In order to determine the average commute of college students, a researcher gathers data from a group of 50 students at the local college. This sample yieldied a mean of 14 and a standard deviation of 1.9.

Required:
Construct a 90% confidence interval for the population mean from the provided data.

Answers

Answer 1

Answer:

13.5579875<x<14.44201244

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as:

CI = x+/- z × s/\sqrt{n}

x us the mean = 14

Z is the 90% CI = 1.645

S is the standard deviation = 1.9

n is the sample size = 50

Substitute.

CI = 14+/-1.645×1.9/7.07106.

CI = 14+/-1.645×0.26870057

CI = (14-0.44201244, 14+0.44201244)

CI = 13.5579875, 14.44201244

Hence the required interval is 13.5579875<x<14.44201244


Related Questions

Can someone please help?

Answers

Answer:

The answer is B 93 sq cm

Step-by-step explanation:

In order to find the area, we need to split the figure into two.

Please see the attached image.

Hope this helps :-)

Antoine watches a movie that is 1 hour and 45 minutes long. Which number line
could show when Antoine watches the movie?

Answers

Answer:

I am pretty sure It is the top right corner

Explain why 4 x 3/5 =(4 x 3) 5 = 12/5

Answers

Answer:

---

Step-by-step explanation:

4x3=12 and originally, (4x3) is dividing by 5. So 12/5 makes sense.

---

hope it helps

Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number.
Radius = 4 in., Height = 9 in.
a.
301 cu. in.
b.
226 cu. in.
c.
75 cu. in.
d.
151 cu. in.

Answers

Answer:

D. 151 cu. in.

Step-by-step explanation:

Given: Cone; Radius = 4 in, Height = 9 in.

To find: The volume of the specified cone

Formula: [tex]V=\frac{1}{3} h\pi r^2[/tex]

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume multiply the base area (area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex] : volume = ( [tex]\frac{1}{3}[/tex] ) × π × r² × h.

The earned run average (ERA) a of a baseball pitcher varies directly as the number of earned runs r and inversely as the number of pitched innings p. In one season, a pitcher has an ERA of 2.475 with 80 innings pitched and 22 earned runs. Find the number of earned runs if the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.
Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.

Answers

Answer:

The number of earned runs is 28.

Step-by-step explanation:

Earned runs average:

The earned runs average of a pitcher is the number of runs the he/she gives each 9 innings on average.

Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.

Solved by proportions, using a rule of three.

For each 9 innits, the pitcher gives 2.25 runs. How many runs for 112 innings?

9 innings - 2.25 runs

112 innings - x runs

Applying cross multiplication:

[tex]9x = 2.25*112[/tex]

[tex]x = \frac{2.25*112}{9}[/tex]

[tex]x = 28[/tex]

The number of earned runs is 28.

syd used 17 gallons and 4 cups of paint to repaint his house. how many cups of paint did syd use?

Answers

Answer:

276

Step-by-step explanation:

17 gallons is 272 cups and just add 4 to it hope this helps

Karrie’s mom has these flavors of juice boxes in a cooler. 4 grape 6 fruit 10 orange What is the ratio of the number of grape juice boxes to the total number of juice boxes in the cooler?
A. 1:16
B. 1:5
C. 1:4
D. 1:20

Answers

the answer is b the ratio would be 4:20 but it is simplified, therefor 1:5

The ratio of of distance between two places A and B and B to C is 4:5. If the distance between A to C is 72 km, find the distance between A to B.​

Answers

4x +5x =72
9x =72
x=8
4(8)+ 5(8)= 72
So half of 72 equal 36
So the distance between A to B is 36
Answer 36

One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

4.75 cm3
14.25 cm3
42.75 cm3
128.25 cm3

Answers

Answer:

128.25 cm³

Step-by-step explanation:

Volume of an hexagonal prism:

The volume of an hexagonal prism is given by:

[tex]V = \frac{3\sqrt{3} a^2h}{2}[/tex]

In which a and h are the dimensions.

Triple the dimensions

This means that the volume will be multiplied by 3^3, 27(as there are 3 terms which are dependent of the dimensions, a² and h).

If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

27*4.75 = 128.25 cm³

128.25 cm³ is the answer

Answer:

128.25 cm3

Step-by-step explanation:

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Joseph sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 103 visitors purchased no costume. 161 visitors purchased exactly one costume. 7 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase more than one costume as a decimal to the nearest hundredth.

