Is there a significant difference in Highway MPG between cars weighing greater than 1.5 tons and cars weighing less than 1.5 tons? Using inferential statistics, determine whether we accept or reject the null hypothesis by showing: hypothesis, critical value, formulas, test statistics, decision/conclusions. Here is the dataset:
| HighwayMPG (for cars less than 1.5 tons) | Highway MPG (for cars greater than 1.5tons) |
| 25 | 20 |
| 34 | 20 |
| 31 | 21 |
| 46 | 21 |
| 36 | 22 |
| 33 | 22 |
| 29 | 23 |
| 50 | 23 |
| 30 | 23 |
| 43 | 23 |
| 37 | 24 |
| 32 | 24 |
| 25 | 24 |
| 33 | 24 |
| 37 | 25 |
| 26 | 25 |
| 41 | 25 |
| 30 | 25 |
| 33 | 25 |
| 31 | 26 |
| 31 | 26 |
| 34 | 26 |
| 36 | 26 |
| 29 | 26 |
| 33 | 26 |
| 30 | 26 |
| 28 | 26 |
| 31 | 26 |
| 26 | 27 |
| 31 | 27 |
| 38 | 27 |
| 37 | 28 |
| 30 | 28 |
| 33 | 28 |
| 29 | 28 |
| 34 | 28 |
| 33 | 28 |
| 27 | 28 |
| 30 | 28 |
| 27 | 28 |
| 29 | 29 |
| 36 | 29 |
| 33 | 30 |
| 27 | 30 |
| 31 | 30 |
| 30 | |
| 31 |
In: Statistics and Probability
The length of a species of fish is to be represented as a function of the age (measured in days) and water temperature (degrees Celsius). The fish are kept in tanks at 25, 27, 29 and 31 degrees Celsius. After birth, a test specimen is chosen at random every 14 days and its length measured.
|
Age |
Temp |
Length |
|
|
1 |
14 |
25 |
620 |
|
2 |
28 |
25 |
1,315 |
|
3 |
41 |
25 |
2,120 |
|
4 |
55 |
25 |
2,600 |
|
5 |
69 |
25 |
3,110 |
|
6 |
83 |
25 |
3,535 |
|
7 |
97 |
25 |
3,935 |
|
8 |
111 |
25 |
4,465 |
|
9 |
125 |
25 |
4,530 |
|
10 |
139 |
25 |
4,570 |
|
11 |
153 |
25 |
4,600 |
|
12 |
14 |
27 |
625 |
|
13 |
28 |
27 |
1,215 |
|
14 |
41 |
27 |
2,110 |
|
15 |
55 |
27 |
2,805 |
|
16 |
69 |
27 |
3,255 |
|
17 |
83 |
27 |
4,015 |
|
18 |
97 |
27 |
4,315 |
|
19 |
111 |
27 |
4,495 |
|
20 |
125 |
27 |
4,535 |
|
21 |
139 |
27 |
4,600 |
|
22 |
153 |
27 |
4,600 |
|
23 |
14 |
29 |
590 |
|
24 |
28 |
29 |
1,305 |
|
25 |
41 |
29 |
2,140 |
|
26 |
55 |
29 |
2,890 |
|
27 |
69 |
29 |
3,920 |
|
28 |
83 |
29 |
3,920 |
|
29 |
97 |
29 |
4,515 |
|
30 |
111 |
29 |
4,520 |
|
31 |
125 |
29 |
4,525 |
|
32 |
139 |
29 |
4,565 |
|
33 |
153 |
29 |
4,566 |
|
34 |
14 |
31 |
590 |
|
35 |
28 |
31 |
1,205 |
|
36 |
41 |
31 |
1,915 |
|
37 |
55 |
31 |
2,140 |
|
38 |
69 |
31 |
2,710 |
|
39 |
83 |
31 |
3,020 |
|
40 |
97 |
31 |
3,030 |
|
41 |
111 |
31 |
3,040 |
|
42 |
125 |
31 |
3,180 |
|
43 |
139 |
31 |
3,257 |
|
44 |
153 |
31 |
3,214 |
|
A. Is there evidence of collinearity between the independent variables?
B. What proportion of the variation in the response variable is explained by the regression?
C. The F statistic indicates that:
D. The t-test of significance indicates that:
E. The t-test of significance indicates that (same question but choose the correct answer):
F. Assuming you ran the regression correctly, plot the residuals (against Y-hat). The plot shows that:
G. REGRESSION. Which of the following types of transformation may be appropriate given the shape of the residual plot?
G. REGRESSION. This type of dataset is best described as a ____ and a residual problem common with this type of data is ___
|
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In: Statistics and Probability
An employee's total earnings through November 14, 2006 were $6,800.
