Country A has 100 machines (physical capital) and a population of 100 (out which 80 are in the labour force). Discuss the effect on real GDP per capita if a. Population doubles (keeping machines constant at 100) b. Machines double (keeping the population constant at 100) (300-400 words)

Country A has 100 machines (physical capital) and a population of 100 (out which 80 are in the labour force). Discuss the effect on real GDP per capita if a. Population doubles (keeping machines constant at 100) b. Machines double (keeping the population constant at 100)

Country A has 100 machines (physical capital) and a population of 100 (out which 80 are in the labour force). Discuss the effect on real GDP per capita if a. Population doubles (keeping machines constant at 100) b. Machines double (keeping the population constant at 100)

1. Use Excel to generate 100 N (10,5) distributed random values (that is 100 values of a Normally distributed random variable with mean 10 and standard deviation 5). Plot histogram for your data. See Appendix on how to generate these values.

Given the following hypothesis:

H₀: μ = 100

H₁: μ ≠ 100

A random sample of six resulted in the following values:

Using the 0.01 significance level, can we conclude that the mean is different from 100?

a. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.)

Reject H₀: μ = 100 and accept H₁: μ ≠ 100 when the test statistic is  (Click to select)  inside the interval  outside the interval  (  ,  ).

b. Compute the value of the test statistic. (Round the final answer to 2 decimal places.)

Value of the test statistic            

c. What is your decision regarding H₀?

(Click to select)  Reject  Do not reject  H₀ .

d. Estimate the p-value.

(Click to select)  Zero  Close to zero  One

e-1. Construct a 99% confidence interval.

Confidence interval is from             to  .

e-2. Use the results of the confidence interval to support your decision in part (c).

(Click to select)  Reject  Do not Reject  H₀ .

A study randomly selected 100 samples, each of which consisted of 100 people, and recorded the number of left-handed people, X. The table below shows the probability distribution of the data. Find the mean and the standard deviation of the probability distribution using Excel.

• Round the mean and standard deviation to two decimal places.

An urn contains 100 balls that have the numbers 1 to 100 painted on them (every ball has a distinct number). You keep sampling balls uniformly at random (i.e., every ball is equally likely to be picked), one at a time, and without replacement. For 1 ≤ i < j ≤ 100, let Ei,j denote the event that the ball with number j was picked after the ball with number i got picked. Identify which of the following sets of events are independent and which are not :

(a) E7,13 and E41,79

(b) E7,13 and E13,8

(c) (E7,13 ∩ E13,8) and E8,7

Please show work

Water flowing at a rate of 100 Kg/min at 100 ^oC and 20 bars is heated at constant pressure to 400 ^oC. What are the initial and final phases of the water (subcooled liquid, saturated liquid, saturated steam, or superheated steam)? (saturation temperature of water at 20 bars is 212.4 ^oC).

• Explain why $100 received today is not the same as $100 received next year. What is the meaning of the time value of money.
• What is the purpose of learning the mathematics behind the time value of money?
• What are the factors that affect the overall level of interest rates?

Calculate the pH change when a) 100 mL of 0.0500M NaOH and b) 100 mL of 0.0500 M HCL are added to a 400.0 mL of a solution that contains .300 M ammonium chloride and .300 M ammonia (Kb,= 1.76 x 10^-5) Show work to get a good rating please