You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:
HoHo : pA=0.4pA=0.4; pB=0.2pB=0.2; pC=0.1pC=0.1; pD=0.3
| CATEGORY | OBSERVED FREQUENCY | EXPECTED FREQUENCY | RESIDUAL |
| A | 41 | ||
| B | 9 | ||
| C | 25 | ||
| D | 47 |
What is the chi-square test-statistic for this data?
χ2
For significance level alpha 0.025, what is the chi-square
Critical Value?
In: Statistics and Probability
Example #2A block with mass m = 5 kg sits on a surface with a coefficient of static friction sk= 0.5 and a coefficient of kinetic friction uk= 0.3. a)If you can pull on the block at any angle, what minimum force is required to break static friction and cause the block to slide? b)What is the optimal angle to pull at? c)If you pull at the optimal angle with the minimum force, what will the acceleration of the block be once static friction is broken?
In: Physics
Intro
We know the following expected returns for stocks A and B, given different states of the economy:
| State (s) | Probability | E(rA,s) | E(rB,s) |
| Recession | 0.2 | -0.03 | 0.02 |
| Normal | 0.5 | 0.12 | 0.05 |
| Expansion | 0.3 | 0.2 | 0.09 |
The expected return on the market portfolio is 0.09 and the risk-free rate is 0.02.
Attempt 3/10 for 8 pts.
Part 1
What is the standard deviation of returns for stock A?
In: Finance
Suppose that a two-year bond with a principal of $100 provides coupons at the rate of 6% per annum semiannually. Suppose that the zero-rates are
| Maturity (years) | Zero Rate (%) |
| 0.5 | 5.0 |
| 1.0 | 5.8 |
| 1.5 | 6.4 |
| 2.0 | 6.8 |
What is the bond's yield to maturity expressed with the continuous compounding?
- please use the formulas and explain step by step
In: Finance
Risk and Return
Sarah is a financial analyst of a portfolio consisting of the stocks shown below.
The risk free rate is 3% and the market risk premium is 8%.
Stock H, Investment $2mil, Beta 1.4
Stock I, Investment $3mil, Beta 1.0
Stock J, Investment $5mil, Beta -0.2
Compute beta and expected return of portfolio.
In: Finance
1.) Define standard temperature and pressure(STP). What is the value of the molar volume of any ideal gas at STP?
2.) What type of reaction is used to determine the yield of hydrogen gas in this experiment? Explain choice.
3.) How many grams of hydrogen can be expected from complete reaction of 1.0 g of Mg? Show work!
In: Chemistry
Ammonium nitrate (NH4NO3(s) decomposes into nitrogen, oxygen and water. If 10 g of ammonium nitrate decompose entirely at 350 *C with ΔrxnHo = -289. kJ
- How much heat is liberated?
- How much work would be done by the system?
- What will be the pressure of the system if, after completion of the reaction, the volume is 1.0 L and the temperature is 120°C?
In: Chemistry
A capacitor consists of two 4.3-cm-diameter circular plates separated by 1.0 mm. The plates are charged to 130 V , then the battery is removed.
A) How much energy is stored in the capacitor?
| U_C = __J |
How much work must be done to pull the plates apart to where the distance between them is 2.0 mm?
W = _J
In: Physics
1-The boiling point of dimethyl sulfoxide at 1 atm is 190 oC. Use the boiling point nomograph to determine the boiling point of dimethyl sulfoxide at 1.0 mmHg.
2-The refractive index of an unknown liquid was measured during a hot summer day and was found to be 1.5016 at 30 oC. Calculate the corrected refractive index for this unknown compound.
In: Chemistry
Pure liquid water has a heat of vaporization of x kJ/mol. The vapor pressure of water is 23.756 torr at room temperature (25 °C). What would the vapor pressure of water be expected to be at 37 °C? How would the vapor pressure be changed if 1.0 gram of NaCl were added to a volume of 100 mL of water?
In: Chemistry