A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 272 students is xbar= 141 minutes, with a sample standard deviation of 66.

Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.

What is the standard error of the sample mean?

Consider the hypotheses H0: µ = 150 against Ha: µ < 150.

What is the value of the test statistic? Give your answer to two decimal places.

The p-value for the correct test statistic is 0.0126. What do you conclude at the a = 0.05 level?

We do not have enough evidence to say that students are not studying 2.5 hours per night during the school week.
We have strong evidence that, on average, students study less than 2.5 hours per night during the school week.

Answers

Answer 1

Answer:

We have strong evidence that on average, students study less than 150 minutes per night during the school week

Step-by-step explanation:

Normal distribution:

mean     μ₀ = 150

Sample:

Sample size    n = 272

Sample mean   x = 141

Sample standard deviation  s  = 66

The standard error of the sample mean  SE = σ /√n

SE = 66/√272

SE = 66 / 16,49

SE = 4

Test Hypothesis:

Null hypothesis                            H₀             x  =   μ₀

Alternative hypothesis                Hₐ            x <    μ₀

z(s)  test statistics is:

z(s)  =  ( x  -  μ₀ ) / s/√n

z(s) = - 9 /4

z(s) =  -  2,25

p-value  for that z(s)      p-value  = 0,0122

Then for α =  0,05 p-value < 0,05

We are in the rejection region we need to reject H₀


Related Questions

In which of the following triangles are AB || DE?


The photos are the options to choose from! <3

Answers

Answer:

1st triangle and 4th triangle

. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?

Answers

Answer:

360 minutes or In 6 hours.

Step-by-step explanation:

When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)

Answers

Answer:

(a) [tex]p = 0.43d[/tex]

(b) [tex]p = 21.5[/tex]

(c) [tex]d = 151.163[/tex]

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

[tex]p\ \alpha\ d[/tex]

[tex]d =10[/tex] when [tex]p =4.3[/tex]

Solving (a): Write a variation

We have:

[tex]p\ \alpha\ d[/tex]

Write as an equation

[tex]p = kd[/tex]

Where: k is the constant of variation

[tex]d =10[/tex] when [tex]p =4.3[/tex]

So, we have:

[tex]4.3 = k * 10[/tex]

Make k the subject

[tex]k = \frac{4.3}{10}[/tex]

[tex]k = 0.43[/tex]

Substitute 0.43 for k in [tex]p = kd[/tex]

[tex]p = 0.43d[/tex]

Solving (b): Pressure at 50 feet

Substitute 50 for d in [tex]p = 0.43d[/tex]

[tex]p = 0.43 * 50[/tex]

[tex]p = 21.5[/tex]

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in [tex]p = 0.43d[/tex]

[tex]65 = 0.43 * d[/tex]

Make d the subject

[tex]d = \frac{65}{0.43}[/tex]

[tex]d = 151.162790698[/tex]

[tex]d = 151.163[/tex] -- approximated

The safe distance for an amateur is 151.163ft

Can someone help me it will for sure help alot someone who is confident on doing it WILL GIVE BRAINLIEST

Answers

Answer:

....................

ANSWER NEEDED QUICK, SHOW YOUR WORK PLEASE)

Ground beef costs $2.19 per pound. Which equation best
represents y, the total cost of x pounds of ground beef?
A. x = 2.19y
B. x= 2.19+y
C. y = 2.19x
D. y = 2.19 + x

Answers

Answer:

C

Step-by-step explanation:

When looking at the total cost of x pounds of something when the cost is per pound, you multiply the two numbers. Because y is the total cost, you want that as the answer that you are looking for, so it will be by itself when looking at the two sides of the equation. This means that answer c is the only one correct. A/B cannot be unless you were looking for the number of pounds, and you were dividing y (total cost) by 2.19 (cost per pound). D does not work because you are just adding how many pounds you have to the cost per pound.

!!!!15 EASY POINTS!!!!

What is 8x times x?

Answers

Answer:

8x²

Step-by-step explanation:

Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.

The multiplication of 8x and x is 8x^2.

When we have to do multiplication,

We have given 8x and x.

What is the meaning of multiplication?

