Six data sets are presented, some of them are samples from a normal distribution, and some of them are samples from populations that are not normally distributed. Identify the samples that are not from normally distributed populations.
L1: Drug concentration six hours after administration
L2: Reading scores on standardized test for elementary children
L3: The number of minutes clerical workers took to complete a certain worksheet
L4: The level of impurities in aluminum cans (in percent)
L5: The number of defective items produced during an hour
L6: The weight of trout in ounces
|
L1 |
L2 |
L3 |
L4 |
L5 |
L6 |
|
4.7 |
72 |
4.5 |
2.1 |
21 |
9.9 |
|
3.2 |
77 |
5.8 |
1.3 |
16 |
11.3 |
|
5.1 |
65 |
3.7 |
2.8 |
10 |
11.4 |
|
4.7 |
85 |
4.9 |
1.5 |
10 |
9 |
|
3.0 |
68 |
4.3 |
1.0 |
11 |
10.1 |
|
3.4 |
83 |
4.7 |
8.2 |
9 |
8.2 |
|
4.4 |
73 |
5.8 |
1.9 |
13 |
8.9 |
|
3.5 |
79 |
3.2 |
9.5 |
12 |
9.9 |
|
4.5 |
72 |
3.0 |
3.2 |
11 |
10.5 |
|
5.8 |
81 |
5.1 |
1.3 |
29 |
8.6 |
|
3.7 |
79 |
3.6 |
4.4 |
10 |
7.8 |
|
4.9 |
91 |
4.3 |
3.8 |
14 |
10.8 |
|
5.4 |
69 |
3.6 |
2.7 |
27 |
8.4 |
|
3.6 |
67 |
5.4 |
8.0 |
10 |
9.6 |
|
4.3 |
82 |
4.7 |
1.9 |
11 |
9.9 |
|
3.0 |
66 |
3.0 |
4.9 |
11 |
8.4 |
|
5.1 |
77 |
3.4 |
4.5 |
12 |
9.0 |
|
4.3 |
66 |
4.3 |
1.5 |
19 |
9. |
Give the Summary statistics for each list:
|
L1 |
L2 |
L3 |
L4 |
L5 |
L6 |
Sample mean
Sample standard deviation
n
Min
Q1
Med (Q2)
Q3
Max
In: Statistics and Probability
Matlab
Explain the codes below
% Jake.m
% Generate a frequency selective fading
function [r, iout, qout] = Jake(idata, qdata, nsamp, fs, fc, NN, N1_arr, velocity, counter_arr, delay_time, attn, flat)
%****************************** variables *******************************
% idata input Ich data
% qdata input Qch data
% nsamp Number of samples to be simulated
% fs Sampling frequency (Hz)
% fc Carrier Frequency (Hz)
% NN Number of paths
% N1 Number of waves in order to generate fading
% velocity Mobile speed in Km/h
% counter Fading counter
% delay_time Delay for each fading path (ns)
% attn Attenuation level for different fading paths (dB)
% flat flat fading or not
% r Envelope of fading channel complex impulse response
% iout output Ich data
% qout output Qch data
%************************************************************************
v = velocity./3.6; % m/s
c = 3e8;
fm = fc*v/c; % Maximum doppler frequency (Hz)
delay_samp = round(delay_time.*fs.*1e-9); % normalized delay time in number of samples
total_attn = sum(10.^(-1.0.*attn./10.0)); % normalize the power
tstp = 1/fs; % minimum time resolution
iout = zeros(1,nsamp);
qout = zeros(1,nsamp);
r = zeros(1,nsamp);
theta = zeros(1,nsamp);
for i=1:NN
atts = 10.^(-0.05.*attn(i)); % attenuation for current path
[itmp, qtmp] = delay(idata, qdata, nsamp, delay_samp(i));
[r_single, iout_single, qout_single] = fade2(itmp, qtmp, nsamp, tstp, fm, N1_arr(i), counter_arr(i), flat);
counter_arr = counter_arr+200; % update counter
iout = iout + atts.*iout_single./sqrt(total_attn);
qout = qout + atts.*qout_single./sqrt(total_attn);
end
r = sqrt(iout.^2+qout.^2);
In: Electrical Engineering
Use the following information for problems A-G.
A group of 44 women with gestational diabetes were assigned to one of two groups. Group 1 received standard care, and group 2 participated in group counseling visits. Researchers want to determine whether or not the birth weights of the infants of the mothers who participated in the group counseling visits were significantly different than the birth weights of mothers who received standard care at the α = 0.05 level. For your convenience, I have prepared an excel file with the birth weight in grams for both groups below. Use this data to answer questions 10-A.
