A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. Which conclusion is valid based on the results of the test
Answers
Answer:
We conclude that her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company states.
Step-by-step explanation:
We are given;
Population mean; μ = 30 minutes
Population standard deviation; σ = 3 minutes
Sample size; n = 10
Sample mean; x¯ = 25
Significance level = 5% = 0.05
Let's define the hypotheses;
Null hypothesis; H0: μ = 30
Alternative hypothesis: Ha: μ ≠ 30
Let's find the test statistic;
z = (x¯ - μ)/(σ/√n)
z = (25 - 30)/(3/√10)
z = -5.27
From online p-value from z-score calculator attached using, z = -5.27, significance level = 0.05, two tailed hypothesis, we have;
p < 0.00001
This is less than the significance level, and so we will reject the null hypothesis and conclude that Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.
Answer:
A. Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.
Related Questions
19 is greater than the sum the number n and 3
Answers
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answers
Answer:
≈ 6 hours 10 minutesStep-by-step explanation:
Matthew can wash all the cars in 14 hours ⇒ 1/14 of all cars in 1 hourArianna can wash all the cars in 11 hours ⇒ 1/11 of all cars in 1 hourTogether they can wash in 1 hour:
1/14 + 1/11 = 25/154Time needed to wash all the cars:
154/25 = 6.16 hours ≈ 6 hours 10 minutesanswers r
268
201
151
67
Answers
67in³
Answer:
we have
volume of sphere =4/3 πr³=1/3×π×4³=67.02=67in³ is your answer.
can someone help me :)
Answers
Answer:
-61 degrees F
Step-by-step explanation:
26 + 58 rounded to the nearest ten
Answers
Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
26+58=84
Rounded=80
Can someone please explain how to solve these questions.
Answers
Answer: your answer are in the screen shots hope this helped
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
m<A= 14 and m<C= 119
Step-by-step explanation:
Hope this helps, have a nice day :)
Answer:
<A= 14 and <C= 119
Step-by-step explanation:
The approximate areas of South Carolina and Perto Rico are listed below: South Carolina: 8.29 * 10 ^ 4 kilometers Puerto Rico: 5.33 * 10 ^ 3 square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation.
Answers
Answer:
h if Shamus for steak FFS ah MI dj
Step-by-step explanation:
bight you gddjf SD NJ Gzgz SC jdd
Answer: 1.567x10^5
Step-by-step explanation: 2.2x10^5-5.33x10^3
220,000-5,330
214,670
2.1467x10^5
Leo made an apple pie for dessert. He split the pie into 4 slices. What is the angle measurement of each slice?
Answers
I need your help asap
Answers
1 - d
2 - e
3 - a
4 - c
Hope this helps!
4-c
3-6
1b
This is the answer to your question please
if y=12 when x=3, find y when x =15 ( Y varies directly as x)
Answers
when y= 12, x=3
12 = 3k
k = 12/3
k = 4
y = 4x
when x= 15
y = 4(15)
y = 60
The town of Butler received 6 more inches of snow than the town of Chicora. Let c represent the amount of snow in Chicora. Which algebraic expression represents the amount of snow in Butler?
pls help i have been stuck on this for like an hour now.
Answers
Answer:
y=c+6
Step-by-step explanation:
this is the only equation I could think that fits the situation
hope this helped!
ANSWER QUICK
A backpack is on sale for 15% off the original price of $39.99. What is the sale price?
Answers
Answer:
33.99
Step-by-step explanation:
multiply the original by 100-the sale percentage
(100-15 = 85
.85x39.99
Answer:
$33.99
Step-by-step explanation:
We are given that we have 15%.
What this means is that we subtract 15% from 100%.
