et the random variable x follow a normal distribution with μ = 50 and σ2 = 64.
a. find the probability that x is greater than 60.
b. find the probability that x is greater than 35 and less than 62 .
c. find the probability that x is less than 55.
d. the probability is 0.2 that x is greater than what number?
e. the probability is 0.05 that x is in the symmetric interval about the mean between which two numbers?
In: Statistics and Probability
how do I figure this? please give examples with explanation. I am at a loss
Danny hired Suzy as a consultant. she reports the following:
should price increase, decrease or stay the samem
Product: chili, price elasticity-5.
product: soft drink, price elasticity 1
product: beef stew, price elasticity -0.25
product: salad, price elasticity -.036
product: brownie, price elasticity-5.1
product: fried chicken, -0.2
In: Economics
•The rotor impedance at standstill of a three-phase, Y-connected, 208-V, 60Hz, 8-pole, wound-rotor induction motor is 0.1 + j0.5 Ω/phase. •Determine the breakdown slip, (0.2) the breakdown (maximum) torque, (458.37 Nm) and the power developed by the motor at maximum torque (34.6kW). •What is the starting torque of this motor? (176.3 Nm) •Determine the resistance that must be inserted in series with the rotor circuit so that the starting torque is 50% of the maximum torque. (0.034Ω)
In: Electrical Engineering
When an airbag explodes, there are 3 different types of reactions that occur. Sodium azide produces nitrogen gas but there is a bi-product of Na. Na is very reactive and must be neutralized. For this, potassium nitrate is used. This creates two further compounds, sodium oxide and potassium oxide, which must be neutralized by silicon dioxide.
Chemical reactions:
1. Sodium Azide is ignited. Nitrogen gas fills nylon bag at 150-250 miles/hr
NaN3 ? N2 + Na
2. Reaction with potassium nitrate (1st stage to eliminating dangerous by-products)
Na + KNO3 ? N2 + Na2O + K2O
3. Reaction with sodium and potassium oxide to form silicate glass (2nd stage to eliminating dangerous by-products)
K2O + SiO2 ? K4SiO4 Na2O + SiO2 ? Na4SiO4
A typical 60L airbag requires 5.82 moles of nitrogen gas to fill it up. A manufacturer puts 65.0 g of SiO2 in an airbag. Using stoichiometry, we are going to find out how many grams of SiO2 is required to completely neutralize the dangerous by-products of the airbag reaction & conclude whether 65.0 g is enough.
PART A:
1. Use stoichiometry to calculate the number of moles of sodium produced by the first reaction if 378.3g of NaN3 is used. SHOW ALL YOUR WORK & BE NEAT!! Use significant figures where appropriate.
NaN3? N2+Na
PART B:
2. Sodium is very reactive and must be neutralized. Using the number of moles of Na produced from the first reaction, calculate using stoichiometry. SHOW ALL YOUR WORK & BE NEAT!! Use significant figures where appropriate.
Na + KNO3 ? N2 + Na2O + K2O
2a) how many moles of Na2O are created?
2b) how many moles of K2O are created?
PART 3 ; SHOW ALL YOUR WORK AND BE NEAT.
The products Na2O + K2O are also dangerous, and must further be neutralized by SiO2 to produce K4SiO4 and Na4SiO4
3a) What mass of SiO2 would be required in order to fully react with all of the of K2O from question (2)?
K2O + SiO2 ? K4SiO4
3b) What mass of SiO2 would be required in order to fully react with all of the of Na2O from question (2)
Na2O + SiO2 ? Na4SiO4
4. How much SiO2 is needed in total? Was 65 g of SiO2 enough?
In: Chemistry
Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 p.m. with the meters off resulted in the following speeds (in miles per hour).
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Does there appear to be a difference in the speeds?
A.Yes, the Meters Off data appear to have higher speeds.
B.Yes, the Meters On data appear to have higher speeds.
C.No, the box plots do not show any difference in speeds.
Are there any outliers?
A.Yes, there appears to be a high outlier in the Meters On data.
B.No, there does not appear to be any outliers.
C.Yes, there appears to be a low outlier in the Meters On data.
D.Yes, there appears to be a high outlier in the Meters Off data.
Are the ramp meters effective in maintaining a higher speed on the freeway? Use the alphaαequals=0.01 0.01 level of significance. State the null and alternative hypotheses. Choose the correct answer below.
Determine the P-value for this test.