What is the proper test to use?
| two-sample t-test for dependent samples |
| none of the above |
| two-sample t-test for independent samples |
| one-sample z-test |
B. What is the degrees of freedom for this study?
| 21 |
| 22 |
| 42 |
| 43 |
Question C.
What is the test statistic?
| 2.79 |
| 0.89 |
| 0.57 |
| 2.32 |
Question D
True or False, this finding is statistically significant.
| True |
| False |
Question E
Based on this information, the researcher should make the decision to ___________.
| reject the null hypothesis |
|
fail to reject the null hypothesis |
Question F
What is the effect size?
| 0.0019 |
| 0.70 |
| 0.35 |
| 1.0 |
Question G
How would you interpret this effect size?
| Medium |
| Strong |
| Weak |
| Group 1 | Group 2 |
| 4350 | 4395 |
| 4225 | 4375 |
| 4650 | 4225 |
| 5400 | 3335 |
| 3850 | 3975 |
| 4450 | 4020 |
| 4375 | 3725 |
| 3950 | 3825 |
| 4525 | 4125 |
| 5200 | 4425 |
| 4800 | 4375 |
| 4275 | 4055 |
| 4175 | 4500 |
| 4230 | 4875 |
| 4650 | 3855 |
| 4300 | 3955 |
| 4650 | 4355 |
| 4725 | 3975 |
| 4325 | 4550 |
| 4225 | 4325 |
| 4350 | 4675 |
| 4575 | 4745 |
In: Statistics and Probability
Passage 14 (Questions 78–81)
The following experiments study the reactivities of several active metals (Experiment 1) and halogens (Experiment 2).
Experiment 1
Pea-sized samples of five active metals were placed in deionized water, and observations were recorded in Table 1.
| Table 1 | Observations |
|
Metal used |
Observation upon adding the metal to water |
Observation of the resulting solution |
|
Mg |
No obvious reaction |
Neutral |
|
Ca |
Sank, and slowly gave off bubbles of a gas |
Basic |
|
Li |
Moved over the surface slowly fizzing |
Basic |
|
Na |
Moved over the surface vigorously fizzing, caught fire |
Basic |
|
K |
Moved over the surface vigorously fizzing, exploded loudly |
Basic |
Experiment 2
A saturated aqueous solution of Cl2 was added to separate aqueous solutions of NaF, NaCl, NaBr, and NaI and mixed well. Observations were recorded. In addition, samples of salt solutions were added to separate electrolysis cells, and the minimum voltage required to produce an observable reaction at the anode was recorded. H2(g) was produced at the cathode in each cell and, except for the NaF solution, the solutions became basic. Results are recorded in Table 2.
| Table 2 | Result |
|
Solution |
Chlorine water |
Electrolysis cell voltage and product |
|
NaF |
No change |
2.06 V; O2(g) |
|
NaCl |
No change |
2.19 V; Cl2(g) |
|
NaBr |
Red-brown |
1.90 V; Br2(aq) |
|
NaI |
Yellow-brown |
1.37 V; I2(aq) |
Experiment 1 was repeated with 0.40 g of calcium, and the gas
that evolved was collected. The identity of the gas, and its
approximate volume at 1.0 atm and 27°C were:
(Note: R = 0.0821 L•atm/mol•K)
H2, 250 mL.
H2, 500 mL.
O2, 250 mL.
O2, 500 mL.
In: Chemistry
1. Define the four types of chips observed in machining. Explain how different chips are obtained from materials of different ductility. 2. According to the Merchant Equation, an increase in rake angle would have which of the following results, if all remaining factors are constant (more than one correct answer): a. Decrease in friction angle b. Decrease in power requirements c. Decrease in shear plane angle d. Increase in cutting temperature e. Increase in shear plane angle 3. State and describe the orthogonal cutting model. Define chip ratio and explain why chip ratio is always < 1.0. 4. Explain the effect of cutting temperature in machining on the chip formation and finish of the machined parts. 5. Describe and state the difference between roughing and finishing in machining operations. 6. Define (a) cutting power, (b) Gross Power, and (c) Specific Power along with pertinent equations. 7. State and briefly describe the 3 stages of Tool Wear Rate using a plot. 8. Turning tests have resulted in a 1 minute tool life for cutting speed v = 4 m/s and a 20 minute tool life at a speed v = 2 m/s. a. Determine the values of n and C in the Taylor tool life equation ( , T = tool life [min], v = cutting speed [m/min]) b. Project how long the tool would last at a speed of v = 1 m/s 9. What are the 3 time components of the total production cycle for a part? What is the equation for the cycle time (Tc)? 10. Whatarethe4mainingredientsofacuttingfluid?Whatarethe3mainmethodsbywhichcutting fluids are introduced in a machining operation? 11. Whatarethe4maincosts(withequations)involvedwithproductionofapart?Howiscycletime related to the unit cost of production?