Doing that we get 1.00 - 0.15 = 0.85
Therefore the price equals $39.99 * 0.85
The final price is $33.99
Can you pls help me
Answers
Answer:
b
Step-by-step explanation:
25 divided by 25 equals 1
375 divided by 25 equals 15
What is the slope and equation of a line parallel to the y-axis passing through point (-4,3)
Answers
Answer:
-4 is x and 3 is y
Step-by-step explanation:
please help me :(:(:(:(:(
Answers
Answer:
$1,568.00
Step-by-step explanation:
I=700 x 0.28 x 8 =1568
The simple interest accumulated on a principle of $700 at a rate of 0.28% per year for 8 years is $1,568.00
Can someone please help me?!?!
Answers
Answer:
0, -12
Step-by-step explanation:
Evaluate the expression below when P=7 (P+3)
Answers
Answer:
Answer:
10
Step-by-step explanation:
(7+3) = 10
What is 5% as a fraction?
Answers
Answer:
1/20,2/40
Step-by-step explanation:
brainly 20 characters thing jajdjwkdjsjeijdkekekd
the winning times in the 5km race for the USA Women's Runners from 1999 to 2004 are listed below in minutes which list shows the list from the fastest time to the slowest time.
Answers
Answer:
I dont see the answer choices dog
I’m practicing for my test and I’m confused, can you guys help?
Answers
9514 1404 393
Answer:
y = 170 -3x
Step-by-step explanation:
The marked angles are called "same-side interior angles", or "consecutive interior angles" because they are between the parallel lines and on the same side of the transversal. Such angles are supplementary.
y + (3x +10) = 180
y = 180 -(3x +10) . . . . . subtract everything on the left that is not y
y = 170 -3x . . . . . . . . . simplify
Find the surface area
Answers
Answer:
rectangular prism = cuboid
total surface area of a cuboid (tsa) = 2(lb+bh+hl)
l=length = 3cm
b=breadth = 6cm
h=height = 5cm
tsa = 2( 3*6 + 6*5 + 5*3 )
2( 18 + 30 + 15 )
2 * 63
= 126 [tex]cm^{2}[/tex]
hope this answer helps you.....
Help me with number two please
Answers
I would expect the results to not be the same because not everyone has the same type of movie preference.
What is the distance between (4, 3) and (7, 3)?
Answers
Answer:
3 units
Step-by-step explanation:
hii!! please help!!
Answers
Answer:
im not sure try use calculater
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x = 4
Step-by-step explanation:
Let's find the length of JL as a first step. Knowing the result, we can easily find x.
|JL| 1
sin 30 degrees = ----------------- = --------
8√2 2
Then 2 |JL| = 8√2, or |JL| = 4√2
Next, find x: sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],
1
x / [4√2] = -------- which results in x = 4
√2
Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answers
Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.
__
B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
_____
* If we take the peak profit to be $270, we can write f(x) as ...
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.
Step-by-step explanation:
A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.
B) The value of f(1) from the graph to be about 120, so the average rate of change is about.
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
If we take the peak profit to be $270, we can write f(x) as:
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ5
can someone please help me with this question? (no links!!!)
Answers
V = 4/3 × 3 × 5^3
V = 4 × 125
V = 500 cm^3
help me pls its hard for me atleast
Answers
Answer:
the awnser is 12 because you have to divide
Step-by-step explanation:
Answer:
([tex]12[/tex]) pastries in one hour.
Step-by-step explanation:
This problem involved the concept of rates. A rate is a way of expressing the amount of work done compared to the amount of time it took, to find the pace at which one does the work. To express a rate, the general format used is: ([tex]work:time[/tex])
Substitute in the given values:
[tex]30:2.5[/tex]
In the problem, one is asked to find how many pastries can be made in one hour. To find this value, divide the rate by (2.5). This will leave (1) on the time side, and the amount of work done on the (work) side.
[tex]30:2.5[/tex]
[tex]12:1[/tex]
([tex]12[/tex]) pastries in one hour.
if the diamter of the sun is 16cm, what is the area
Answers
201.06cm²
Hope this helps.