Please solve and explain

15-3     The market and Stock S have the following probability distributions:

1. Calculate the expected rates of return for the market and Stock S.
2. Calculate the standard deviations for the market and Stock S.
3. Calculate the coefficients of variation for the market and Stock S.

You are a frequent flyer and you have been wondering whether the number of flights delayed is influenced by how busy the airport is that you are flying into. You have collected data for the number of delayed flights and the total number of flights on the airport at your hometown on 20 consecutive days and the data are presented below:

Use the data above, answer the following questions.

3. Predict the number of flight delayed if total flights is 485.

4. What is the value of the t test statistic when testing whether the number of flights delayed is influenced by the total number of flight?

5. What is the p-value of the t test statistic when testing whether the number of flight delayed is influenced by the total number of flight?

6. G. True or False: The null hypothesis for testing whether the number of flights delayed is influenced by the total number of flight cannot be rejected if a 5% probability of committing a type I error is desired. Explain WHY.

10. Should the Durbin-Watson statistic be calculated? Explain.

12. Construct a 95 confidence interval for the mean number of flights delayed when the total number of flights is 500. Interpret the confidence interval.

13. Construct a 95% prediction interval for the number of flights delayed when the total number of flights is 500. Interpret the prediction interval.

You are the quality control manager of a water bottles company. One of the biggest complaints in the past years has been the breakage and, hence, the concern on the durability of the connector between the lid and the bottle which many users use as a handle for the bottles. To collect evidence before implementing any modification to the production process, your department has subjected 50 water bottles to a durability test and the following data on the number of times the handles have been used to lift the bottles before they break.

1495 1499 1502 1500 1491    1498    1498    1495 1488 1516

1513 1486 1504 1503 1493    1504    1489    1500 1495 1499

1501 1507 1511 1496 1486    1497    1510    1504 1493 1482

1511 1502 1520 1514 1486    1514    1500    1505 1512 1500

1504 1498 1503 1514 1474    1489    1488    1506 1517 1490

Assume that the number of times the handles have been used to lift the bottles before they break follows a normal distribution. You want to test to see if there is enough evidence that the mean number of times the handles have been used to lift the bottles before they break is more than 1500.

a). What are the appropriate hypotheses?

b) What is the critical value for a test with a level of significance of 0.01?  

c) What is the value of the test statistic?

d) What is the p-value of the test?

e) True or False: the null hypothesis will be rejected at 5% level of significance.

f) True or False: the null hypothesis will be rejected at 1% level of significance.

g) True or False: you can conclude that there is enough evidence that the mean number of times the handles have been used to lift the bottles before they break is more than 1500 when allowing for a 1% probability of committing a Type I error.

h) True or False: you can conclude that there is not enough evidence that the mean number of times the handles have been used to lift the bottles before they break is more than 1500 when allowing for a 1% probability of committing a Type I error.

Which of the following scenarios is likely to occur in a project?

OB/GYN physicians always face the highest malpractice insurance premium. Why? Does it just come from the higher risk of OB/GYN medical treatments or any additional factor? Please explain your answer with insights.

A) List three types of skin cancer. Describe the likely risk factors for each and the prognosis and treatment for each.

B) Which skin cancer has the highest mortality rate and why? How would you make the diagnose of this disease?

A cannonball at ground level is aimed 30 degrees above the horizontal and is fired with an initial speed of 125 m/s. A) how far away from the cannon will the cannonball hit the ground? B) What is the highest point of its trajectory?

 using javascript and without using javascript sort.
 Sort an array from lowest to highest

const x = [201,28,30,-5]

​function sort(array){

  // put your code here

  return //the answer

}

​

sort(x)

// output: [-5,28,30,201]