The following two samples were collected as matched pairs. Complete parts​ (a) through​ (d) below. Pair 1 2 3 4 5 6 7 Sample 1 6 6 10 4 6 7 8 Sample 2 5 5 4 5 4 5 5 a. State the null and alternative hypotheses to test if a difference in means exists between the populations represented by Samples 1 and 2. Let mud be the population mean of​ matched-pair differences for Sample 1 minus Sample 2. Choose the correct answer below. A. Upper H 0​: mudnot equals0 Upper H 1​: mudequals0 B. Upper H 0​: mudgreater than or equals0 Upper H 1​: mudless than0 C. Upper H 0​: mudless than or equals0 Upper H 1​: mudgreater than0 D. Upper H 0​: mudequals0 Upper H 1​: mudnot equals0 Your answer is correct. b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using alpha equals 0.10. The test statistic is nothing. ​(Round to two decimal places as​ needed.)

4. Determine the number of integer solutions of x1 + x2 + x3 + x4 = 17, where

a. xi ≥ 0, 1 ≤ i ≤ 4

b. x1, x2 ≥ 3 and x3, x4 ≥ 1

c. xi ≥ -2, 1 ≤ i ≤ 4

d. x1 , x2 , x3 > 0 and 0 < x4 ≤ 10

During the past 10 years, the percent returns on two mutual funds (aggressive and passive) expressed in percentages were as follows:

Note that this is a sample of returns.

a) Compute the expected return for the two funds. Round your answers to two decimal places.

Aggressive =  

Passive =  

b) Compute the variance and standard deviation of the returns of the two funds. Round your answers to two decimal places.

Variance:

Aggressive =  

Passive =  

Standard Deviation:

Aggressive =  %

Passive =  %

a. Assuming that the expectations hypothesis is valid, compute the price of the four-year bond shown below at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Exercise 14.1

The number of movies attended in the preceding three months are given below for 30 people. Calculate the mean, the median, the mode, and the range. Show your work. Interpret each statistic.

0 15 26 8 2

3 11 13 0 3

0 1 17 1 9

7 4 18 12 10

   10 4 2 7 2

2 5 9 6 6

1. Calculate the mean and interpret the results.

2. Calculate the median and interpret the results.

3. Calculate the mode and interpret the results.

4. Compare the three measures of central tendency you have calculated in terms of the information provided.

5. Calculate the range and interpret the results.

In Major League Baseball, the American League (AL) allows a designated hitter (DH) to bat in place of the pitcher, but in the National League (NL), the pitcher has to bat. However, when an AL team is the visiting team for a game against an NL team, the AL team must abide by the home team’s rules, and thus, the pitcher must bat. A researcher is curious if an AL team would score more runs for games in which the DH was used. She samples 20 games for an AL team for which the DH was used, and 20 games for which there was no DH. The data are below. The population standard deviation for runs scored is known to be 2.54 for both groups. Assume the populations are normally distributed.

Is there evidence to suggest that more runs are scored in games for which the DH is used? Use α=0.10.

Enter the test statistic - round to 4 decimal places.

z =   

Exercise 3: Stack
Write a program in Java to manipulate a Stack List:

1. Create Stack List
2. Display the list
3. Create the function isEmply
4. Count the number of nodes
5. Insert a new node in the Stack List.
6. Delete the node in the Stack List.
7. Call all methods above in main method with the following data:

Test Data :
Input the number of nodes : 4
Input data for node 1 : 5
Input data for node 2 : 6
Input data for node 3 : 7

Input data for node 4 : 9

Exercise 4: Queue
Write a program in Java to manipulate a Stack List:

1. Create Queue List
2. Display the list
3. Count the number of nodes
4. Insert a new node in the Stack List.
5. Delete the node in the Stack List.
6. Call all methods above in main method with the following data:

Test Data :
Input the number of nodes : 4
Input data for node 1 : 5
Input data for node 2 : 6
Input data for node 3 : 7

Input data for node 4 : 9

Four metal spheres, each 1cm in diameter are arranged on an X-Y coordinate plane as follows:

Sphere 1 has a charge of +2 millicoulombs and is situated at coordinate (0,0)

Sphere 2 has a charge of +3 millicoulombs and is situated at coordinate (0.-4 cm)

Sphere 3 has a charge of -4 millicoulombs and is situated at coordinate (-3 cm,0)

Find the resultant force in Newtons on a fourth sphere with a charge of +1 millicoulomb situated at coordinate (4 cm, 4 cm).

Determine which of the following sets of vectors form a basis for R 3 . S = {(1, 0, −1),(2, 5, 1),(0, −4, 3)}, T = {(−1, 3, 2),(3, −1, −3),(1, 5, 1)}.

Which are functions of the signal recognition particle (SRP)?

1. to pause protein synthesis as the signal sequence emerges from the peptidyl exit tunnel
2. to deliver the nascent polypeptide to the SRP receptor on the endoplasmic reticulum
3. to dissociate the nascent polypeptide from the ribosome
4. to resume protein synthesis after docking to the SRP receptor
5. to cleave the signal sequence from nascent polypeptides
6. to translocate the nascent polypeptide into the lumen of the endoplasmic reticulum

Which are functions of the signal recognition particle (SRP)?

1. to pause protein synthesis as the signal sequence emerges from the peptidyl exit tunnel
2. to deliver the nascent polypeptide to the SRP receptor on the endoplasmic reticulum
3. to dissociate the nascent polypeptide from the ribosome
4. to resume protein synthesis after docking to the SRP receptor
5. to cleave the signal sequence from nascent polypeptides
6. to translocate the nascent polypeptide into the lumen of the endoplasmic reticulum

Choose best answer

- 1, 2, 6

- 1, 2, 3, 4

- 2, 4, 6

- 1, 2, 4

- 1, 2, 4, 5