Choose the correct conclusion
A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
Determine the P-value for this hypothesis test.(round to 3 decimals)
State the appropriate conclusion. Choose the correct answer below.
The data is
Carpeted: 15.3,12.9,10.2,6.9,15.6,12.7,10.6,14.6
Uncarpeted;8.7,10,11.2,10.7,14,6.9,6.4,11.1
In: Statistics and Probability
Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 p.m. with the meters off resulted in the following speeds (in miles per hour).
|
|
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Does there appear to be a difference in the speeds?
A.Yes, the Meters Off data appear to have higher speeds.
B.Yes, the Meters On data appear to have higher speeds.
C.No, the box plots do not show any difference in speeds.
Are there any outliers?
A.Yes, there appears to be a high outlier in the Meters On data.
B.No, there does not appear to be any outliers.
C.Yes, there appears to be a low outlier in the Meters On data.
D.Yes, there appears to be a high outlier in the Meters Off data.
Are the ramp meters effective in maintaining a higher speed on the freeway? Use the alphaαequals=0.01 0.01 level of significance. State the null and alternative hypotheses. Choose the correct answer below.
Determine the P-value for this test.
Choose the correct conclusion
A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
Determine the P-value for this hypothesis test.(round to 3 decimals)
State the appropriate conclusion. Choose the correct answer below.
The data is
Carpeted: 15.3,12.9,10.2,6.9,15.6,12.7,10.6,14.6
Uncarpeted;8.7,10,11.2,10.7,14,6.9,6.4,11.1
In: Statistics and Probability
Do a two-sample test for equality of means assuming unequal
variances. Calculate the p-value using Excel.
(a-1) Comparison of GPA for randomly chosen
college juniors and seniors:
x¯1x¯1 = 4.75, s1 = .20, n1
= 15, x¯2x¯2 = 5.18, s2 = .30,
n2 = 15, α = .025, left-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick" rules for
degrees of freedom.)
| d.f. = | |
| t-calculated = | |
| p-value = | |
| t-critical = | |
(a-2) Based on the above data choose the correct
decision.
Do not reject the null hypothesis
Reject the null hypothesis
(b-1) Comparison of average commute miles for
randomly chosen students at two community colleges:
x¯1x¯1 = 25, s1 = 5, n1 =
22, x¯2x¯2 = 33, s2 = 7, n2
= 19, α = .05, two-tailed test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick" rules for
degrees of freedom.)
| d.f. = | |
| t-calculated = | |
| p-value = | |
| t-critical = | +/- |
(b-2) Based on the above data choose the correct
decision.
Reject the null hypothesis
Do not reject the null hypothesis
(c-1) Comparison of credits at time of graduation
for randomly chosen accounting and economics students:
x¯1x¯1 = 150, s1 = 2.8, n1
= 12, x¯2x¯2 = 143, s2 = 2.7,
n2 = 17, α = .05, right-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick" rules for
degrees of freedom.)
| d.f. = | |
| t-calculated = | |
| p-value = | |
| t-critical = | |
(c-2) Based on the above data choose the correct
decision.
Reject the null hypothesis
Do not reject the null hypothesis
In: Statistics and Probability
Do a two-sample test for equality of means assuming unequal
variances. Calculate the p-value using Excel.
(a-1) Comparison of GPA for randomly chosen
college juniors and seniors:
x¯1x¯1 = 4.75, s1 = .20, n1
= 15, x¯2x¯2 = 5.18, s2 = .30,
n2 = 15, α = .025, left-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick" rules for
degrees of freedom.)
| d.f. = | |
| t-calculated = | |
| p-value = | |
| t-criticaln = | |
(a-2) Based on the above data choose the correct
decision.
Do not reject the null hypothesis
Reject the null hypothesis
(b-1) Comparison of average commute miles for
randomly chosen students at two community colleges:
x¯1x¯1 = 25, s1 = 5, n1 =
22, x¯2x¯2 = 33, s2 = 7, n2
= 19, α = .05, two-tailed test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick" rules for
degrees of freedom.)
| d.f. = | |
| t-calculated = | |
| p-value = | |
| t-critical = | |
(b-2) Based on the above data choose the correct
decision.
Reject the null hypothesis
Do not reject the null hypothesis
(c-1) Comparison of credits at time of graduation
for randomly chosen accounting and economics students:
x¯1x¯1 = 150, s1 = 2.8, n1
= 12, x¯2x¯2 = 143, s2 = 2.7,
n2 = 17, α = .05, right-tailed
test.
