We're told that "the claim that the population of student course evaluations has a mean equal to 3.50". So this means μ=3.50 makes up the null H0
The alternative would be H1: μ ≠ 3.50 since it's the opposite of the claim made in the null.
We go with answer choice D to form the null and alternative hypotheses.
The sign ≠ in the alternative hypothesis tell us that we have a two tail test.
---------------------------------------
Let's compute the test statistic
z = (xbar - mu)/(s/sqrt(n))
z = (3.44 - 3.50)/(0.67/sqrt(89))
z = -0.84483413122896
z = -0.84
The test statistic is roughly -0.84
---------------------------------------
Despite not knowing what sigma is (aka the population standard deviation), we can see that n > 30 is the case. So we can use the Z distribution. This is the standard normal distribution. When n > 30, the T distribution is fairly approximately the same as the Z distribution.
Use a calculator or a Z table to determine that
P(Z < -0.84) = 0.2005
which is approximate
Because we're doing a two-tail test, this means we double that result to get 2*0.2005 = 0.401
The p-value is roughly 0.401
-----------------------------------------
Since the p-value is larger than alpha = 0.05, we don't have enough evidence to reject the null. So you can say that we fail to reject the null, or we accept the null.
The conclusion based on that means that μ=3.50 must be true (unless other evidence comes along to disprove this). In other words, the mean evaluation score from students appears to be 3.50
Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?
After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.
Answer:
Step-by-step explanation:
12 months
Answer:
12 months b on edg
Step-by-step explanation:
edg 2022
If the cube root parent function is horizontally stretched by a factor of 4, then translated 5 units right and 3 units up, write an equation to represent the new function?
Answer:
The cube root parent function:
f(x) = [tex]\sqrt[3]{x}[/tex]Horizontally stretched by a factor of 4:
g(x) → f(1/4x) = [tex]\sqrt[3]{1/4x}[/tex]Translated 5 units right:
h(x) → g(x - 5) = [tex]\sqrt[3]{1/4x - 5}[/tex]Translated 3 units up:
k(x) → h(x) + 3 = [tex]\sqrt[3]{1/4x - 5} + 3[/tex]b Draw a picture to show 3:5= 6:10. Explain how your picture show equivalerit ratios.
Answer:
3:5 = 6:10
3x2 : 5x2
= 6:10
Answer:
Step-by-step explanation:
Draw 3:5 balls shaded, and draw 6:10 balls shaded. Then, divide the 10 balls into two, with three shaded balls and 5 total balls on one side.
Two angles of a triangle have the same measure.
If two sides have lengths 15 and 20, what is the
greatest possible value of the perimeter of the
triangle?
9514 1404 393
Answer:
55 units
Step-by-step explanation:
If two angles have the same measure, the triangle is isosceles. That means two sides have the same measure. Since the two given sides are different measures, the remaining side must be one of those. The perimeter will be greatest if the congruent sides are the longest. The greatest perimeter is ...
15 + 20 + 20 = 55 . . . units
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an estimate at the 95% level of confidence. For a sample of 582 third graders, the mean words per minute read was 24.1. Assume a population standard deviation of 3.7. Construct the confidence interval for the mean number of words a third grader can read per minute.
Answer:
The 95% confidence interval for the mean number of words a third grader can read per minute is (23.8, 24.4).
Step-by-step explanation:
We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a p-value of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.7}{\sqrt{582}} = 0.3[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 0.3 = 23.8
The upper end of the interval is the sample mean added to M. So it is 24.1 + 0.3 = 24.4.
The 95% confidence interval for the mean number of words a third grader can read per minute is (23.8, 24.4).
Did any one know this?
Answer:
x sqrt(2)
Step-by-step explanation:
sqrt(a) / sqrt(b) = sqrt(a/b)
sqrt( 14 x^3) / sqrt(7x)
sqrt(14x^3/7x)
sqrt(2x^2)
sqrt(ab) = sqrt(a)sqrt(b)
sqrt(x^2) sqrt(2)
x sqrt(2)
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.4 inches, and standard deviation of 4.1 inches.
A) What is the probability that a randomly chosen child has a height of less than 61.25 inches?
Answer= (Round your answer to 4 decimal places.)
B) What is the probability that a randomly chosen child has a height of more than 46.5 inches?
Answer= (Round your answer to 4 decimal places.)
(A)
P(X < 61.25) = P((X - 55.4)/4.1 < (61.25 - 55.4)/4.1)
… ≈ P(Z ≤ 0.1427)
… ≈ 0.5567
(B)
P(X > 46.5) = P((X - 55.4)/4.1 > (46.5 - 55.4)/4.1)
… ≈ P(Z > -2.1707)
… ≈ 1 - P(Z ≤ -2.1707)
… ≈ 0.9850
if 12 +2 =2 orderly what is 6 +3 orderly
Answer:
3
Step-by-step explanation:
Please Mark me brainliest
Answer:
aren't one of the numbers in the equations supposed to be negative?
