A normal distribution of scores has a standard deviation of 10 and a sample mean of 50. Find the probability corresponding to each of the following values: a. a score of 67 b. a score that is below 36 c. a score that is greater than 78 d. a score between 52 and 67
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MATHEMATICS IN THE MODERN WORLD (THUMBS UP WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTION. DO NOT USE EXCEL OR SOFTWARE. DO NOT SHORTCUT. MANUAL COMPUTATIONS NEEDED. SEE THE ATTACHED IMAGE FOR THE AREAS UNDER NORMAL CURVE.)
A
a. a score of 67
b. a score that is below 36
c. a score that is greater than 78 d. a score between 52 and 67
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- Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector measures 10 spacers and records the following thicknesses: 0.372" 0.376" 0.379" 0.375" 0.370" 0.373" 0.377" 0.378" 0.371" 0.380" Which spacers are defective (above the maximum limit or below the minimum limit)? All dimensions are in inches.1. t=1.00000 2. t=0.50000 3. t=0.25000 4. t=0.10000 5. t=0.0100039. The following table gives the approximate increase in sea level in inches over 20 years starting in the given year. Estimate the net change in mean sea level from 1870 to 2010. Starting Year 1870 1890 1910 1930 1950 1970 1990 20-Year Change 0.3 1.5 0.2 2.8 0.7 1.5 4 Table 5.3 Approximate 20-Year Sea Level Increases, 1870-1990 Source: http://link.springer.com/article/ 10.1007%2Fs10712-011-9119-1
- Find the area under the standard normal distribution curve between z=1.37 and z=1.58. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places. The area between the two z values isa) The average temperature (Centigrade) in London varies from 14C to 31C during the year. i. Calculate indices based on March, base = 100 ii. What is the %age variation between the highest and the lowest temperatures? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Temp C 15 22 19 24 29 28 31 28 27 22 18 14 Index b) Below are the no of customers, visiting a local Tesco Express, in the first week of holiday season. The store manager would like to avoid stock out in the busy period. Provide forecast of sales on Saturday next week, using 3 point moving average and seasonal variation. Assume same seasonal variation next period.The following are th P/E ratios (price of stock divided by projected earnings per share) for 20 banks. 15,22,29,19,22,19,31,15,29,18,34,24,23,21,14,21,17,50,23 find the 30th and 75th percentile for these ratios
- length period cm 1 19 0.8625 *. 24 0.9667 3 29 1.1083 4. 34 1.1958 ... 39 1.2292 ... 6 44 1.3625 7 49 1.4083 8 54 1.4542 9 58 1.5375 10 63 1.6792 11 68 1.6875 period vs length 1.7 1.6 1.5 1.4 1.3 1.2 1.1 1 0.9 20 30 40 50 60 length (cm) Display Curve Fit Uncertainties period Curve: t = Al +B A : 0.0167 B: 0.589 s RMSE : 0.0355 s r: 0.992 cm (s) pouadReal wage is a wage deflated by the current consumer price index. It gives information on how much current wage compares to the wage of given base year period. Real wage is obtained by dividing the nominal wage by the current Consumer Price Index (CPI) of a given month multiplied by 100. Table 1 below presents the real wage and nominal wage of non-agriculture workers in the Philippines as of December 2019 by region. Referring to the data, how many regions are below the 4th decile of the real wage?A. 4B. 5C. 6D. 7Referring to the data, how many regions are above the 80th percentile of the nominal wage?A. 4B. 5C. 6D. 7What is the Calculated mean age in Nj?
- *. For the following data, the Fisher's quantity index number for current year is Base year Current year Соmmodity Quantity Price Оuantity Price 6. 8. ii 8. 3 10 iii 12 10 iv 8. 6. (A) 112.88 (B) 111.88 (C) 122.88 (D) 101.88. 424 79The table below indicates the cost of certain air tel kiosk Z 0.15 0.20 0.25 0.75 0.80 0.85 1.85 1.90 1.95 2.00 2.05 Фz 0.0596 0.0793 0.0987 0.2734 0.2881 0.3023 0.4678 0.4713 0.4744 0.4772 0.4798 If it was stated that, the number of telephone calls received at a switchboard is approximately normal with a mean of 580 calls and a standard deviation of 10. REQUIRED Find the possibility that on a given day the number of calls received at the switchboard will be; Exactly 578 Less than 570 Between 561 and 600 inclusiveDetermine the number of significant digit/s in the following numbers: 1. 3.0800 2. 0.00418 3. 3.461728 + 14.91 + 0.980001 + 5.2631 4. 0.04216 – 0.0004134 5. 2.8723 x 1.6 (6305) 6. (0.010)