crane is known to be 32 tons. The mean weight and the standard deviation of a large number of iron rods are
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decreases by -0.347 average number of hours per week. Next‚ we have to interpret the random error component ( ) of the least squares line. The estimate of error standard deviation for this particular data set is 12.28455 which suggests that the work-life balance score (y) values should be two times of the standard deviation. This can be best expressed as in the equation of 2s = 2(12.28455) which equals 24.57 average hours per week. Then‚ we can analyze the accuracy of hypothesis model to see
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obtain the highest overall reliability? 17. A major television manufacturer has determined that its 19-inch color TV picture tubes have a mean service life that can be modeled by a normal distribution with a mean of six years and a standard deviation of one-half year. a. What probability can you assign to service lives of at least (1) Five years? (2) Six years? (3) Seven and one-half years? b. If the manufacturer offers service contracts of four years on these picture tubes‚ what percentage
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