1. The Registrars office would like to estimate the average commute time and determine a 95% confidence interval for the average commute time of evening University of Pittsburgh students from their usual initial starting point to campus. A member of the staff randomly chooses a parking lot and selects the first 100 evening students who park in the chosen lot starting at 5:00 PM. The confidence interval is: a. Not meaningful because of the lack of random sampling. b. Meaningful because the sample size exceeds 30 and the central limit theorem ensures normality of the sampling distribution of the sample mean. c. Not meaningful because the sampling distribution of the sample mean is probably not normal. d. Meaningful because the sample is representative of the population.

Answers

Answer 1

Answer:

b. Meaningful because the sample size exceeds 30 and the central limit theorem ensures normality of the sampling distribution of the sample mean.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Sample of 100, which means that the central limit theorem applies, no matter the distribution of the population. So the correct answer is given by option b.


Related Questions

Sandra is traveling 15 mph on her bicycle. After 3 hours, how far will she have traveled?
A.
16 miles
ОВ.
4 miles
C.
46 miles
D.
45 miles

Answers

Answer: D. 45

Step-by-step explanation:

15 mph

3 hours

15 x 3 = 45 miles

What is the area?
30
32 in

Answers

Step-by-step explanation:

Here's your solution

=> Base = 32 In

=> Height = 30 in

=> Area of traingle = 1/2*base *height

=> putting the value of base and height in formula

=> Area = 1/2*30*32

=> Area = 480 in sq

hope it helps

What is the population in 2020 of a place that has a population of 4 million people in 2011 and is growing at a rate of 1.3%?

Answers

Answer:

370 million

Step-by-step explanation:

In the 10 years from 2000 to 2010, the population was multiplied by the factor ...

100% + 9.6% = 109.6% = 1.096

In the next 20 years from 2010 to 2030, the population will be multiplied by that factor twice, if it grows at the same rate:

2030 population = (308 million)·(1.096²) ≈ 370 million

Reasoning : Why is the numerator greater than

the denominator in a fraction that is equivalent

to a percent greater than 100?

Answers

Answer:

See the explanation

Step-by-step explanation:

When the numerator is less than the denominator, the result is always less than 1, that is 0. something and this will give a percentage less than 100, but when the numerator is greater than the denominator, th result is greater than 1, and any figure greater than 1 gives a percentage that is greater than 100

example

Numerator >Denominator

=4/2*100

=2*100

=200%

Numerator <Denominator

=2/4*100

=0/5*100

=50%

What is the surface area of this triangular pyramid?
___square inches

Answers

Answer:

Surface area = 10.7 in.²

Step-by-step explanation:

Surface Area of triangular pyramid = BA + P*L

Base Area (BA) = ½*nh

b = 2 in.

h = 1.7 in.

BA = ½*2*1.7 = 1.7 in.²

Perimeter (P) = 2 + 2 + 2 = 6 in.

Slant height (L) = 3 in.

Plug in the values

Surface Area = 1.7 + ½*6*3

Surface area = 10.7 in.²

How many days is 1,000 hours?​

Answers

Answer:

41.6666667 or 41 2/3 days

Step-by-step explanation:

There are 24 hours in a day. So you need to divide the hours by 24.

1000/24 is 41 and 2/3 days

Answer:

41.666667

Explanation:

Divide by 24 because 1 day is 24 hours

1000 / 24 = 41.666667

Helllllllpppppp pls help me

Answers

Answer:

there you go!! it's correct dont worry

Helpppppppppppppppppppppppppppppppp!!!!!!!!!!!!!

Answers

Answer:

I need the questions, for this graph, or at least the numbers

Step-by-step explanation:

20. Find the equation of the straight line bisercting the line joining the points (3,4) and(5,6) if it
slope is 2​

Answers

Answer:

pretty sure the answer is  x - y - 1 = 0

(URGENT) Worth all my points 7.3

Answers

Answer:

Step-by-step explanation:

I'll assume that all the angles are 90°, and there is no bottom to the box.

To determine the wood needed, calculate the surface area of the bed. Since there is no bottom or top to the box, the amount of wood is 2(45 in × 21 in) + 2(22 in × 21 in) = 1890 in² + 924 in² = 2814 in²

To determine the soil needed, calculate the volume of the box.

volume = 45 in × 21 in × 22 in = 20,790 in³

Can Yall help with the question

Answers

Answer:

A. Transform Boundary

Step-by-step explanation:

Transform boundaries are places where plates slide sideways past each other

Divergent Boundaries occur  when two tectonic plates move away from each other

Convergent Boundaries are when both the plates collide into each other

Subduction boundaries are when one plate bends and slides underneath the other curving down into the mantle

Hope this helps dude

Answer: no learn it urseld caca haha

Step-by-step explanation:

Can someone help me with this ?

Answers

Answer:

Bughghgg7guhih

Step-by-step explanation:

Which of the following functions has the same horizontal asymptote as the function graphed below?

Answers

Answer:

In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.

Step-by-step explanation:

2/10 convert to a decimal​

Answers

Answer:

0.2 is the answer

-your welcome and have a great day!!

on the grid, which point is located in the quadrant where the x-coordinate is a negative number and the y- coordinate is a positive number¿​

Answers

Answer:

b

Step-by-step explanation:

because if you look at it the x-coordinate is -6 and the y-coordinate is positive 4

I need help what is 1+1 I've been on this for TWO hours...