He/she earned $1,450 for the current period (Nov 15-Nov 30) and has 16% federal income tax withheld.
FICA-Social Security (6.2%)
FICA-Medicare (1.45%)
FUTA (6.2% of the first $7,000 pay)
SUTA (5.4% of the first $7,000 pay) are the rates for the current period.
For the current period prepare General Journal entries for the employer payroll taxes accrued and the associated payroll tax expense
In: Accounting
Find the average annual growth rate of the dividends for each firm listed in the following table.
Dividend Payment per Year
Firm 2006 2007 2008 2009 2010 2011
Loewen $1.03 $1.05 $1.10 $1.20 $1.27 $1.40
Morse $1.12 $0.95 $0.80 $1.30 $1.20 $1.45
Huddleston $1.00 $2.00 $3.50 $3.90 $4.00 $4.50
Meyer $2.25 $2.00 $2.10 $2.74 $2.85 $2.90
What is the average annual growth rate of the dividends paid by Loewen?
In: Finance
Write a C++ program that involves implementing the RSA cryptosystem. In practice for the encryption to be secure and to handle larger messages you would need to utilize a class for large integers. However, for this assignment you can use built-in types to store integers, e.g., unsigned long long int. Also, rather than using the ASCII table for this assignment use BEARCATII, which restricts the characters to the blank character and the lower-case letters of the alphabet as follows: blank character is assigned the value 0. A, …, Z are assigned the values 1, …, 26, respectively. The message M will be represented by replacing each character in the message with its assigned integer base 27. For example, the message M = “TEST” will be represented as N = 20 5 19 20 Translating this to decimal we obtain: D = 20 + 19*27 + 5*272 + 20*273 = 397838 Note that to convert back to base 27, we simply apply the algorithm we discussed in class, i.e., the least significant digit (rightmost) is obtained by performing the operations D mod 27 and performing a recursive call with D/27. For the example above we obtain, 397838 / 27, 397838 mod 27 = 14734, 20 → 14734 / 27, 14734 mod 27, 20 = 545, 19, 20 → 545/27, 545 mod 20, 19, 20 = 20, 5, 19, 20 = N Find primes p and q by choosing positive integers at random and testing for primality using Miller-Rabin probabilistic algorithm. Your program should prompt the user to input a positive integer representing the public key e. If the user enters a number that is not relatively prime to n = pq, then have the user reenter and keep doing this until e and n are coprime, i.e., gcd(e,φ(n)) = 1. Also prompt the user to enter the message M (as a character string). For handing purposes, run your program with M = “TEST”. Output p, q, n, M, C, P where C is the encrypted message, i.e., cyber text, and P is the decrypted message, i.e., plaintext. If your program is working correctly then M should be equal to P.
In: Computer Science
Wiset Company completes these transactions during April of the
current year (the terms of all its credit sales are 2/10,
n/30).
| Apr. | 2 | Purchased $14,600 of merchandise on credit from Noth Company, invoice dated April 2, terms 2/10, n/60. | ||
| 3 | Sold merchandise on credit to Page Alistair, Invoice No. 760, for $4,700 (cost is $2,500). | |||
| 3 | Purchased $1,440 of office supplies on credit from Custer, Inc. Invoice dated April 2, terms n/10 EOM. | |||
| 4 | Issued Check No. 587 to World View for advertising expense, $934. | |||
| 5 | Sold merchandise on credit to Paula Kohr, Invoice No. 761, for $9,100 (cost is $6,100). | |||
| 6 | Received an $95 credit memorandum from Custer, Inc., for the return of some of the office supplies received on April 3. | |||
| 9 | Purchased $11,240 of store equipment on credit from Hal’s Supply, invoice dated April 9, terms n/10 EOM. | |||
| 11 | Sold merchandise on credit to Nic Nelson, Invoice No. 762, for $12,700 (cost is $6,700). | |||
| 12 | Issued Check No. 588 to Noth Company in payment of its April 2 invoice less the discount. | |||
| 13 | Received payment from Page Alistair for the April 3 sale less the discount. | |||
| 13 | Sold $9,500 of merchandise on credit to Page Alistair (cost is $4,100), Invoice No. 763. | |||
