A manufacturer of sports equipment has developed a new synthetic fishing line that the company claims has a mean breaking strength of 7.5 kilograms with a standard deviation of 0.7 kilogram. Test the hypothesis that µ = 7.5 kilograms, against the alternatives: (a) µ 6= 7.5; (b) µ > 7.5; (b) µ < 7.5. Given that a random sample of 50 lines is tested and found to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance α, compute the corresponding P–values.

Jeanne Lewis is attempting to evaluate two possible portfolios consisting of the same five

assets but held in different proportions. She is particularly interested in using beta to compare

the risk of the portfolios and, in this regard, has gathered the following data.

Portfolio Weights

Asset Asset Beta Portfolio A Portfolio B

1 1.3 10% 30%

2 0.7 30% 10%

3 1.25 10% 20%

4 1.1 10% 20%

5 0.9 40% 20%

Total 100% 100%

an electronics store sends out a survey to seven new customers to determine if they are satisfied with their purchase. Assume the probability a customer will be satisfied is 0.7.
a. What is the mean number of customers that will be satisfied?

b. What is the standard deviation of the number of customers satisfied? 4. What is the probability of exactly five customers being satisfied?

c. What is the probability of at least one customer being satisfied? (Hint: use the compliment of “at least one”. Give the answer to seven places to the right of the decimal point

Current (annualised) US Treasury spot rates are as follows:

Derive six-monthly forward rates, including six- months forward rate 6 month from now - _0.5f_0.5, six-month forward rate 12 months from now - ₁f_0.5, and six-months forward rate 18 months from now - _1.5f_0.5 for the bond. Show calculations. (4.5 marks)

Suppose that in the Grand Canyon, a random sample of 23 Anna's hummingbirds ( a species of hummingbird ) was taken, and their weights averaged 4.15 grams(g) with a sample standard deviation of s=0.7. (PLEASE SHOW ALL WORK AND KEEP ALL DIGITS FOR THE ANSWERS.)

(a) Find and interpret 95% and 99% confidence intervals for the population mean weight of Anna's hummingbirds.

(b) Find the sample size you would have to have taken so that the error E for a 92% confidence interval is no more than 0.03 g.

Environmental lapse rate = 0.1 degree C/100m upto 100 m altitude (surface temperature drop at nighttime).

Environmental lapse rate = -0.7 degree C/100m after 100 m altitude

The adiabatic lapse rate is based on moist air.

Find the atmospheric condition from the example below.

a) Mixed radiational inversion

b) Radiational inversion

c) Subsidentail inversion

d) Frontal inversion

e) Advective inversion

Will upvote, thanks in advance

People here spend money trying to counter baldness while people in other countries are starving to death.On the other hand, foreign aid may be distributed as political favors rather than going to those most in need. Should the U.S. work on achieving the Millennium Aid goal for contributions to increase the U.S. contribution to 0.7% of its GDP or help countries that are starving? I was thinking about Persistent poverty, Economic growth, Human Capital but it seems that it does not fit on both sides.

The column has dimension of 500 mm x 500 mm and carries an axial load of 1210 KN dead load and 650 KN live load. Allowable soil pressure is 240 Kpa. There is 0.7 m height of soil having a unit weight of 15.74 KN/m3, fc’ = 20.7 Mpa, fy = 276.5 Mpa. The footing section is 2.8 m x 2.8 m with a 600 mm thickness. Use 25 mm diameter main bars.

Crisp Cookware's common stock is expected to pay a dividend of $1.75 a share at the end of this year (D₁ = $1.75); its beta is 0.7. The risk-free rate is 5.6% and the market risk premium is 4%. The dividend is expected to grow at some constant rate, g_L, and the stock currently sells for $80 a share. Assuming the market is in equilibrium, what does the market believe will be the stock's price at the end of 3 years (i.e., what is )? Do not round intermediate calculations. Round your answer to the nearest cent.

Problem 1: In the figure to the right, m1=20.0kg and α=53.1o . The coefficient of kinetic friction between the block and the incline is µk=0.40. a) What must be the mass m2 of the hanging block if it is to descend 12.0 m in the first 2.00 s after the system is released from rest? b) For the µk in the problem, what mass m2 will provide constant velocity of m1 down the incline? c) Suppose µs is 0.7, what is the maximum mass m2 that will still cause no movement?