Answers

Answer:

the answer is 2

Step-by-step explanation:

sorry if this is wrong

Parker needs to order some new supplies for the restaurant where he works. The restaurant needs at least 367 glasses. There are currently 151 glasses. If each set on sale contains 8 glasses, use the drop-down menu below to write an inequality representing ss, the number of sets of glasses Parker should buy.

Answers

Answer:

151+8x>_367

Step-by-step explanation:

x=sets of glasses.

151+8x>_367

          ^is greater than equal to i dont

have a sign for that.

What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, ...
-6
-4
ООО
4
о в

Answers

Let be a1 = 8 and a2 = 8 [ From question ]

We have to find out common differences which denoted by letter d .

d = a2 - a1 [ Formula ]

= 8 - 2

= 6

Thus,the common difference between successive terms in the sequence is 6 .

Answer:

6.

Step-by-step explanation:

We have to find out common differences which denoted by letter d .

d = a2 - a1 [ Formula ]

= 8 - 2

= 6

Also,

2+6=8 +6=14 +6=20 +6=26

So, It's Added Up By 6.

Is 2/3 and 6/10 equivalent or non-equivalent​

Answers

Answer:

not

Step-by-step explanation:

Answer:

non-equivalent

Step-by-step explanation:

the equivalend fraction of [tex]\frac{2}{3}[/tex] is [tex]\frac{6}{9}[/tex] not [tex]\frac{6}{10}[/tex]

Sophie can type 128 words in three minutes how many minutes will it take her to type 576 words?

Answers

Answer:

13 minutes and 30 seconds

Step-by-step explanation:

Okay so first you would divide 128 by 576. But since it takes her 3 minutes just to type 128 words you have to multiply 4.5 times 3. It will take her 13.5 minutes to type 576 words or 13 minutes and 30 seconds.

ANSWER PLEASE I BEG YOUUUUUUUUU

Answers

b a trapezoid. two aides aren’t parallel. on a rhombus all sides aren’t parallel and in c or d they’re all parallel

Answer:

A

cant be b, c and d cause its not parallel

(1/4)^3
pls help me im at home and dont know this lol

Answers

The answer is 1/64
Basically you’re multiplying everything in the parentheses 3 times. So 1^3=1 & 4^3=64. Which makes it 1/64.

Romell receives five points for each correct answer on a

test and loses two point for each incorrect

answer.

a. Write an equation showing that Reggie received 30 points.

6x = 30

b. Write an equation showing that Reggie answered all 35 questions on the

test.

Answers

Answer:

5x - 2y = 30

x + y = 35

Step-by-step explanation:

Number of correct answers = x

Number of incorrect answers = y

Points won per correct answer = 5

Points lost per incorrect answer = 2

If Reggie received 30 points :

Required equation :

(points won per correct answer * number of correct answers) + (points lost per incorrect answer * number of incorrect answers)

5x + (-2y) = 30

5x - 2y = 30

Equation showing that Reggie answer all 35 questions :

Number of correct answers + number of incorrect answers = 35

x + y = 35

Need help please ! Very confused

Answers

Answer:

it what u need

Step-by-step explanation:

ok


X1 + X2 =-8
3X1 +2X2 = 18​

Answers

Answer:

X1 = 34

X2 = -42

Step-by-step explanation:

Given the simultaneous equations

X1 + X2 =-8 .... 1 * 3

3X1 +2X2 = 18​ .... 2 * 1

______________________

3X1 + 3X2 = -24

3X1 +2X2 = 18​

Subtract

3X2 - 2X2 =-24 - 18

X2 = -42

Substitute X2 = -42 into 1

X1 + X2 = -8

X1 - 42 = -8

X1 = -8+42

X1 = 34

Hence the solution to the system of equation is (34, -42)

Which color is the line that represents an equivalent ratio? How can you tell by looking at the lines?
A)
blue; The graph is a vertical line.
B)
orange; The graph is a horizontal line.
C)
pink; The graph of the pink line passes through the origin.
D)
green; The graph of the green line intercepts the y-axis at a point other
than (0,0)

Answers

I cant answer if i cant see the graph sorry

Answer:

its C

Step-by-step explanation:

The village has a population of 12,999. What is the population
rounded to the nearest thousand?

Answers

Answer:

13,000

Step-by-step explanation: please mark brainliest

What is the solution to this addition sentence?

3/4 + (-1/2) = _____

Answers

Answer:

1/4

Step-by-step explanation:

-1/2 in to -2/4

3/4+(-2/4)=1/4

The answer is 1/4th
I guess so

What is the sum of the rational expressions 2x+7/x+5+x-3/x+5
A 3x+10/x+5
B 3x+10/2x+10
C 3x+4/x+5
D3x+4/2x+10

Answers

Answer:

=3x+{4}{x}+10

Step-by-step explanation:

The sum of the rational expression is =3x+{4}{x}+10

A cylinder has a diameter of 6 cm and a height of 20 cm what is the volume?

Answers

Step-by-step explanation:

V = pi r2 h

22/7 × (6/2)^2 × 20

565.71 cm3

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