Answer:
Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.
Step-by-step explanation:
Fraud Firearm
15.2 9.2 20.1 15.7
11.2 15.8 20.4 9.8
7.2 5.2 13.1 13.5
7.7 4.9 20.7 23.1
7.4 9.8 10.4 22.2
∑ 93.6 169
Fraud (X1i)² Firearm(X2j)²
231.04 84.64 404.01 246.49
125.44 249.64 416.16 96.04
51.84 27.04 171.61 182.25
59.29 24.01 428.49 533.61
54.76 96.04 108.16 492.84
∑1003.79 3079.66
We formulate the null and alternative hypothesis as
H0: μ1 - μ2 ≤ 0 i.e. the fraud meantime is less than that for firearms offenses.
Ha: μ1- μ2 > 0 i.e. the fraud meantime is greater than that for firearms offenses.
We set the significance level at ∝= 0.01
The test statistic, if H0 is true , is
t= x1`1- x`2/ Sp√1/n1+ 1/n2
which has a student t- distribution with ν= n1+ n2 -2 = 18 degrees of freedom
The critical region consists of all t- values which are greater than or equal to t> t(0.01)(18)= 2.522
Computations :
X1`= ∑X1i/n1 = 93.6/10= 9.36
X2`=∑X2j/n2=169/10 = 16.9
∑( X1i- x`1)² = ∑X1i²- (∑X1i)²/n1
= 1003.79 - 876.096/10
= 100.379- 87.6096
=12.7694
∑( X2j- x`2)² = ∑X2j²- (∑X2j)²/n2
= 3079.66 - 28561/10
= 3079.66- 2856.1
=223.56
Sp²= 12.7694+223.56/18= 13.129
Sp = √13.129 =3.623
t= 9.36-16.9/ 3.623√0.1+0.1
t= -7.54/ 1.62
t= -4.654
Conclusion: Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.
The meantime served for fraud is less than that for firearms offenses.
If I start with 2 and count by 8s until I reach 82, I will get: 2, 10, 18, 26, 82, ... , where 2 is the first number, 10 is the second number and so fourth. If 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
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After one week of meals, the bottle of ketchup contains 25% of its original amount. How many ounces are in the bottle after one week?
Answer:
25/7 I think not sure though
Chuck-A-Luck: To win any money, at least two of your dice must show the same number. What's the likelihood of winning anything after one roll?
Answer:
0.2778
Step-by-step explanation:
Each sides in a fair die has a probability of = 1/6
The probability of getting the same number on both dice is 6 from 36 outcomes, that is;
= 6/36 = 1/6
the probability of get same number on both dice after one roll = 1/6
therefore = 1/6 x 1/6 = 1/36 = 0.2778
A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.
Answer:
0.477%
6.55%
5.05%
Event in question (a)
Step-by-step explanation:
Given that:
p = 0.67 ; n = 80
Using Normal approximation :
Mean (m) = np = 80 * 0.67 = 53.6
Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057
probability that the number who oppose raising the age is
(a) at least 65
65 - 0.5 = 64.5 = x
Z = (x - m) / s
Z = (64.5 - 53.6) / 4.2057 = 2.592
P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)
(b) exactly 50
x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5
Z = (50.5 - 53.6) / 4.2057 = - 0.737
Z = (49.5 - 53.6) / 4.2057 = - 0.974
P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)
0.23056 - 0.16503 = 0.06553
(c) more than 60, and (d) identify any unusual events
x = 60 + 0.5 = 60.5
Z = (60.5 - 53.6) / 4.2057 = 1.64
P(Z > 1.64) = 0.0505
D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%
************************
Answer: I think i my be wrong but i thing its B
Step-by-step explanation:
Find the unknown (?) to make the fractions equivalent. The ? Is equal to :
-3
-5
-1
-7
Answer:
C: 1
Step-by-step explanation:
14/35 simplified is 2/5. This means 2/5 is equivalent to 14/35. Therefore we have to multiply 2/5 by 1 which is option C.
Write an inequality. Marianda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?
14 x 12= 168. (she already filled 3 cartons. so, 17-3 =14.) she needs 168 eggs to fill the other 14 cartons.
Baden Company manufactures a product with a unit variable cost of $50 and a unit sales price of $88. Fixed manufacturing costs were $240,000 when 10,000 units were produced and sold. The company has a one-time opportunity to sell an additional 2,000 units at $65 each in a foreign market which would not affect its present sales. If the company has sufficient capacity to produce the additional units, acceptance of the special order would affect net income as follows.
a. Income would decrease by $20,000.
b. Income would increase by $20,000.
c. Income would increase by $140,000.
d. Income would increase by $40,000.
Answer:
I would say C because i got 130,000
Step-by-step explanation:
Unit Variable Cost is $50
Unit Sales Price is $88
Fixed Costs $240 000 (10 000 units)
Opportunity 2000 units at $65
Total Sales = $130,000
Toni can carry up to 16 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 3 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?
Answer:
4 Books
Step-by-step explanation:
3+1 = 4
16 - 4 = 12
3x4 = 12
help me pls
The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?
Ans
b-18 s-42
Step-by-step explanation:
Solve 2(x + 1) = 2x + 5.
All real numbers
No solution
0
3
Final Answer: No Solution
Steps/Reasons/Explanation:
Question: Solve [tex]2(x + 1) = 2x + 5[/tex].