Answers

The probability that the next person will purchase more than one costume is 0.03

How to solve for the probability

We have the following details to solve the problem with

The people that did not purchase any costume = 103

Those that purchased exactly one costume = 161

Those that purchased more than one costume = 7

The total number of persons that we have here would be

103 + 161 + 7

= 271

We are to find the probability that the next would purchase more than 1 costume.

This is given as:

7 / 271 = 0.0258

To the nearest hundredth = 0.03

Hence, 0.03 is the probability that the next person is going to buy more than one costume.

Read more on probability here:

https://brainly.com/question/24756209

#SPJ1

Answer:

81%

Step-by-step explanation:

27 no costume, 112 exactly one costume, 3 more than one costume.

27+112+3=142

There were a toal of 142 customers. 112+3=115 visitors purchased one or more costumes costumes.

Probability the next visitor will purchase one or more costumes:

115/142=0.809859

0.809859 times 100% = 80.9859%

which rounds to 81%

The probability as a percent to the nearest whole number is 81%

Solve the following system of equations by substitution method. x+2y=5 2x+y=4​

Answers

Answer: x=1 and y=2

Step-by-step explanation:

\frac{-3y}{-3}=\frac{-6}{-3}

10-3y-10=4-10

2\left(5-2y\right)+y=4

X= 1 Y= 2

That should be right

The National Sleep Foundation recommends that teenagers aged 14 to 17 years old get at least 8 hours of sleep
per night for proper health and wellness.
A statistics class at a large high school suspects that students at their school are getting less than 8 hours of
sleep on average. To test their theory, they randomly sample 42 of these students and ask them how many hours
of sleep they get per night. The mean from the sample is 2 = 7.5 hours.
Here's their alternative hypothesis:
H : The average amount of sleep students at their school get per night is...
What is an appropriate ending to their alternative hypothesis?

Answers

Answer:

Less than 8 hours

Step-by-step explanation:

Kahn


Find the volume. Round to the nearest tenth if necessary?

Answers

answer:

v=1282.8 or 1282.82

step-by-step explanation:

v=πr²h/3

=π*7²*25/3

=1282.82

1282.82 (5 or more raise the floor 5 or less let it rest)

=1282.8

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Ross has a plan to increase the number of sit-ups he does by the same percent each
week. The table shows his goal for each week of the plan.
Which expression gives the goal for the 52nd week?

Answers

Answer:

20•2^51

Step-by-step explanation:

The expression that gives the goal for the 52nd week is 20(2)⁵¹.

Week   1      2     3      4      5

Goals  20   40   80   160   320

This means the numbers are goals are increasing geometrically.

What is a geometric progression?

A geometric progression is a series in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio.

We know the nth term of a GP = arⁿ⁻¹

Where a is the first term and r is the common ratio.

In our problem, a=20 and r=40/20=2

So, the 52nd term of the GP = 20(2)⁵²⁻¹

The 52nd term of the GP =20(2)⁵¹

Hence, the expression that gives the goal for the 52nd week is 20(2)⁵¹.

To get more about GP visit:

https://brainly.com/question/12006112

Help me please , help me please​

Answers

QUESTION :

Find x in the given quadrilateral.

X

120°

80°

60°

CHOICES

a. 100°

b. 120°

c. 150°

d. 180°

ANSWER:

[tex]\boxed{\sf A.100} [/tex]

Solution:

[tex]\begin{gathered}\rightarrow\boxed{\sf 120+80+60+x=360 } \\ \rightarrow\boxed{\sf x=360-260 } \\ \rightarrow\boxed{\sf x=\blue1\blue0\blue0 }\end{gathered} [/tex]

To find x in quadrilaterals, Firstly let's say the given quadrilaterals, So the result is 360, then subtract it by 260 maybe when you say 3 numbers it the result is 260.Therefore the answer is 100

#CarryOnLearning

Answer: A 100

Step-by-step explanation:

120+80+60+x=360

x=360-260

x=100

If the value of a in the quadratic function f(x) = ax2 + b3 + cis , the function will:
open down and have a maximum
open down and have a minimum
open up and have a minimum
open up and have a maximum

Answers

If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2, the function will: C. open up and have a minimum.

What is the general form of a quadratic function?