Multiplication is defined as calculating the result of repeated additions of two numbers.

you would count how many x's there are and

Raise the x to the power of the number of x's.

and that is

[tex]=8\times x\times x[/tex]

There are two x therefore we have

[tex]=8x^2[/tex]

Therefore the multiplication of 8x and x is 8x^2.

To learn more about the multiplication visit:

https://brainly.com/question/10873737

A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1000 klgram Sha bebe

And so many things I have to do whit a person do and every thing

Thank you

Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by - 7x + 2y = 14?

Answers

Answer:

18

Step-by-step explanation:

to be 18 7 bitween one is the complet the neme of soit and can be instracttion

Answer:

d

Step-by-step explanation:

y+5=-2/7(x-4)

PLSS HELP NEEDED ASAP

Answers

I believe it is B. It shows the unit rate of the graph in miles per hour

Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.

A. 743, 970, 933

B. 870, 933, 780,

C. 780, 849, 761,

D. 867, 870, 933

Answers

the answer is D dnsgkstbranat

Mhanifa please help!! I will mark brainliest. Random answers will be reported

Answers

Answer:

[tex]\sqrt{h^2 + k^2}[/tex]

Step-by-step explanation:

Point O has coordinates (0, 0) B has coordinates (h, k)C has coordinates (h, 0)

Use the distance formula to find the length of OB:

OB = [tex]\sqrt{(h-0)^2 + (k-0)^2}[/tex] = [tex]\sqrt{h^2 + k^2}[/tex]

Which graph represents the function f(x)=3/2(2)superscript x? I’ll give Brainliest or whatever

Answers

Answer:D. Last graphHope this helps!!

2.12 Graded Assignment: Basic Geometric Shapes - Part 2

Answers

Answer:

ohh easy, u commin home yet

Step-by-step explanation:

dad this u?

Step-by-step explanation:

For 1A

2y + 98° = 9y + 7° < being vertically opposite angles >

9y - 2y = 98° - 7°

7y = 91°

y = 13°

For 1B

9y + 7° = 9 * 13° + 7° = 124°

2y + 98° = 2 * 13° + 98° = 124°

The angles which are unknown are also vertically opposite angles so let unknown angles be x then

124° + 124 ° + x +x = 360° { being complete turn }

248° + 2x = 360°

2x = 112°

x = 56°

so all angles are 124° , 124° , 56°, 56°

For 2A

6y - 10 + 6y + 10 = 180° ( being linear pair)

12y = 180°

y= 15°

For 2B

6y - 10 = 6 * 15 - 10 = 80°

6y + 10 = 6 * 15 + 10 = 100°

Hope it will help :)

a elevator is on the 10 floor it goes down 6 floors and then up 4 floors what floor is the elevator on now

Answers

Answer:

8th floor

Step-by-step explanation:

10 - 6 = 4

4 + 4 = 8

Answer:

8 floor

Step-by-step explanation:

gfhshddhdhfhdhrbyuygtv

five sixths yards = inches

Answers

Answer:

Five sixths of a yard is 30 inches

Step-by-step explanation:

what is 6+5/7 converted into a mix number

Answers

Answer:

47/7

Step-by-step explanation:

I think the answer is 6 5/7 or 47/4

Answer:

6 5/7

Step-by-step explanation:

Hope this helps!

Best of luck! ♥

Please Help 15 points and brainliest for best answer thank you it's on the picture provided

Answers

Answer:

NO PICTURE

Step-by-step explanation:

What is the sum of 5/7 + 5/6?

A. 10/42

B. 10/13

C. 1 & 23/42

D. 6 & 5/42

Answers

Answer:

C. 1 & 23/42

Step-by-step explanation:

Well when we add it we get 65/42 and we need to    

simplify it and we get 1 & 23/42.

Answer:

C

Step-by-step explanation:

Mrs. Rogers sold 48 out of 80 crafts at the fair. What
percent of her crafts did she sell?

Answers

Answer:

She sold 60% of her crafts.

Step-by-step explanation:

48/80 = 0.6

please mark me brainliest :)

Answer:

60%

cuz 48 / 80 = .6 convert .6 into a percentage which is 60%...

can i be brainiest...

