Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcherâs contention.
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation of Ï = $1600 may be assumed. What is the p-value?
c. At α = .05, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Answer and Step-by-step explanation:
Solution:
Develop hypothesis:
H₀ : µ ≥ 1056
H₁ < 1056
Given:
n = 400
ẋ = 910
∂ = 1600
a = 0.05
The sampling distribution of sample means µ and standard deviation ∂ / √n.
Z = ẋ-µ /∂ / √n.
= 910 – 1056 / 1600 /√400.
= - 1.83
Probability: p = p(z< -1.83) = 0.033
At a = 0.05
If p value is smaller than significance level a, then hypothesis is rejected.
P < 0.05 its means H0 rejected.
Hypothesis test using critical value:
The critical value corresponding to probability of 0.05:
Z = -1.645
The rejection region, then contains all values smaller than -1.645.
If value of test statistics is within the rejection region, then null hypothesis rejected.
-1.83 < -1.645
Rejected H
Help please and show work
Answer: i think that jacks volume would be 24 i think jills is 882 i believe but i may be wrong
Step-by-step explanation:
Solve the formula for the specified variable v=ypu for y
Step-by-step explanation:
[tex]v = ypu \\ v = y \times p \times u \\ dividing \: both \: sides \: by \: p \times u \\ we \: get \\ \frac{v}{p \times u} = \frac{y \times p \times u}{p \times u} \\ by \: simpliphying \\ \frac{v}{pu} = y \\ hence \\ y = \frac{v}{pu} [/tex]
Do this word document and just add it into the question please it's urgent
• State whether the figure appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry and state their number.
•State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.
yes,oneyes, 5NoNoyes ,8 ,45°nonoyes ,one ,180°Urgent! please help
2x+3y=11
10x+5y=20
Simple equation
Answer:
2x+3y=11. x=4 and y=1.
10x+5y=20. x=1 and y=2.
Pleasee helpp
Write a^3 •a^4 without the exponents
Answer:
a x a x a x a x a x a x a
Step-by-step explanation:
a^3 is three a's being multiplied by each other. a^4 is four a's being multiplied by each other
PLZZZZZ HELP ME I WILL MAKE YOU BRAINLIEST ANWER PLZZZZZ THANKYOU!!!!!!
Answer:
Step-by-step explanation:
For the first one here is the answer:
Given.
Transitive property of equality- this is becasue the rule is if A=b and B=c then A=c. IN this situation its saying that a is parrelel to b and b is parralel to c therfore a is parrelel to c.
line A and d cross over at 90 degree angles making them perpendicular. -There should be a rule for this and if there is then write that rule down
Second answer:
Given.
Definition of a supplementary angle.
Definition of a supplementary angle
Definition of supplementary angles.
Alternate Exterior Angles Theorem
C=D
-Srry for the definiton of supplementary angles thing but thats the best answer for those.
Hope i helped
If the millers spend $1400 on housing, then what is their total budget?
Answer:
need more detail
Step-by-step explanation:
Find the measure of the missing angle.
Answer:
20 degrees
Step-by-step explanation:
90 degrees minus 70 degrees, because it is a 90 degree angle.
Enya walked 2km 309m from school to the store. Then, she walked from the store to her home. If she walked a total of 5km, how far was it from the store to her home?
Answer:
2 km 691 m
Step-by-step explanation:
5 km - 2 km 309 m
= 5000 m - 2309 m
= 2691 m
= 2 km 691 m
3/8 + 1/8 - 2/7 + 1/4 equals
Answer:
Step-by-step explanation: 37/56
A park is in the shape of rectangles. The park is 5/8 mile long and 2/3 mile wide. What is the area of the park?
Answer:
The area of a rectangle is the product of its dimensions. Your park has an area of
(5/8 mi)×(2/3 mi) = 10/24 mi² = 5/12 mi²
Step-by-step explanation:
A car was travelling at a speed of 90km/h. What was its speed in m/s?
How many three-digit even numbers are possible if the leftmost digit cannot be zero?
Answer:
450
Step-by-step explanation:
There are 900 3-digit numbers in the range 100–999. Of those, exactly half are even numbers.
There are 450 even three-digit numbers.
Pls help me
Question 4 Part C (3 points): Based on the composite function you created in part A, determine how many trees Carlos can expect to have after 22 days. Click the included image to refer back to Part A as needed.
The composite function is 20d-(80) = 67
A.86 trees in 22 days
B.440 trees in 22 days
C.1340 trees in 22 days
D.1360 trees in 22 days
Answer:
C) 1340 days
Step-by-step explanation:
The composite function you have given is incorrect.
The composite function for this question is:
t(d) = 60d + 20
(as I have proven in a previous question)
Substitute d = 22 into the function:
t(22) = 60(22) + 20
= 1320 + 20
= 1340 days
Mei tapes two pieces of paper together that each measure 30.45
centimeters. They then cut off 10.42 centimeters.