In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;

y = ax² + bx + c

Where:

a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.

Since the leading coefficient (value of a) in the given quadratic function  f(x) = ax² + bx + c is positive 1/2, we can logically deduce that the parabola would open upward. Also, the value of the quadratic function f(x) would be minimum.

Read more on quadratic functions here: brainly.com/question/29499209

#SPJ1

Complete Question:

If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2, the function will:

open down and have a maximum

open down and have a minimum

open up and have a minimum

open up and have a maximum

Help please i need ASAP

Answers

Answer- G, 150%

Why: I literally just looked it up...
:)

Answer:

H

Step-by-step explanation:

35,000 *2.50=87,500

What percent of 60 is 79?

Answers

Answer:

75.949367088608%

Step-by-step explanation:

Answer:

79 is 131.66% of 60

Step-by-step explanation:

A fifteen-passenger van is rented for a family vacation. The van rental is $60 per day,
plus a $145 insurance fee. How many days can the van be rented if they want to spend no
more than $625 on the rental? Write and solve an inequality, let “d” represent days.

Answers

Answer:

3d

Step-by-step explanation:

$60 + $145 = $205

$205 x 3 = $615

3D is the answer I agree with the other person I am right

Someone help I really need help

Answers

Answer:

D

Step-by-step explanation:

its D because its saying what is greater or equal to 8 so the arrow is pointing to what larger and the it isn't negative 8 so it wouldn't pass the 0 so it would be D

Answer:

A. x[tex]\leq[/tex] -3

Step-by-step explanation:

the selling price of an item is $480. After 6 months of not selling, it is marked down by 30% After another 6 months of not selling, it is further marked down by 20%. Find the sale price after both markdowns

Answers

Answer:

1st markdown 480-30% = $336

2nd markdown 336-20% = $268.8

Step-by-step explanation:

Ariel receives $48 for working a full day doing inventory at a hardware store. How much can she get for working 4/8
of a day?


Answers

Answer:

24 dollars its easyyyyyyyyyyyy

Step-by-step explanation:

Find the exact value of tan 75 degrees.

Answers

Answer:

3.73205080757 or 3.7

Step-by-step explanation:

Answer:

2+√3 or 3.73

Please mark brainliest

Help please !!! Need help

Answers

Answer:

234

Step-by-step explanation:

From the given information :

The 4th term, a4

a1 = 3

a2 = 4(a1) + 2

a2 = 4(3) + 2 = 14

a3 = 4(a2) + 2

a3 = 4(14) + 2

a3 = 58

a4 = 4a3 + 2

a4 = 4(58) + 2

a4 = 232 + 2

a4 = 234

Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.
Part A

Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.

Answers

Answer: pls answer

Step-by-step explanation:

Answer:60 divided by 7 =8.5

21. Find the volume of the figure below.
26.5 yd
A. 2,557.51 yd
B. 2,383.79 yd3
C. 2,109.25 yd
D. 2,792.39 yd
9.6 yd

Answers

Answer:

b 2,557.51

Step-by-step explanation:

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

Answers

yes period ……….. lol

ah yes periods. are you on your period right about now?

what if its "greater than 9"

Answers

Answer:

its gotaa be a number thats atleast 10

Step-by-step explanation:

Answer: #’s 10 or above will work

Color
Number of Times Landed
6
Red
5
Yellow
Blue
Andrew picks one marble at a time from a box and replaces it. He
repeats this process 25 times and records the results in the table. Based
on the table, which color marble has an experimental probability of 1/5?
4
Green
10

Answers

Answer:

Yellow.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. Experimental probability is found taking into account previous experiments.

In this question:

6 + 5 + 4 + 10 = 25 total marbles.

The experimental probabilities are:

6/25 probability it is red.

5/25 = 1/5 probability it is yellow. Thus, the answer is yellow.

4/25 probability it is blue.

10/25 = 2/5 probability it is green.

Pls help I need a good grade

Answers

Answer:

A) 6.25x+7.50=26.25

Step-by-step explanation:

To find how much she payed for every round she played (woah that rhymed) you multiply 6.25 by the amount of rounds she played, which is x.

That's where we get 6.25x

7.50 is the base cost, so she will pay that much regardless of how much she played.

26.25 is the total amount of money spent. The admition cost and how much she spent on playing ads up to her total cost

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