In: Mechanical Engineering
Smoky Mountain Corporation makes two types of hiking boots—the Xtreme and the Pathfinder. Data concerning these two product lines appear below:
| Xtreme | Pathfinder | |||||
| Selling price per unit | $ | 120.00 | $ | 87.00 | ||
| Direct materials per unit | $ | 65.20 | $ | 51.00 | ||
| Direct labor per unit | $ | 11.20 | $ | 8.00 | ||
| Direct labor-hours per unit | 1.4 | DLHs | 1.0 | DLHs | ||
| Estimated annual production and sales | 30,000 | units | 65,000 | units | ||
The company has a traditional costing system in which manufacturing overhead is applied to units based on direct labor-hours. Data concerning manufacturing overhead and direct labor-hours for the upcoming year appear below:
| Estimated total manufacturing overhead | $ | 2,033,000 | ||
| Estimated total direct labor-hours | 107,000 | DLHs | ||
Required:
1. Compute the product margins for the Xtreme and the Pathfinder products under the company’s traditional costing system.
2. The company is considering replacing its traditional costing system with an activity-based costing system that would assign its manufacturing overhead to the following four activity cost pools (the Other cost pool includes organization-sustaining costs and idle capacity costs):
| Estimated Overhead Cost |
Expected Activity | |||||
| Activities and Activity Measures | Xtreme | Pathfinder | Total | |||
| Supporting direct labor (direct labor-hours) | $ | 631,300 | 42,000 | 65,000 | 107,000 | |
| Batch setups (setups) | 876,000 | 410 | 320 | 730 | ||
| Product sustaining (number of products) | 460,000 | 1 | 1 | 2 | ||
| Other | 65,700 | NA | NA | NA | ||
| Total manufacturing overhead cost | $ | 2,033,000 | ||||
Compute the product margins for the Xtreme and the Pathfinder products under the activity-based costing system.
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.
In: Accounting
Under the assumptions of Modigliani and Miller’s original paper, a firm’s stock price will be maximized at 100% (debt, equity) . Signaling theory implies that a firm with extremely favorable prospects will be more likely to issue (stock, debt) to fund any new projects. When a firm announces a new stock offering, the price of its stock will usually (increase, decrease) . When information is (asymetric, symetric) , managers have more information about a firm’s prospects than investors do.
Drugal Brewing Co. currently has no debt in its capital structure, but it is considering using some debt and reducing its outstanding equity. The firm’s unlevered beta is 1.20, and its cost of equity is 11.40%. Because the firm has no debt in its capital structure, its weighted average cost of capital (WACC) also equals 11.40%. The risk-free rate of interest (rRFrRF) is 3%, and the market risk premium (RP) is 7%. Drugal Brewing Co.’s marginal tax rate is 35%.
Drugal Brewing Co. is examining how different levels of debt will affect its costs of debt and equity, as well as its WACC. The firm has collected the financial information that follows to analyze its weighted average cost of capital (WACC). Complete the following table.
| D/A Ratio | E/A Ratio | D/E Ratio | Bond Rating | Before-Tax Cost | Levered Beta (b) | Cost of | WACC |
|---|---|---|---|---|---|---|---|
| of Debt (rdrd) | Equity (rsrs) | ||||||
| 0.0 | 1.0 | 0.00 | — | — | 1.20 | 11.40 | 11.40 |
| 0.2 | 0.8 | 0.25 | A | 8.10 | ? | 12.80 | 11.29 |
| 0.4 | 0.6 | 0.67 | BBB | 8.50 | 1.72 | 15.04 | ? |
| 0.6 | 0.4 | 1.50 | BB | 10.90 | 2.37 | ? | 12.09 |
| 0.8 | 0.2 | ? | C | 13.90 | 4.32 | 33.24 | ? |
In: Finance
Portfolio Beta and Expected Return
Assume that CAPM holds and that both Apple and Yahoo plot on the SML. Apple has a beta of 2.6 and Yahoo has a beta of 0.9. The expected return on the market portfolio is 9.25% and the risk-free rate is 1.0%.