| 14 | Received payment from Paula Kohr for the April 5 sale less the discount. | |||
| 16 | Issued Check No. 589, payable to Payroll, in payment of sales salaries expense for the first half of the month, $10,550. Cashed the check and paid employees. | |||
| 16 | Cash sales for the first half of the month are $55,380 (cost is $42,900). (Cash sales are recorded daily from cash register data but are recorded only twice in this problem to reduce repetitive entries.) | |||
| 17 | Purchased $11,500 of merchandise on credit from Grant Company, invoice dated April 17, terms 2/10, n/30. | |||
| 18 | Borrowed $61,000 cash from First State Bank by signing a long-term note payable. | |||
| 20 | Received payment from Nic Nelson for the April 11 sale less the discount. | |||
| 20 | Purchased $890 of store supplies on credit from Hal’s Supply, invoice dated April 19, terms n/10 EOM. | |||
| 23 | Received a $1,000 credit memorandum from Grant Company for the return of defective merchandise received on April 17. | |||
| 23 | Received payment from Page Alistair for the April 13 sale less the discount. | |||
| 25 | Purchased $11,865 of merchandise on credit from Noth Company, invoice dated April 24, terms 2/10, n/60. | |||
| 26 | Issued Check No. 590 to Grant Company in payment of its April 17 invoice less the return and the discount. | |||
| 27 | Sold $3,360 of merchandise on credit to Paula Kohr, Invoice No. 764 (cost is $2,430). | |||
| 27 | Sold $6,500 of merchandise on credit to Nic Nelson, Invoice No. 765 (cost is $4,240). | |||
| 30 | Issued Check No. 591, payable to Payroll, in payment of the sales salaries expense for the last half of the month, $10,550. | |||
| 30 | Cash sales for the last half of the month are $76,200 (cost is $67,200). |
Assume that Wiset Co. uses the perpetual inventory system.
Required:
1-a. Review the April transactions of Wiset
Company and enter those transactions that should be journalized in
the purchases journal.
1-b. Review the April transactions of Wiset
Company and enter those transactions that should be journalized in
the cash disbursements journal.
1-c. Prepare a general journal. Review the April
transactions of Wiset Company and enter those transactions that
should be journalized in the general journal.
2 & 3. Enter the March 31 balances of Cash
($96,000), Inventory ($137,000), Long-Term Notes Payable
($133,000), and B. Wiset, Capital ($100,000). Post the total
amounts from the journal in the following general ledger accounts
and in the accounts payable subsidiary ledger accounts for Hal’s
Supply, Noth Company, Grant Company and Custer, Inc.
4-a. Prepare a trial balance.
4-b. Prepare a schedule of accounts payable.
need help on all of them
In: Accounting
Wiset Company completes these transactions during April of the
current year (the terms of all its credit sales are 2/10,
n/30).
| Apr. | 2 | Purchased $16,000 of merchandise on credit from Noth Company, invoice dated April 2, terms 2/10, n/60. | ||
| 3 | Sold merchandise on credit to Page Alistair, Invoice No. 760, for $5,900 (cost is $3,400). | |||
| 3 | Purchased $1,500 of office supplies on credit from Custer, Inc. Invoice dated April 2, terms n/10 EOM. | |||
| 4 | Issued Check No. 587 to World View for advertising expense, $879. | |||
| 5 | Sold merchandise on credit to Paula Kohr, Invoice No. 761, for $9,200 (cost is $7,500). | |||
| 6 | Received an $80 credit memorandum from Custer, Inc., for the return of some of the office supplies received on April 3. | |||
| 9 | Purchased $12,095 of store equipment on credit from Hal’s Supply, invoice dated April 9, terms n/10 EOM. | |||
| 11 | Sold merchandise on credit to Nic Nelson, Invoice No. 762, for $11,400 (cost is $7,300). | |||
| 12 | Issued Check No. 588 to Noth Company in payment of its April 2 invoice less the discount. | |||
| 13 | Received payment from Page Alistair for the April 3 sale less the discount. | |||
| 13 | Sold $7,000 of merchandise on credit to Page Alistair (cost is $4,500), Invoice No. 763. | |||
| 14 | Received payment from Paula Kohr for the April 5 sale less the discount. | |||