Rashaad owns a small business selling used books. He knows that in the last week 13 customers paid cash, 50 customers used a debit card, and 53 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answer:
25/58
Step-by-step explanation: Ok, your step one should be to add all the previous customer values together to see what the total pool of values is. 13+50+53=116, this becomes your denominator. Then, you see that out of these 116 customers in the past week, 50 used a debit card. So based on this data, we can assume that 50 out of every 116 customers will use a debit card. The fraction is thus 50/116. Then it needs to be simplified. Divide the numerator and denominator by 2, and BAM 25/58 is your final answer.
Probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes for a given event."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Given,
Number of customers paid through cash = 13
Number of customers paid through debit card = 50
Number of customers paid through credit card = 53
Total number of customers = 13 + 50 + 53
= 116
Substitute the value in the formula we get,
Required probability = (50 / 116)
= (25 / 58) (simplest fraction form)
Hence, probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).
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Please answer the following question:
A pen costs $2.09. It costs $0.45 less than a marker. Ken paid for one pen and one marker with a five-dollar bill. What is his change? If you can answer this thank you, you may use a tape diagram with caculations to determine his change.
Answer:
His change would be $1.27 because he paid $3.73 for the pen and marker.
Step-by-step explanation:
49. Find the m
a. 60°
c. 300
b = 13
b. 75°
d. 73°
47
B.
c=17
Answer:
C. 30°
Step-by-step explanation:
thank you for the points make me brainliest please.
Find the degree of this polynomial.
-7d
Hey there!
The degree is the exponent.
Let me explain with examples.
Suppose we have a polynomial 4d.
Its degree is 1 (it's a first degree polynomial)
What is the degree of the polynomial 4d²?
That's right, this is a second-degree polynomial.
And so on...
Let's look at our polynomial.
We have
-7d.
What is the degree of the polynomial?
That's right, 1.
Hence, -7d is a
[tex]\boxed{\boxed{\bold{first-degree~polynomial}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\bold{Don't~give~up...}[/tex]
the price of gasoline rose from $3.59 to $3.71 in one week. By what percentage did the gas price rise?
Determine if the three lengths can be the measures of the sides of a triangle.
20 ft, 16 ft, 38 ft
Answer:
No
Step-by-step explanation:
No because if you have 38 on the bottom, 20 and 16 do not add up to 39 or more.
thanks again for the help everyone
Answer:
[tex]\sf{ (z-7)(z-2)}[/tex]
explanation:
[tex]\sf z^2 - 9z + 14[/tex]
break down, (7 * 2) = 14
[tex]\sf z^2 - 7z - 2z + 14[/tex]
collect in parenthesis
[tex]\sf z ( z - 7 ) -2(z - 7)[/tex]
collect in groups
[tex]\sf{ (z-7)(z-2)}[/tex]
Х
If two lines do not intersect, then
they are parallel.
Can someone help me plzz I need the answer plzzz
Answer:
translation of 8 units to the left
Step-by-step explanation:
the x coordinate change by -8 so that is 8 units to the left
The lines represented by the equations y = -X – 3 and
5y + 5x = -15 are
neither parallel nor perpendicular
Submit Answer
the same line
parallel
perpendicular
What is the answer?
Answer:
The lines represented by the equations y = -X – 3 and
5y + 5x = -15
Step-by-step explanation:
neither are parallel nor perpendicular
Submit Answer
the same line
parallel
perpendicular
What is the answer?
Cos(90-2x) . tan(180+x) + sin^2(360-x)
Answer:
Step-by-step explanation:
Cos(90-2x) . tan(180+x) + sin^2(360-x)
= sin(2x) * tan(x) + sin²(x)
= 2sin(x) cos(x) sin(x)/cos(x) + sin²(x)
= 2sin²(x) + sin²(x)
= 3sin²(x)
determine the rate of change from the two points (3,4)(5,8)
Answer: 2
Step-by-step explanation:
8 - 4 = 4
5 - 3 = 2
4/2 = 2
Answer:
2Step-by-step explanation:
the rate of change or slope from the given two points is rise over run.
(3, 4) (5, 8)
slope = (y2 - y1) / (x2 - x1)
= (8 - 4) / (5 - 3)
= 4 / 2
= 2
Use a graphing calculator or other technology to answer the question.
Which quadratic regression equation best fits the data set?
yˆ=1568.064x2−115.264x+2.608
yˆ=2.608x2−115.264x+1568.064
yˆ=2.608x2+115.264x+1568.064
yˆ=2.608x2+112.909x+1568.064
x y
15 423
17 398
19 308
20 255
21 297
25 365
29 401
Answer:
yˆ=2.608x2−115.265x+1568.065
Step-by-step explanation:
I took the test.
The quadratic regression equation best fits the data set is 2.608x² -155.264x + 1568.064 option second is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
Let's suppose the quadratic regression equation best fits the data set:
y = Ax² + Bx + C
From the data set, we can calculate the value of the A, B and C:
A = 2.608
B = -155.264
C = 1568.064
y = 2.608x² -155.264x + 1568.064
Thus, the quadratic regression equation best fits the data set is 2.608x² -155.264x + 1568.064 option second is correct.
Learn more about the line of best fit here:
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