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

Complete the following sentence.

The slope of the graph of y = x is

Answers

Answer:

The slope of y=x is 1

Step-by-step explanation:

Slope = 1

What is the value of 3 in the figure shown below?
E
с
20
3.6 3.6
118°
3.8 3.8
30
D
B

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.

  ∠E = 180° -118° -30° = 32°

The value of x is 32.

Pls hurry and help!!!3X-2y=4
6x-2y = -2
Solve the equations by using elimination Adding.

Answers

Answer:

The answer will be the following :

Step-by-step explanation:

Let's solve for x.

3x−2y=46x

Step 1: Add -46x to both sides.

3x−2y+−46x=46x+−46x

−43x−2y=0

Step 2: Add 2y to both sides.

−43x−2y+2y=0+2y

−43x=2y

Step 3: Divide both sides by -43.

−43x

−43

=

2y

−43

8. What is the DEGREE of the following binomial:
2x 5

Answers

Step-by-step explanation:

I'm thinking you are showing 2X^5 where 5 is the exponent. if so then it's the 5th degree

Bella's bedroom is 3 meters wide and 6 meters
long. Gina's bedroom is a 5-meter square. Who has
the bigger bedroom?

Answers

Answer:

Gina

Step-by-step explanation:

Bella's bedroom is 3m x 6m = 18m^2

Gina's bedroom is 5m x 5m = 25m^2

PLEASE HELP
Select the graph that shows the correct sum.

Answers

Answer: It’s the second option

Step-by-step explanation:

Bir kırtasiyeci aldığı kalemlerin tanesini
2 liradan satarsa 40 lira kâr, 1,5 liradan
satarsa 20 lira zarar ediyor.
Bu kırtasiyeci kaç kalem alıp satmış-
tır?
A) 125 B) 120 C) 115 D) 110​

Answers

Answer: Option B: 120.

Step-by-step explanation:

I will answer in English

This problem can be translated to:

A man bought N pens, (at a cost C) if he sells each pen at 2 lira, he will have a profit of 40 lira.

If he sells each pen at 1.5 lira, he will loss a total of 20 lira.

We want to find N, the number of pens that he bought.

if he sells the N pens at 2 lira each, the revenue is:

N*2 lira

And the profit is the difference between the revenue and the cost, then the profit (40 lira in this case) is:

N*2 lira - C = 40 lira.

When he sells each pen at 1.5 lira the equation is:

N*(1.5 lira) - C = -20 lira.

Then we have two equations:

N*2 lira - C = 40 lira.

N*(1.5 lira) - C = -20 lira.

To solve this we need to isolate the variable C in one of the equations, i will isolate C in the second equation:

N*(1.5 lira) + 20 lira = C.

Now we can replace this in the first equation to get:

N*(2 lira) - (N*(1.5 lira) + 20 lira) = 40 lira.

We can solve this for N.

N*(2 lira) - N*(1.5 lira) - 20 lira = 40 lira

N*(2 lira - 1.5 lira) = 60 lira

N*(0.5 lira) = 60 lira

N = (60lira/0.5lira) = 120

N = 120

This means that he bought 120 pens.

The correct option is B.

What expression is equivalent to (-18) - 64n ?

A -2 (9 - 32n)
B 2 (9 - 32n)
C 2 (9 + 32n)
D -2 (9 + 32n)

Answers

Answer:

D

Step-by-step explanation:

Distribute the -2 to the 9 to get -18 and then to the 32n giving you -64n

function not a function ?

Answers

Answer:

not a function

Step-by-step explanation:

HELP NOWW!!!
PLSS I NEED HELP RIGHT NOWWW!!
PLS HELP

Answers

Answer:

x = 55

Step-by-step explanation:

Draw a line parallel to the top and bottom parallel lines so this new line goes through the pointed end of x.

Draw another line parallel to the top and bottom lines through the pointy end of 45.

The bottom angle of the line through 45 is 15 degrees (alternate interior angles.

The top angle is 45 - 15 = 30

The bottom angle of the line going to x is 150 degrees. It and the 30 degree angle make 180. 30 + 150 = 180

One final observation The top angle of made by the line going through x is 180 - 25 = 155

What you have now is

155 + 150 + x = 360

305 + x = 360

x = 360 - 305

x = 55

jsksjdndve sjsbscs s jahvs e

Find the Slope (9,5) (9,-3)

Answers

The slope is undefined

(05.06)Use a net to find the surface area of the right triangular prism shown below:

Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.

88 square feet
232 square feet
283 square feet
300 square feet

Answers

Answer: The answer is 300

Step-by-step explanation: The triangle formula = ( B · H) ÷ 2

B = 5     H = 12     5 · 12 = 60 ÷ 2 = 30

Since there is two triangles you will have two 30's.

The rectangle farthest to the right = 13 · 8 = 104

If you unfold the triangle it will line up perfectly with the 3 rectangles, so...

The middle rectangle = 5 · 8 = 40

The rectangle farthest to the right = 12×8 = 96

Add them all up

30 + 30 + 104 + 40 + 96 = 300

Hope this helped!

Answer:

300

Step-by-step explanation:

Explain your answer

Thank you so much !

