A manufacturer has developed a new fishing line, which the company claims has a mean breaking strength of 14.5 kilograms with a standard deviation of 0.8 kilograms. Believing the mean breaking strength is less than what company has claimed, a customer protection agency took a random sample of 40 such fishing lines and found that the mean breaking strength for this sample is 13.2 kilograms. Given the breaking strength of all such lines have a normal distribution, test whether the agency’s suspicion is valid or not at 1% significance level.

Please provide correct answer without using excel formulas.

1. Std. Err (standard error): The average deviation of sample means from the hypothesized population mean of 4.73 drinks is about 0.44 drinks.
2. T-stat (T-score): The observed sample mean of 3.93 drinks is 1.8 standard errors below the hypothesized population mean of 4.73 drinks.
3. P-value: If the population mean is 4.73 drinks, there is a 7.2% chance that sample means will have an error larger than that observed in our sample (observed error = 4.73 – 3.93 = 0.8 drinks) when selecting random samples of 75 students.

Can someone summarize these points

The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that this American man consumes between 9.5 and 10.1 grams of sodium per day.

c. The middle 10% of American men consume between what two weights of sodium?
Low:
High:

Suppose the proportion X of surface area in a randomly selected quadrat that is covered by a certain plant has a standard beta distribution with α = 5 and β = 3.

(a) Compute E(X) and V(X). (Round your answers to four decimal places.)

E(X) =

V(X) =

b) Compute P(X ≤ 0.6). (Round your answer to four decimal places.)

(c) Compute P(0.6 ≤ X ≤ 0.8). (Round your answer to four decimal places.)

(d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.)

a) A k-out-of-n system is one that will function if and only if at least k of the n individual components in the system function. If individual components function independently of one another, each with probability 0.8, what is the probability that a 4-out-of-6 system functions?

b) Obtain ?(?(?−2)) where ? ~???????(?)

c) Service calls arrive at a maintenance center according to a Poisson process, with average 3.1 calls per minute.

(i) Obtain the probability that no more than 4 calls arrive in a minute.

(ii) Obtain the probability that more than 7 calls arrive in a three-minute interval

The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N( , )

b. Find the probability that this American man consumes between 8.6 and 9.5 grams of sodium per day.

c. The middle 20% of American men consume between what two weights of sodium? Low: High:

The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that this American man consumes between 10.6 and 11.1 grams of sodium per day.

c. The middle 20% of American men consume between what two weights of sodium?

Low:

High:

The current stock price for a company is $38 per share, and there are 8 million shares outstanding. The beta for this firms stock is 0.8, the risk-free rate is 4.3, and the expected market risk premium is 6.2%. This firm also has 230,000 bonds outstanding, which pay interest semiannually. These bonds have a coupon interest rate of 7%, 28 years to maturity, a face value of $1,000, and an annual yield to maturity of 8%. If the corporate tax rate is 35%, what is the Weighted Average Cost of Capital (WACC) for this firm? (Answer to the nearest hundredth of a percent, but do not use a percent sign).

A car is traveling up a 1.5% grade at 65 mi/hr on good, wet pavement. The driver brakes to try to avoid hitting a cone on the road that is 300 ft ahead. The driver’s reaction time is 1.5 second. When the driver first applies the brakes, a software flaw causes the braking efficiency to lower to 0.8 for 100 ft. After the initial 100 ft, the braking efficiency returns to 1.0. How fast will the driver be going when the cone on the road is hit if the coefficient of rolling resistance is constant at 0.015? (Assume minimum theoretical stopping distance and ignore aerodynamic resistance.)

An economy has full-employment output of 1500. Suppose desired consumption and desired investment are
?? = 125 + 0.75(? − ?) − 400?
?? = 200 − 100?
G is the level of government purchases, and T=100

Money demand is
?? ?
= 0.8? − 2000(? + ??)
where the expected rate of inflation, ??, is 0.05. The nominal supply of money M = 2000.

2. Asset market equilibrium and the LM curve.

i) Derive the LM curve when the price level is equal to the solution in part (h) [Hint: Use the price level from the part (2-h) to get the real money supply]

Solution in part H is P = $2