A 7-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of X
Step-by-step explanation:
According to the question,
Total length the board = 7 feetIt has been cut into two pieces.Length of one piece = x feetBasically,
[tex]\longrightarrow[/tex] Total length of the board = Sum of the length of the two pieces
[tex]\longrightarrow[/tex] Total length of the board = Length of 1st piece + Length of the 2nd piece
[tex]\longrightarrow[/tex] 7 feet = x feet + Length of the 2nd piece
[tex]\longrightarrow[/tex] (7 – x) feet + Length of the 2nd piece
Hence, we got the required answer!
7. Solve for x: x/6 - y/3 = 1
Please give steps!
what is the answer for this question?
1. Dayne has three investment portfolios: A, B and C. Portfolios A, B and C together are worth a total of $175000, portfolios A and B together are worth a total of $143000, while portfolios A and C together are worth a total of $139000.
Use Cramer’s Rule to find the value of each portfolio.
Answer:
The correct answer is:
Portfolio A = $107,000
Portfolio B = $36,000
Portfolio C = $32,000
Step-by-step explanation:
According to the question,
[tex]A+B+C=175000[/tex]...(1)
[tex]A+B = 143000[/tex]...(2)
[tex]A+C=139000[/tex]...(3)
Now,
From (1) and (2), we get
⇒ [tex]Portfolio \ C = (1)-(2)[/tex]
[tex]=175000-143000[/tex]
[tex]=32000[/tex]...(4)
From (1) and (3), we get
⇒ [tex]Portfolio \ B =(1)-(3)[/tex]
[tex]=175000-139000[/tex]
[tex]=36000[/tex]...(5)
From (1), (4) and (5), we get
⇒ [tex]Portfolio \ A = (1)-(4+5)[/tex]
[tex]=175000-(36000+32000)[/tex]
[tex]=175000-68000[/tex]
[tex]=107000[/tex]
Thus the above is the correct answer.
Help.. what does Y=
Answer:
The answer is B. 3
Step-by-step explanation:
The right angle points at side C which is the biggest side of a triangle and the smallest side is half of what side C is which is 3
mJWL=87 degrees. Find the value of x.
JWL = JWI + IWL
87 = (2x + 24) + (3x - 12)
87 = 5x + 12
5x = 75
x = 15
Hope this helps!
The value of the variable x will be 15. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The measure of the angle ∠JWL will be 87°.
The angle ∠JWI and angle ∠IWL will be the linear angle.
Then the sum of the angle ∠JWI and angle ∠IWL is equal to the angle ∠JWI.
∠JWI + ∠IWL = 87°
(2x + 24) + (3x – 12) = 87
5x + 12 = 87
5x = 87 – 12
5x = 75
x = 75 / 5
x = 15
Thus, the value of the variable x will be 15.
Then the correct option is A.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ5
Why school sucks: A makes you learn stuff you don’t care about and will never use B teachers suck and don’t teach property C they don’t teach you useful things like taxes bills ect D they overwork students E its not even about learning anymore all goals are is just good grades.
Why is our future determined on letters on a piece of paper? I’d rather die then be in this society
Answer:
I think answer is E
Step-by-step explanation:
Place the labels in the chart
If you can draw this out for me or describe were they are that will be very helpful:)
Answer:
Check the image
Can someone help me out
Answer:
π×64×4=804.25
Step-by-step explanation:
Formula of cylinder is π×square of radius×height
Answer:
803.8
Step-by-step explanation:
it's 3.14×8×8×4 which would give you 803.84 and then you round which would give you 803.8
A local cinema reduced its ticket prices by 15% which means a ticket now costs £10.88. how much was a ticket before the reduction?
write your answer as an integer or as a decimal rounded to the nearest tenth.
Answer:
6.43
Step-by-step explanation:
Cosine: cos(θ) = Adjacent / Hypotenuse
cosine of 39 degrees = 5/x
.77714596145 = 5/x
x = 5/.77714596145
x= 6.43379782952
White colour is painted in 2 ft wide which lies inside from both sides in the basketball court of length 78 ft and breadth 46 ft . find the area of the painted part.
Answer:
L1=78
W1=46
L2=78+4=82
W2=46+4=50
Area=L2×W2-L1×W1
82×50-78×46
Ans- 512ft^2
0.5 kilograms (kg) is equal to how many ounces? Round your answer to the
Answer:
17.637 ounces
Step-by-step explanation:
35.274 ounces is 1 kilogram so divide 35.274 by 2
Please I need help please!!!!
I need the answer ASAP…!!!!!!
If you know the answer please tell me
Answer:
x=−16/3 or x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x2+10x−8=24
Step 2: Subtract 24 from both sides.
3x2+10x−8−24=24−24
3x2+10x−32=0
Step 3: Factor left side of equation.
(3x+16)(x−2)=0
Step 4: Set factors equal to 0.
3x+16=0 or x−2=0
twice the difference of a number and 8 is 6. use the variable x for the unknown number.