The expected return for Apple (in %):
Show the formula and calculations here:
Expected return for Yahoo (in %):
Show the formula and calculations here:
[Hint: Review: βp=i=1nwi×βi The sum of investment proportions (weights, wi ) must equal to one.]
Proportion of investment in Apple (in %):
Show your calculations here:
Proportion of investment in Yahoo (in %):
Show your calculations here: [Type here]
Expected return for your portfolio (in %):
Show the formula and calculations here:
Compare and comment on your portfolio expected return with the expected return of each of the individual stock. Is the expected return of your portfolio closer to that of Apple or Yahoo? Explain your answer. Include the investment weights (proportions calculated above) for each stock and relevant figures in your explanations. [Word limit: 120 words]
In: Finance
1.What values of x, y and z balance the equation:
x SO2 + y H+ + Cr2O72– → 3 SO42– + z Cr3+ + H2O ?
2.What is the stoichiometric ratio of solid phosphorus (P) to chlorine gas (Cl2) required to give phosphorus trichloride (PCl3)?
3.What is the mass fraction of carbon in aniline C6H5NH2 expressed as a percentage?
4.
Arrange the following in order of increasing amount of substance:
(i)
24 g of sodium metal
(ii) 40 g of
carbon dioxide
(iii) 4 g of
hydrogen gas
5.What volume of 0.220 M NaOH(aq) should be used to prepare 303 mL of 2.02 x 10–3 M NaOH(aq) ?
6.
Gold hydroxide Au(OH)3 is prepared for electroplating gold by the following reaction
2 KAuCl4(aq) + 3 Na2CO3(aq) + 3 H2O(l) → 2 Au(OH)3(s) + 6 NaCl(aq) + 2 KCl(aq) + 3 CO2(g)
The following amounts are mixed KAuCl4 = 2.3 mol,
Na2CO3 = 7.0 mol and H2O = 10
L.
What is the limiting reagent, and what amount of gold hydroxide is
formed if the reaction is ‘stoichiometric’? (M
(H2O) = 18 g mol–1, ρ(H2O) = 1.0
kg L–1)
Select one:
a. Na2CO3 , 1.57 mol
b. KAuCl4 , 4.6 mol
c. KAuCl4 , 2.3 mol
d. H2O , 6.9 mol
e. KAuCl4 , 6.9 mol
7.
What are the chemical formulae for the following acids: nitric acid, acetic acid, hydrochloric acid, sulfuric acid?
Select one:
a. H2NO3, CH3COOH, HClO2, H2SO3
b. HNO2, CH3COOH, HCl, HSO3
c. HNO3, CH3CH2OH, HCl, H2SO3
d. HNO2, CH3CH2OH, HClO, H2SO4
e. HNO3, CH3COOH, HCl, H2SO4
In: Chemistry
1:
A piece of solid magnesium is reacted with hydrochloric acid to form hydrogen gas:
Mg(s) + 2 HCl(aq) à MgCl2(aq) + H2(g)
What volume of hydrogen gas (in mL) is collected over water at 25 °C by reaction of 0.450 g of Mg (AW = 24.3 g/mol) with 5.00 mL of 1.0 M HCl? The barometer records an atmospheric pressure of 762 torr and the vapor pressure of water at this temperature is 23.35 torr.
2:
Given the following balanced chemical reactions and their enthalpies, calculate the enthalpy of reaction for 2C(s) + H2(g) ---> C2H2(g):
|
C2H2(g) + (5/2) O2(g) ---> 2 CO2(g) + H2O(ℓ) |
ΔH° = -1299.5 kJ |
|
C(s) + O2(g) ---> CO2(g) |
ΔH° = -393.5 kJ |
|
H2(g) + (1/2) O2(g) ---> H2O(ℓ) |
ΔH° = -285.8 kJ |
3:
A 10.00 mL aliquot of 0.100 M NaOH is added to 15.00 mL of 0.100 M HCl (don't try this at home, since acids and bases react violently to produce water and heat!) in a coffee cup calorimeter. The initial temperature of the two dilute liquids were both 25.0 ºC and the final temperature of the mixture was found to be 37.8 ºC. What is the (molar) heat of reaction for the neutralization?
4:
The heat of vaporization for toluene is 38.06 kJ/mol and the normal boiling point is 111 ºC. Using the Clausius-Clapeyron equation, calculate the vapor pressure of toluene at room temperature (25 ºC).
5:
What is the equilibrium constant for a weak acid HA that dissociates 1% at an initial concentration of 0.05 M according to the following balanced chemical equation?
HA(aq) ↔ H+(aq) + A-(aq)
In: Chemistry