Step 1: Expand.
[tex]2x + 2 = 2x + 5[/tex]
Step 2: Cancel [tex]2x[/tex] on both sides.
[tex]2 = 5[/tex]
Step 3: Since [tex]2 = 5[/tex] is false, there would be no solution.
No Solution
~I hope I helped you :)~
Answer:
No Solution
Step-by-step explanation:
1) Parenthesis
Here, you cannot add x and 1, so you must distribute the 2 into the parenthesis.
(2x+2) = 2x +5
2) Isolate the variable.
To do this, you must subtract 2x from both sides of the equation
2x - 2x + 2 = 2x - 2x + 5
2 = 5
Clearly, this is a false statement, seeing at 2 can never equal 5, the answer is no solution
help!!!!!please!!!!!!!
4x = 64 + 200
what is x
x=66
Step-by-step explanation:
4x = 200 + 64 > 4x = 264 > x= 66
Answer:
x=66
Step-by-step explanation:
Steps
4x=64+200
4x=264
x=66
Find the slope of the line graphed below.
Answer:
-3/2 I believe is the answer,
Step-by-step explanation:
Notice that the (left to right) line is going down, indicating it is negative.
Now do rise over run. Rise Is up and down, so 3, and run is left and right so 2, -3/2 is your answer, Correct me if I am wrong
can someone please answer as soon as possible
Answer:
A) {-1,2,8}
Step-by-step explanation:
fill in all domain values in f(x) and you get:
f(-1) = -1
f(0) = 2
f(2) = 8
The set of results is the range.
Please help as fast as you can
When f(n) = 34, what is the value of f(n-6)?
Answer:
28
Step-by-step explanation:
f(n)=34, f(n-6)=34-6
=28
The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax was added.
Answer:
the price before taxes was $18,229.13
Step-by-step explanation:
PLEASE HELPPP THIS IS SUE IN 5 MINUTESSS! I WILL MARK YOU AS BRAINLIEST!!!!!
The expression 12 dollars t can be used to find the total cost for t tickets to the movie theater. Choose the correct number expression to represent 12 dollars times t.
A) 12+t
B) 12-t
C) 12/t
D) 12*t
Answer:
D) 12*t
Step-by-step explanation:
It askes for the correct number expression to represent 12 dollars times t
and * means times so this expression 12*t literally means 12 dollars times t
so D) is your answer or D) 12*t
good luck with ur assignment or test! hope u aced it.
Refer to - KLMN •
3r
M
2y
3 cm
ס
60°
K
N
x + 4 cm
What is the length of LM in cm?
Answer:
[tex]LM = 6cm[/tex]
Step-by-step explanation:
[tex]LM = KN[/tex]
[tex]3x =x + 4[/tex]
[tex]3x - x = 4[/tex]
[tex]2x = 4[/tex]
[tex] \frac{2x}{2} = \frac{4}{2} [/tex]
[tex]x = 2[/tex]
then
[tex]LM = 3x[/tex]
[tex]LM =3 \times 2[/tex]
[tex]LM = 6cm[/tex]
If x and y are 2 complementary angles then find the value of y if measure of angle x is 20 degree
plz help me I am marking branliest to the correct answer
Answer:
y=70 degrees
Step-by-step explanation:
If 2 angles are complimentary, they add up to 90 degrees.
x+y=90 degrees
x=20 degrees
y=90-20 degrees
y=70 degrees
If that is wrong, try this. Let's say the questions gives us the fact that x is 20 degrees greater than y.
y=x
Substituting x for y, the equation is x+x+20=90
Since y is x, x would also be y, which is 35. then x+20 would be 55.
So y would be 35.
THE ANSWER WOULD BE 70 DEGREES, BUT IF THAT IS WRONG, DO THE SECOND ONE, WHICH IS 35
The table represents a function.
Answer:
4
Step-by-step explanation:
Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?
There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.
Part A: Set up a system of equations.
Solve the system of equations algebraically. SHOW ALL WORK!
How many adults attended? How many children attended?
(i need it asap pleaseeeee)
The value of x, rounded to the nearest tenth is...
Answer:
67
Step-by-step explanation:
Which describes the missing number plotted on the number line?
A. the opposite of -4
B. the opposite of 4
C. the absolute value of -4
D. the absolute value of 4
(Numerical problems) A car is running with the velocity of 72km/h. What will be it's velocity after 5s if it's acceleration is -2m/s square
Step-by-step explanation:
72km/h = 72,000m/3,600s = 20m/s.
Using Kinematics, we have
v = u + at
= (20m/s) + (-2m/s²)(5s)
= 10m/s.
Hence the velocity will be 10m/s. (or 36km/h)
the students Bend 1/8 of an hour each evening reading a book about biplanes if it took the student 10 evening to finish the book how many hours in all did the students spend reading
Answer:
C. 3¾
Step-by-step explanation:
Number of hours spent per evening reading the book = ⅜ hr
Number of evenings it took to complete reading the book = 10
Total number of hours spent in reading = ⅜ × 10 = 30/8
Simplify
= 15/4
= 3¾ hours
Help stat brainlist Please and thank you
Marla sold 12 baseball caps for a total of $39, including tax. The equation. 12c=39 can be used to find c, the cost of one cap. What is the value of c
Answer:
$3.25
Step-by-step explanation:
12c = 39
12/12 =0
39/12 = 3.25
c = 3.25