(Negative values should be indicated by a minus sign. Round
down your d.f. answer to the nearest whole number and
other answers to 4 decimal places. Do not use "quick" rules for
degrees of freedom.)
| d.f. = | |
| t-calculated = | |
| p-value = | |
| t-critical = | |
(c-2) Based on the above data choose the correct
decision.
Reject the null hypothesis
Do not reject the null hypothesis
In: Statistics and Probability
In conxt to supplychain, Faw Motors, Inc., was incorporated in Volkswagen on July 01, 2003. It has 4 plants across the China that design, manufacture, and market earth moving, construction, and materials handling equipment. It also manufactures engines for earthmoving vehicles and tractor-trailers.
Faw Motors products are distributed worldwide. Net income last year totaled $350,000,000. Faw Motors has developed a “Transportation Quality” program in order to reduce shipping damages to its equipment and to ensure its just-in-time production and inventory system. The program consists of two parts. The first part ensures proper lifting and tie-down provisions by working with engineers in the design process. The second part focuses on internal practices to prepare the product for shipment.
The chief transportation quality engineer has developed a carrier certification program for both inbound and outbound freight. The program establishes standards requiring the carrier to adhere to 100 percent performance. Use of fewer certified carriers increases the amount of business given to each one. The price is obtained through competitive bidding. It is a function of the travel distance and the weight and density of the shipment.
At the present time, Faw Motors is considering one of three carriers to add to its list of certified carriers.
‘Carrier X’ has 10,000 trucks and a claim rate of 1.5 percent payment to revenue. The company’s pickup/delivery time meets the industry average of four days to transport from Beijing to Hong Kong.
‘Carrier Y’ implements a quality program for its 9,000 trucks to meet on time delivery. It has a 1 percent claim rate.
‘Carrier Z’ has 9,500 trucks and an excellent safety record, but it has not met the average pickup/delivery time. Its claim rate is 1 percent. (See Exhibit A for price estimates.)
EXHIBIT A
Price Estimatesper ton-miles (PPTM):
Carrier X: PPTM $1.05
Carrier Y: PPTM$1.15
Carrier Z: PPTM$0.95
Requirement:
a) Develop a checklist of items that should be considered when selecting a carrier.
b) What are the advantages of certifying the carriers?
c) Is price the most important factor in evaluating carriers? Justify your answer with an example.
d) What are the key factors regarding Faw’s carrier needs?
In: Economics
Mountain Distribution has decided to analyze the profitability of five new customers. The company has the following activities:
|
Activity |
Cost Driver Rate |
|
Order taking |
$80 per purchase order |
|
Customer visits |
$80 per customer visit |
|
Deliveries |
$4.00 per delivery mile travelled |
|
Product handling |
$0.85 per case sold |
|
Expedited deliveries |
$335 per expedited delivery. |
It buys bottled water at $12.20 per case and sells to retail customers at a list price of $14.50
per case. Data pertaining to the five customers are:
|
Customer |
|||||
|
P |
Q |
R |
S |
T |
|
|
Cases sold |
2,160 |
8,820 |
60,800 |
31,900 |
4,200 |
|
List selling price |
$14.50 |
$14.50 |
$14.50 |
$14.50 |
$14.50 |
|
Actual selling price |
$14.50 |
$14.22 |
$13.40 |
$14.02 |
$13.02 |
|
Number of purchase orders |
16 |
26 |
34 |
26 |
34 |
|
Number of customer visits |
3 |
5 |
8 |
3 |
5 |
|
Number of deliveries |
14 |
28 |
64 |
38 |
30 |
|
Miles travelled per delivery |
20 |
5 |
4 |
10 |
48 |
|
Number of expedited deliveries |
0 |
0 |
0 |
0 |
3 |
Requirement
|
1. |
Compute the customer-level operating income of each of the five retail customers now being examined (P, Q, R, S, and T). Comment on the results. |
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2. |
What insights are gained by reporting both the list selling price and the actual selling price for each customer? |
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3. What factors should Mountain Distribution consider in deciding whether to drop one or more of the five customers? Requirement 1. Compute the customer-level operating income of each of the five retail customers now being examined (P, Q, R, S, and T). Comment on the results. Begin by computing the customer-level operating income of each customer. (Enter all balances including zero balances. Use parentheses or a minus sign when entering operating losses. Round all answers to the nearest whole dollar.)
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In: Accounting