| 16 | Issued Check No. 589, payable to Payroll, in payment of sales salaries expense for the first half of the month, $11,400. Cashed the check and paid employees. | |||
| 16 | Cash sales for the first half of the month are $54,570 (cost is $44,500). (Cash sales are recorded daily from cash register data but are recorded only twice in this problem to reduce repetitive entries.) | |||
| 17 | Purchased $11,900 of merchandise on credit from Grant Company, invoice dated April 17, terms 2/10, n/30. | |||
| 18 | Borrowed $73,000 cash from First State Bank by signing a long-term note payable. | |||
| 20 | Received payment from Nic Nelson for the April 11 sale less the discount. | |||
| 20 | Purchased $820 of store supplies on credit from Hal’s Supply, invoice dated April 19, terms n/10 EOM. | |||
| 23 | Received a $1,100 credit memorandum from Grant Company for the return of defective merchandise received on April 17. | |||
| 23 | Received payment from Page Alistair for the April 13 sale less the discount. | |||
| 25 | Purchased $11,195 of merchandise on credit from Noth Company, invoice dated April 24, terms 2/10, n/60. | |||
| 26 | Issued Check No. 590 to Grant Company in payment of its April 17 invoice less the return and the discount. | |||
| 27 | Sold $3,410 of merchandise on credit to Paula Kohr, Invoice No. 764 (cost is $2,700). | |||
| 27 | Sold $6,100 of merchandise on credit to Nic Nelson, Invoice No. 765 (cost is $5,450). | |||
| 30 | Issued Check No. 591, payable to Payroll, in payment of the sales salaries expense for the last half of the month, $11,400. | |||
| 30 | Cash sales for the last half of the month are $75,200 (cost is $65,500). |
Assume that Wiset Co. uses the perpetual inventory system.
Required:
1-a. Review the April transactions of Wiset
Company and enter those transactions that should be journalized in
the purchases journal.
1-b. Review the April transactions of Wiset
Company and enter those transactions that should be journalized in
the cash disbursements journal.
1-c. Prepare a general journal. Review the April
transactions of Wiset Company and enter those transactions that
should be journalized in the general journal.
2 & 3. Enter the March 31 balances of Cash
($98,000), Inventory ($138,000), Long-Term Notes Payable
($136,000), and B. Wiset, Capital ($100,000). Post the total
amounts from the journal in the following general ledger accounts
and in the accounts payable subsidiary ledger accounts for Hal’s
Supply, Noth Company, Grant Company and Custer, Inc.
4-a. Prepare a trial balance.
4-b. Prepare a schedule of accounts
payable.
In: Accounting
In: Statistics and Probability
For the data in Question 3 of Chapter 18, calculate 6sigma^, Cp, and Cpk. Interpret the indices. The specification limits are 50 ± 0.5.
Chapter 18 data:
| Subgroup | X Bar | Range |
| 1 |
50.3 |
.73 |
| 2 | 49.6 | .75 |
| 3 | 50.8 | .79 |
| 4 | 50.9 | .74 |
| 5 | 49.8 | .72 |
| 6 | 50.5 | .73 |
| 7 | 50.2 | .71 |
| 8 | 49.9 | .70 |
| 9 | 50.0 | .65 |
| 10 | 50.1 | .67 |
| 11 | 50.2 | .65 |
| 12 | 50.5 | .67 |
| 13 | 50.4 | .68 |
| 14 | 50.8 | .70 |
| 15 | 50.0 | .65 |
| 16 | 49.9 | .66 |
| 17 | 50.4 | .67 |
| 18 | 50.5 | .68 |
| 19 | 50.7 | .70 |
| 20 | 50.2 | .65 |
| 21 | 49.9 | .60 |
| 22 | 50.1 | .64 |
| 23 | 49.5 | .60 |
| 24 | 50.0 | .62 |
| 25 | 50.3 | .60 |
In: Statistics and Probability
6. Consider the following data of the number of hours 12 students spent online during the weekend and the scores of each student who took a test the followingMonday.
|
Hrs spent online(x) |
0 |
1 |
2 |
3 |
3 |
5 |
5 |
5 |
6 |
7 |
7 |
10 |
|
Test scores(y) |
96 |
85 |
82 |
74 |
95 |
68 |
76 |
84 |
58 |
65 |
75 |
50 |
a. Find the sample linear correlation coefficient and interpret it.
b. Is the population correlation coefficient significant? [ use α= 0.05]
c. Find the equation of the regression line. What is the slope of the line? Interpret
this value in the context?
What is the coefficient of determination? Interpret the result?
If ? is 3.5 hours, what would you expect ? to be?
If ? is 5 hours, what would you expect ? to be?
g. If ? is 20 hours, what would you expect ? to be?
In: Statistics and Probability