1. Find the data for the problem in the first worksheet named LightbulbLife of the data file. It gives the data on the lifetime in hours of a sample of 100 lightbulbs. The company manufacturing these bulbs wants to know whether it can claim that its lightbulbs typically last more than 1000 burning hours. So it did a study.
   1. Identify the null and the alternate hypotheses for this study.
   2. Can this lightbulb manufacturer claim at a significance level of 5% that its lightbulbs typically last more than 1000 hours? What about at 1%? Test your hypothesis using both, the critical value approach and the p-value approach. Clearly state your conclusions.
   3. Under what situation would a Type-I error occur? What would be the consequences of a Type-I error?
   4. Under what situation would a Type-II error occur? What would be the consequences of a Type-II error?

The null and alternate hypotheses are:

H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂

A random sample of 9 observations from one population revealed a sample mean of 24 and a sample standard deviation of 3.7. A random sample of 6 observations from another population revealed a sample mean of 28 and a sample standard deviation of 4.6.

At the 0.01 significance level, is there a difference between the population means?

a. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)

c. Compute the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

d. State your decision about the null hypothesis.​

e.The  p-value is​

The Big Red Company sold merchandise to a customer for 500,000 on January 1^st, 2004 with a cost of 100,000. A payment of 100,000 is due at date of sale and annual payments of 100,000 due each succeeding January. The expected collectibility is exceptionally uncertain. Use the installment method of accounting and the cost recovery method to journalize the necessary entries.

Skittles Original Fruit bite-size candies are multicolored candies in a bag, and you can "Taste the Rainbow" with their five colors and flavors: green, lime; purple, grape; yellow, lemon; orange, orange; and red, strawberry. Unlike some of the other multicolored candies available, Skittles claims that their five colors are equally likely. In an attempt to reject this claim, a 4-oz bag of Skittles was purchased and the colors counted. Does this sample contradict Skittle's claim at the .05 level?

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(b) Find the p-value. (Give your answer bounds exactly.)
< p <

Apple recently had a stock split, so I decided to buy a few shares of Apple stock. As of today, Apple's beta is 1.28, the treasury yield is around 1.42%, and the market risk premium is 5.6% (Rudden, 2020). What is my expected return on Apple stock? Please explain your work.

Why the market tends to fail when dealing with environmental issues? It is said many externalities in environmental economics have features that are similar to that of public goods. We know that the provision of some public goods such as lighthouse can be solved through the market rather effectively. What makes environmental goods such as clean air different from lighthouse? Why is it more difficult to solve the provision of clear air through the market? （Please state your opinion and explain why)

In your own words, what is consideration? Provide an example (real life or hypothetical, but not a published online case) of adequate consideration OR lack of consideration. Explain the circumstances surrounding your example - e.g. what did each person say, etc. Then explain how the facts you detail constitute adequate consideration or lack of consideration.

For example:

My two year-old is precariously holding his Winnie the Pooh cup (with no lid) filled with milk. He's standing on the carpet with that look in his eye (parents, you know THE LOOK) as if to say, if you don't do what I want RIGHT NOW, I'm going to dump this entire cup of milk on the carpet. I quickly say "I promise to feed you, clothe you, and pay for your boxes & boxes of diapers (since no, you aren't potty trained yet), if you please refrain from pouring your Winnie the Pooh cup of milk on the carpet."

This is an example of a lack of consideration. I have a preexisting legal duty (p.215) to feed, clothe, and pay for all of those diapers for my 2 year-old, thus, there was no legally sufficient value given. Also, although I felt like I was 'bargaining' with my 2 year-old, per the objective theory of contracts, there was no actual 'bargained-for exchange.' (This is all besides the fact that a 2 year-old cannot be a contracting party.). Consequently, there was a lack of consideration in my hypothetical & he poured the milk on the carpet anyway …

discuss one of the services Windows offers. Give a quick description of the service, how to configure and enable it, whether the system uses it all the time, or just when you turn it on, and what your opinion is of the service. Does it do everything it needs to do for the user? What about ease of use?

Your uncle has always owned several companies and has been very successful despite not studying Finance in university. He has heard about several finance methods to evaluate whether to take on a project or not.

1. Explain to him what the three basic decisions that a financial manager must make when overseeing a company.
2. (1 mark) Explain to him what the ultimate objective of a financial manager is.
3. Explain to him what characteristics the best methods have to determine whether or not to take on a project.
4. Provide an evaluation of four methods against the criteria you provided in part (c )
5. He has heard that IRR is a good method, but has one issue. Identify and explain the issue to him.