Will give brainlst

Answers

Answer:

Good luck with that

Step-by-step explanation:

We r to lazy to do it

Answer:

C

Step-by-step explanation:

Granite is mined worldwide but the most exotic colours are obtained from granite deposits in Brazil, India, China, Finland, South Africa and North America. Granite mining is a capital and labour intensive process. Chunks of granite are extracted from deposits by cutting or blasting procedures.

Please Help Me Asapp

Answers

The answer for the first question is s-14=25.

The answer for the second question is 4000+p=4375

Erin wants to buy a set of paint brushes:

Store A sells a set for $25.00 and offers a 10% discount
Store B sells a set for $27.00 and offers a 20% discount
Store C sells a set for $26.00 and offers a 15% discount
I NEED THIS ASAP! worth 20 points!

Answers

Answer:

m

Step-by-step explanation:

16^5/4 times 16^1/4/(16^1/2)^2

Answers

Answer:

4

Step-by-step explanation:

its four trust me

Answer:

4

Step-by-step explanation:

:)

BONUS QUESTIONS 1. The number of books featured at the local library is shown below: MYSTERY BOOKS: 32 NOVELS: 16 NON-FICTION BOOKS: 12 The library is hosting a book fair that features the mystery books. All the authors discuss the same number of mystery books and each will discuss more than 1 book. How many authors could be featured in the show?​

Answers

Answer:

I don't get the question

Step-by-step explanation:

Identify the parent function.
A. Square root B. Cube root C. Absolute value D. Reciprocals

Answers

The answer is cubic root

The volume of a cube is 1.5 mº. Find the length of its edge to the nearest tenth of a meter.

Answers

Answer:

About 1.1 meters.

Step-by-step explanation:

Hope this helps! :D

Nicole swims 6 times as many laps as Evan. What multiplication equation compares the laps Nicole and Evan swim?

Answers

Answer:

6E

Step-by-step explanation:

If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan

Hope this helps! :D

Select five numbers that have 7, 13, and 3 as prime factors.
А
1,092
B
897
с
2,093
D
819
483
F
1,365
G
273
H
546

Answers

Answer:

ADFGH

Step-by-step explanation:

Good luck on your test!

The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

What is a prime factor?

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.

The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.

Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

To know more about prime factors follow

https://brainly.com/question/1081523

#SPJ2

Write the equation for the horizontal line passing through (3, 4).

Answers

Answer:

equation for a straight horizontal line passing through the coordinates (3,4):

y=4

Step-by-step explanation:

Combine like terms in the expression below.


5c + 6 + 8c - 2

Plz help

Answers

Answer:
13c+6-2

Explanation:
You combine the amount of cs with each other.

plz help me with this

Answers

Answer:

You do it yourself jk There is a positive linearly accending correlation with an increase of 80 products for every increase of 10 employees respectively.y=8(x)+120initial products are the factory and increase per employee

need help fast thank you​

Answers

Answer:

a

Step-by-step explanation:

the answer is a because thats the answer.

Answer:

No it is the second one because:

-    7x => x represents the number of cans to be collected in 7 days

you've already collected 668 cans, and 2000 cans is the target.

2000-668= 1332÷7- 190.30

What expressions can be used to find 1/3 of 12

Answers

Answer:

The answer is this:

1/3*12=4/1=4

The expression can be written as 1/3 × 12 and its value is 4.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The given fraction is 1/3.

And, the number is 12.

Now, the expression to find the 1/3 of the given number can be written using the multiplication operation as,

⇒ 1/3 × 12

Its value can be evaluated as,

⇒ 1/3 × 12 = 4

Hence, the required expression is 1/3 × 12 and its value is 4.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ2

Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spreading of a rumor is similar to the spreading of a contagious disease (see Example 3, Section 1.2) in that the number of people hearing the rumor each day is proportional to the product of the number who have heard the rumor previously and the number who have not heard the rumor. This is given by
rn+1 = rn + 1000krn(1000 ? rn)
where k is a parameter that depends on how fast the rumor spreads and n is the number of days. Assume k = 0.001 and further assume that four people initially have heard rumor. How soon will all 1000 employees have heard the rumor?

Answers

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; [tex]r_{n+1}[/tex] = [tex]r_{n}[/tex] + 1000k[tex]r_{n}[/tex] ( 1000 - [tex]r_{n}[/tex] )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees  will have heard the rumor  ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

so

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 =  7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

   

r3  will be;

r3 = r2 + ( 0.001)r2(1000-r2 )  

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n        rₙ

0        4

1        7.984

2       15.904255744

3       31.555566137

4       62.1153785

5       120.372437

6       226.25535

7       401.319217

8       641.58132

9       871.53605

10     983.497013

11      999.727651

12     999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

 

Easy
5
If 3x + 5y = 15 and x – 2y = 10, what is the value of 2x
+7y?

Answers

Answer:

5

Step-by-step explanation:

dont really understand why you answered your own question?


Put together, Edward and Jamie have 56 total rocks. Jamie's collection has 3 times as many rocks in it as Edward's collection. How many rocks are in Jamie's collection?
How many rocks does Edward have?
Select the person with more rocks: Jamie

Answers

Answer:

How many rocks does Edward have? 14

Select the person with more rocks: Jamie

(Edward: 14, Jamie: 42)

3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9

Answers

Answer:

6

Step to Step:

9x6=54

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.

[tex]9x=54[/tex]

[tex]\div9[/tex]

[tex]54\div9=6[/tex]

[tex]x=6[/tex]

Hope this helps.

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