A manufacturer of colored candies states that 13​% of the candies in a bag should be​ brown, 14​% ​yellow, 13​% ​red,24​% blue20​%orange, and 16​%

green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at

alpha equalsα=0.05 level of significance. Using the level of significance

alpha equalsα=0.05, test whether the color distribution is the same.Click here to view the table.

Click here to view the table of critical values of the chi-square distribution

Determine the null and alternative hypotheses. Choose the correct answer below.

A.H0​:The distribution of colors is at least as uniform as stated by the manufacturer.

H1​:The distribution of colors is less uniform than stated by the manufacturer.

B.H0​:The distribution of colors is not the same as stated by the manufacturer.

H1​:The distribution of colors is the same as stated by the manufacturer.

C.H0​:The distribution of colors is the same as stated by the manufacturer.

H1​:The distribution of colors is not the same as stated by the manufacturer.

D.H0​:The distribution of colors is at most as uniform as stated by the manufacturer.

H1​:The distribution of colors is more uniform than stated by the manufacturer.

Compute the expected counts for each color.

What is the test​ statistic?

What is the range of​ P-values of the​ test?

The range of​ P-values of the test is

▼

between 0.01 and 0.025.

between 0.025 and 0.05.

less than 0.01.

between 0.05 and 0.10.

greater than 0.10.

Based on the​ results, do the colors follow the same distribution as stated in the​ problem?

A.Do not reject Upper H 0Do not reject H0.

There insufficient sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

B. Reject Upper H 0Reject H0. There is sufficient sufficientevidence that the distribution of colors is not the same as stated by the manufacturer.

C. Do not reject Upper H 0Do not reject H0.

There is not sufficient not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

D. Reject Upper H 0Reject H0.

There is not sufficientnot sufficient

evidence that the distribution of colors is not the same as stated by the manufacturer.

The prospectus of an investment fund states that all money is to be invested in bonds that are rated A, AA, and AAA. No more than 30% of the total investment is in A and AA bonds collectively, and at least 50% is in AA and AAA bonds collectively. The A, AA, and AAA bonds have annual yields of 8%, 7%, and 6% respectively. Determine (a) the percentages of the total investment that should be committed to each type of bond, so that the fund maximizes its annual yield, and (b) the annual yield. Provide your answers as percentages, rounded to 1 decimal point (e.g. 10.0%). Use the Excel linear programming template which has been provided, or create your own LP model in Excel. Note that in order to receive full marks, your solution must be provided in Excel, and must be solved using Excel’s Solver Add-in.

An animal can be in one of two states A or B. An individual in state A will change to state B at an exponential rate α=1； an individual in stat B divides into two new individuals of type A at rate β=2.

At the beginning time 0, there is one cell, and it is type A. Estimate the expected number of cells of each type at time 5 and time 10.

A manufacturer of colored candies states that 13​% of the candies in a bag should be​ brown, 14​% ​yellow, 13​% ​red, 24​% ​blue, 20​% ​orange, and 16​% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a=0.05 level of significance.

What is the P-value of the test? (round to three decimal places as needed)

The case states that the firm of Abernethy and Chapman is considering the acceptance of clients that are publicly traded. What specific steps would the firm have to take before they could accept an audit client that is publicly traded?

The textbook states that the cash budget is one of the most important parts of the master budget. There are several reasons listed as to why a cash budget is considered to be this important; I would like your thoughts as to why you consider the cash budget to be this important. How does the granting of credit to customers (and to your company from suppliers) affect your answer? What happens when you face a cash shortage? Is there something that can be "built in" the budget that considers such a situation and incorporates it into the master budget? What happens to the cash budget when you face an unforeseen emergency requiring cash?

There is a single line in Towards the End of Poverty that states, “Take a bow, capitalism.” Why should “capitalism” take a bow in your opinion? Please support your answer.

The Law of Demand states the relationship between the demand for a good and that good's price. Which of the following statements summarize this relationship?

Choose one or more: A. Demand curves for Giffen goods could be upward sloping or downward sloping. B. Demand curves for normal goods are always upward sloping. C. Demand curves for normal goods are always downward sloping. D. Demand curves for inferior goods could be upward sloping or downward sloping. E. Demand curves for Giffen goods are always downward sloping. F. Demand curves for normal goods could be upward sloping or downward sloping. G. Demand curves are upward sloping in all cases. H. Demand curves for Giffen goods are always upward sloping. I. Demand curves are downward sloping in all cases. J. Demand curves for inferior goods are always downward sloping.

(a) Efficient market hypothesis (EMH) states that the price of a security (such as a share) accurately reflects the information available. When information arrives, how fast will an information about a share be captured and reflected in the share price depends on the degree of competition among market investors. List and briefly explain, in your own words, two variations of information.

An article in the New York times states that there is a shocking new way to lose weight. A new wearable device called Pavlok claims it is successful in helping people lose weight. Here is how it works, whenever the wearer takes a bite of the foods they want to avoid, like chocolate or Cheez-Its, they use the Pavlok to give themselves a lightning-quick electric shock. “Every time I took a bite, I zapped myself,” one user said. “I did it five times on the first night, two times on the second night, and by the third day I didn’t have any cravings anymore.” As a psychology student you understand that the Pavlok is using the learning principles of classical conditioning to try to change behavior. Discuss the following: Identify the unconditioned stimulus, unconditioned response, neutral stimulus, conditioned stimulus, and conditioned response. Based on Pavlov's work what do you expect will happen when the user stops shocking themselves when they eat junk food? What is the term given to this in classical conditioning? Not everyone wants to shock themselves to try to lose weight. Using the principles of operant conditioning develop a behavior modification plan that will help this person change their eating behavior, without having to shock themselves. What would you suggest to get them to increase the amount of fruit and vegetables they eat? What would you suggest to help them decrease the amount of junk food they eat? Make sure you discuss postive and negative reinforcment. Make sure you discuss positive and negative punishment.