Drag numbers to show which are closer to -3/5 and 4/5 on the number line.

Answers

Answer:

closest to -3/5 is -4/5. closest to 4/5 is 0.6

Step-by-step explanation:

Answer:

-4/5 in the first

.6 in the second

Step-by-step explanation:

it was correct

What is the equation?

Answers

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)


Help me please guys.
Find the measure of angle b using the law of sines.
I need to show full work to the teacher

Answers

15.04 degrees or answer A is correct.


The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.


You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:

The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).

I hate useless complicated math lol ;)

HELP FAST FAST FAST FASTT PLS<3

A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?

Answers

Answer:

Fraction = [tex]\dfrac{3}{20}[/tex]

Step-by-step explanation:

Given that,

A model of the ocean floor takes up 2/5 of the space in an aquarium.

3/8 of the model is coral.

We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :

[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]

So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.

A (3,2) y b (2,-1) pasa por los puntos

Answers

=================================

Answer:

In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

================================

Respuesta

En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

================================

When 2/3 tons of coal cost $13.50, what will in ton cost?

Answers

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?

Answers

Answer: 18.15 miles

Step-by-step explanation:

The answer is 18.15 miles

Which of the following is equal to 4.8 ÷ 2?

Answers

DIVISION

Let's divide:

4.8 ÷ 2 = 2.4

Another option:

Shift the decimal point one space for both:

4.8  →  48

2.0  →  20

Now we can divide easily:

48 ÷ 20 = 2.4

It will give the same result.

‎      ‏‏‎

Answer. 2.4

For the test, Ben knows that writing a poem will take him 30
minutes while writing a paragraph will only take him 10 minutes.
Ben will have 2 hours to complete the test. Which inequality best
matches the situation?
30x + 107 > 2
o 30+10y < 120
o 30% + 10% < 2
30% + 10y > 120

Answers

Answer:

30+10y < 120

Step-by-step explanation:

Three different accounts are described below. Order the accounts according to their values after 10 years, from greatest to least.

You deposit $950 in an account that earns 9% annual interest compounded daily.
= You deposit $1000 in an account that earns 8% annual interest compounded daily.
= You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
= You deposit $1000 in an account that earns 10% simple interest.

Answers

Answer:

`1. You deposit $950 in an account that earns 9% annual interest compounded daily.

2.You deposit $1000 in an account that earns 8% annual interest compounded daily.

3. You deposit $1000 in an account that earns 9% annual interest compounded semiannually.

Step-by-step explanation:

Trick question, number 3 says semiannually so it is only twice a year, so it is the least. In math papa or any algebra calculator, put in the two equations and compare which is greater, in this case, y = 950(1.09)^10 is greater than y=1000(1.08)^10

Accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The formula for daily compounding is:

[tex]A = P(1 + r/n)^{nt}[/tex]

where A is the future value,

P is the principal amount,

r is the annual interest rate,

n is the number of times the interest is compounded per year, and t is the time in years.

When we deposit $950 in an account that earns 9% annual interest compounded daily.

A = 950(1 + 0.09/365)³⁶⁵⁰

= $2,436.24

Deposit $1000 in an account that earns 8% annual interest compounded daily.

A = 1000(1 + 0.08/365)³⁶⁵⁰

= $2,223.97

Deposit $1000 in an account that earns 9% annual interest compounded semiannually.

A = 1000(1 + 0.09/2)²⁰

= $2,471.52

Deposit $1000 in an account that earns 10% simple interest.

The formula for simple interest is:

A = P(1 + rt)

where A is the future value, P is the principal amount, r is the annual interest rate, and t is the time in years.

Using this formula, we get:

A = 1000(1 + 0.10(10))

= $2,000

Now we can order the accounts from greatest to least based on their future values after 10 years:

Account 3: $2,471.52

Account 1: $2,436.24

Account 2: $2,223.97

Account 4: $2,000

Hence, accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?

Answers

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

-3+5=1 is equal to two so this is not a soulution and is not correct because 2=1 is not true

2x+4y=2

2(3)+4(5)=2

6+20=2

this is also incorrect because as we all no 26 is a very diffrenent number to two

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