1 In Economics Education, there has been a significant focus on the gender mix of undergraduate...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1 In Economics Education, there has been a significant focus on the gender mix of undergraduate programmes in Economics. You should define the true proportion of females within undergraduate economics programmes across the UK as p, where p is unknown. To investigate this, you have randomly sampled 50 individuals, and asked them their sex. Of the 50 individuals, 14 were female, and 36 were male. a) Write down the probability distribution function of a random variable X that takes the value 1 when an observation is female and 0 otherwise amongst economics students. b) When you randomly sample 50 individuals, this is equivalent to randomly sampling 50 observations, X; from the PDF defined in a). The number of females, in your sample, can be defined as: c) d) Calculate p Y = 1 == n 50 Σ i=1 Write down the distribution of Y in terms of p. Hint: what distribution will Y follow? Calculate E (Y) and var (Y) as a function of p Xi n 1 X₁. What is the interpretation of p in this example? 1 In Economics Education, there has been a significant focus on the gender mix of undergraduate programmes in Economics. You should define the true proportion of females within undergraduate economics programmes across the UK as p, where p is unknown. To investigate this, you have randomly sampled 50 individuals, and asked them their sex. Of the 50 individuals, 14 were female, and 36 were male. a) Write down the probability distribution function of a random variable X that takes the value 1 when an observation is female and 0 otherwise amongst economics students. b) When you randomly sample 50 individuals, this is equivalent to randomly sampling 50 observations, X; from the PDF defined in a). The number of females, in your sample, can be defined as: c) d) Calculate p Y = 1 == n 50 Σ i=1 Write down the distribution of Y in terms of p. Hint: what distribution will Y follow? Calculate E (Y) and var (Y) as a function of p Xi n 1 X₁. What is the interpretation of p in this example?
Expert Answer:
Related Book For
Systems Analysis and Design
ISBN: 978-1133274636
9th Edition
Authors: Shelly Cashman, Gary B. Shelly and Harry J. Rosenblatt
Posted Date:
Students also viewed these mathematics questions
-
Consider a Carnot-cycle heat pump having 1 kg of nitrogen gas in a cylinder/piston arrangement. This heat pump operates between reservoirs at 300 K and 400 K. At the beginning of the low-temperature...
-
Draw a context diagram and a diagram 0 DFD that represent the registration system at your school or an imaginary school.
-
Draw a context diagram and a diagram 0 DFD that represents the information system at a typical library.
-
Question 4: Partners M, N, and O agreed to share the net income or loss in the ratio of 5:4:3 respectively. Their capital balances were Rs.80, 000, Rs. 70, 000 and Rs. 60, 000. They decided that "O"...
-
Two alternative mosquito control programs have been proposed to reduce the health risks of West Nile disease in a state over the next five years. The costs and effectiveness of each program in each...
-
If Karp had used FIFO instead of LIFO, its reported net income for the year ended 31 December 2009 would have been higher by an amount closest to: A. $30 million. B. $38 million. C. $155 million....
-
Use the data in Exercise 21 in Section 13.1 for the following. a. Compute a point estimate of the mean lifespan of butterflies with a wingspan of 30 millimeters. b. Construct a 95% confidence...
-
Dominick Corporation is authorized to issue 10,000 shares of $40 par value, 10% preferred stock and 200,000 shares of $5 par value common stock . On January 1, 2012, the ledger contained the...
-
8.23 A two-element rectangular strain gage rosette is mounted on the outer surface of a solid circular shaft of diameter d which is loaded by a torsional moment T. Show the orientation of the gages...
-
Think of a question that youd like to know the answer to that might be answered with a survey. What are the questions? Identify the variables and answer the questions above.
-
What type of feedback sets an appropriate range of responses and only gives feedback if performance falls outside of that range?
-
What is the purpose of a minimum-security prison? What type of security does a minimum-security prison offer? If the inmates are considered such a low risk, should such prisons be phased out in favor...
-
Background Facts Young Rodman Young Rodman was born in Australia on 5 August 1985, and has lived in Australia his entire life. Young lives in a large family home with his wife and children. All...
-
Assume that a project requires the purchase of a machine that cost P2 million and will cost P3 million to install. Additional working capital of P150 000 will also be required when the project is...
-
A car with mass M moving at 4.65m/s speed collides with a car twice as massive that is travelling in the same direction but at 1/3 of the first car's speed. If the two vehicles entangled together...
-
There are two definitive paths to terrorism; the "top-down process" and the "bottom-up process" (CSIS, 2007, in your week three content folder). Unfortunately, due to certain laws, civil rights, and...
-
How is character data in R mapped to a relational database management system (RDBMS)? Either with a fixed sized "CHARACTER" column or a variable size VARCHAR Column Using R's to char () method Always...
-
Represent each of the following combination of units in the correct SI form using an appropriate prefix: (a) m/ms, (b) k m, (c) k s /mg, and (d) k m N.
-
Precision Tools sells a line of high-quality woodworking tools. When customers place orders on the companys Web site, the system checks to see if the items are in stock, issues a status message to...
-
What are data warehousing and data mining? Are the terms related?
-
What is the emerging role of object-oriented analysis and design methods? Agile methods?
-
Discuss the parts of the communications mix.
-
What choice criteria did Jim and Mary use when deciding whether to buy a computer and which model to buy?
-
Did the salesperson understand the motives behind the purchase? If not, why not? Did s/he make any other mistakes?
Study smarter with the SolutionInn App