What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Suppose we have the following information. Note: In 1851 there were 25,466 nurses in Great Britain.
Compute the standard deviation σ for ages of nurses shown in the distribution. (Round your answer to two decimal places.)
| Age range (yr) | 20-29 | 30-39 | 40-49 | 50-59 | 60-69 | 70-79 | 80+ |
| Midpoint x | 24.5 | 34.5 | 44.5 | 54.5 | 64.5 | 74.5 | 84.5 |
| Percent of nurses | 5.9% | 9.9% | 19.1% | 29.3% | 25.2% | 8.9% | 1.7% |
In: Statistics and Probability
Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 4, what is the probability that
NOTE: I'd like to learn how to do this in the shortest way possible on ti 84 plus calculator.
a) x>43
b) x<42
c) x>57.5
d) 42 <x<48
e) x<40 or x>55
f) 5% of the values are less than what X value?
g) 60% of the values are between what two X values (symmetrically distributed around the mean)?
h) 85% of the values will be above what X value?
In: Math
Two discharge wells (1 and 2) penetrating an unconfined aquifer are pumped at constant rates of 3,000 and 500 m^3 per day , respectively. The steady-state head (i.e., water table height) measured at an observation well is 40 meters . The observation well is 50 meters from well 1 and 64 meters from well 2. The water table height measured at a second observation well is 32.9 meters , which is located 20 meters from well 1 and 23 meters from well 2. Determine the aquifer permeability K (in m/day).
In: Civil Engineering
The following data are monthly sales of jeans at a local department store. The buyer would like to forecast sales of jeans for the next month, July.
(a) Forecast sales of jeans for March through June using the
naïve method, a two-period moving average, and exponential
smoothing with an ? = 0.2. (Hint: Use naïve to start the
exponential smoothing process.)
(b) Compare the forecasts using MAD and decide which is best.
(c) Using your method of choice, make a forecast for the month of
July.
| Month | Sales |
| January | 45 |
| February | 30 |
| March | 40 |
| April | 50 |
| May | 55 |
| June | 47 |
In: Operations Management
Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F).
| x | 20.5 | 15.5 | 18.8 | 17.5 | 16.3 | 15.5 | 14.7 | 17.1 |
| y | 87.8 | 70.4 | 92.9 | 83.5 | 81.2 | 75.2 | 69.7 | 82.0 |
| x | 15.4 | 16.2 | 15.0 | 17.2 | 16.0 | 17.0 | 14.4 |
| y | 69.4 | 83.3 | 79.6 | 82.6 | 80.6 | 83.5 | 76.3 |
Complete parts (a) through (e), given Σx = 247.1, Σy = 1198, Σx2 = 4107.43, Σy2 = 96,302.7, Σxy = 19,855.58, and r ≈ 0.796.
(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
| Σx = | |
| Σy = | |
| Σx2 = | |
| Σy2 = | |
| Σxy = | |
| r = |
(c) Find x, and y. Then find the equation of the least-squares
line = a + bx. (Round your answers for
x and y to two decimal places. Round your answers for a
and b to three decimal places.)
| x | = | |
| y | = | |
| = | + x |
(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
| r2 = | |
| explained | % |
| unexplained | % |
(f) What is the predicted temperature when x = 19.0 chirps
per second? (Round your answer to two decimal places.)
°F
In: Statistics and Probability
Problem: Given seven 8-mers as listed below
ATCGATAG
GGCCAATT
CGATATCG
AAGCAAGC
AGCGTACG
CCGCATTA
ATCCATCG
1) Create the profile matrix; 2) Derive the consensus; 3) Calculate the consensus score; 4) Calculate the total distance between the 8-mers and the consensus.
In: Computer Science
Hatchet Corporation sells one product (using the periodic system of inventory) and had the following inventory transactions during the current month: Beginning Inventory 200 units costing $7 each Purchase on the 5th 600 units costing $8 each Purchase on the 17th 400 units costing $10 each Units sold during the month 900 units at a retail price of $15 each Answer the following questions in the space below. Calculate the cost of goods sold during the month using the Last-In-First-Out method of inventory allocation. Calculate the ending inventory balance (in dollars) using the Weighted-Average method of inventory allocation.
In: Accounting
Ms. Child is considering the purchase of a new food packaging system. The system costs $85,295. Ms. Child plans to borrow one-third of the purchase price from a bank at 4.5% per year compounded annually. The loan will be repaid using equal, annual payments over a 7-year period. The system is expected to last 15 years and have a salvage value of $22,384 at that time. Over the 15 year period, Ms. Child expects to pay $1,033 per year for maintenance. The system will save $2,983 per year because of efficiencies. Ms. Child uses a MARR of 8% to evaluate investments. What is the equivalent uniform annual worth (EUAW) of this system?
In: Finance
The national average of college students on a test of sports trivia is 50 with a standard deviation of 5. A sportscaster is interested in whether BC students know less about sports than the national average. The sportscaster tests a random sample of 25 BC students and obtains a mean of 48 Use an alpha level of 0.05. Is this a one-tailed or two tailed test?
In: Statistics and Probability
In: Finance