Answer:
11
Step-by-step explanation:
Unknown number = x
If twice the difference of x and 8 is 6:
2(x-8) = 6
2x-16 = 6
2x = 6 + 16
2x = 22
x = 22/2
x = 11
Answer from Gauthmath
A student majoring in accounting is trying to decide on the number of firms to which he should apply. Given his work experience and grades, he can expect to receive a job offer from 70% of the firms to which he applies. The student decides to apply to only four firms.
(a) What is the probability that he receives no job offer?
(b) How many job offers he expects to get?
(c) What is the probability that more than half of the firms he applied do not make him any offer?
(d) What assumptions do you need to make to find the probabilities? To increase the chance of securing more job offers, the student decides to apply to as many companies as possible, he sent out 60 applications to all different accounting firms.
(e) What is the probability of him securing more than 3 offers?
Answer:
a) 0.0081 = 0.81% probability that he receives no job offer
b) He expects to get 2.8 job offers.
c) 0.0837 = 8.37% probability that more than half of the firms he applied do not make him any offer.
d) Each job must be independent of other jobs. Additionaly, if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the normal approximation to the binomial distribution can be used.
e) 0.2401 = 24.01% probability of him securing more than 3 offers.
Step-by-step explanation:
For each application, there are only two possible outcomes. Either he gets an offer, or he does not. The probability of getting an offer for a job is independent of any other job, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
He can expect to receive a job offer from 70% of the firms to which he applies.
This means that [tex]p = 0.7[/tex]
The student decides to apply to only four firms.
This means that [tex]n = 4[/tex]
(a) What is the probability that he receives no job offer?
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.7)^{0}.(0.3)^{4} = 0.0081[/tex]
0.0081 = 0.81% probability that he receives no job offer.
(b) How many job offers he expects to get?
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
In this question:
[tex]E(X) = 4(0.7) = 2.8[/tex]
He expects to get 2.8 job offers.
(c) What is the probability that more than half of the firms he applied do not make him any offer?
Less than 2 offers, which is:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.7)^{0}.(0.3)^{4} = 0.0081[/tex]
[tex]P(X = 1) = C_{4,1}.(0.7)^{1}.(0.3)^{3} = 0.0756[/tex]
Then
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0081 + 0.0756 = 0.0837[/tex]
0.0837 = 8.37% probability that more than half of the firms he applied do not make him any offer.
(d) What assumptions do you need to make to find the probabilities? To increase the chance of securing more job offers, the student decides to apply to as many companies as possible, he sent out 60 applications to all different accounting firms.
Each job must be independent of other jobs. Additionaly, if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the normal approximation to the binomial distribution can be used.
(e) What is the probability of him securing more than 3 offers?
Between 4 and n, since n is 4, 4 offers, so:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401[/tex]
0.2401 = 24.01% probability of him securing more than 3 offers.
Find the area of the circle. Use 3.14 for tt. d = 6 ft A = [?] ft2 A=Tr2
d=6ft
According to formula A=πr²
first we need 'r'
Hence,
as, r=d/2
r=6ft/2
r=3ft
A=πr²
A=3.14(3ft)²
A=3.14×9ft²
A=28.26ft²
Oscar has 1/5 of a jar of mustard. He puts equal amounts of the mustard onto 7 sandwiches and uses all of the mustard. What fraction of a jar of mustard does each sandwich have?
Answer:
1/35 jar of mustard yuh yuh
What is the maximum of f(x)= sin(x)?
-2π
-1
1
2π
Answer:
1
Step-by-step explanation:
the maximum of f(X)=sin(X) is 1
32% adults favor the use of unmanned drones by police agencies. Twelve u.s. adults are randomly selected. Find the probability that the number of u.s. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
Answer:
C
Step-by-step explanation:
32% of 12 =
32/100 x 12
= 3.84
So, C would be the correct choice
I wasn't sure about my answer so used the Gauthmath App
(03.04) Use the graph below for this question: What is the average rate of change from x = −3 to x = 5? (1 point)
A.−1
B.0
C.1
D.8
Answer:
B. 0
Step-by-step explanation:
Rate of change from x = -3 to x = 5
Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
where, from the graph, we have:
a = -3, f(a) = -1,
b = 5, f(b) = -1,
Plug in the values
Rate of change = [tex] \frac{-1 -(-1)}{5 - (-3)} [/tex]
Rate of change = [tex] \frac{0}{8} [/tex]
Rate of change = 0
What is 21 1/8 minus 14 1/8
Answer:
8.75
Step-by-step explanation:
211/8 = 26.375
141/8 = 17.625
now,
211/8-141/8
26.375-17.625
8.75
Drag the numbers to the boxes to order them from least to greatest value. Please answerr quick
Answer:
Please what is the first value there?
x is the same as 1x or 1
√5 = 2.2360679775
(2)1/2 is the same as 5/2 or 2.5
√7 = 2.64575131106
√11 = 3.31662479036
3.5
least to greatest:
x < √5 < (2)1/2 < √7 < √11 < 3.5
