1. The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the

population follows a normal distribution, construct a 90% confidence interval estimate of the

mean of the population.

Answers

Answer 1

Answer:

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.761

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.761\frac{345}{\sqrt{15}} = 157[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6784 - 157 = 6627

The upper end of the interval is the sample mean added to M. So it is 6784 + 157 = 6941

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.


Related Questions

A line has a slope of 2/3 and passes through the point (6,11)

Answers

Answer:

y=2/3x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-11=2/3(x-6)

y=2/3x-12/3+11

y=2/3x-4+11

y=2/3x+7

Hey!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

B. 8/17

Step-by-step explanation:

cos = adjacent / hypotenuse

cos C = 16/34 = 8/17

Correct choice is B

A coin is tossed 4 times. Find the probability that a maximum of one head (exactly one head or no head) turns up.



(A) 0.375 (B) 0.25 (C) 0.50 (D) 0.0625 (E) 0.3125

Answers


I would go with answer D
Every flip is a 50/50 so ever 2 would be .25 then multiply that by 2 for 4 flips and it gives you 0.0625

Does anyone know????????

Answers

Answer:

1) -3/2

Step-by-step explanation:

The common ratio is the amount you multiply by to get to the next number in the sequence. To calculate this you will need to divide the term by its preceding term.

For example (3/4) / (-1/2)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (3/4) x (-2/1) = -3/2

Check this by doing the next term (-9/8) / (3/4)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (-9/8) x (4/3) = -3/2

Given below are descriptions of two lines.

Line 1: Goes through
(

5
,

9
)
and
(
12
,
42
)


Line 2: Goes through
(

9
,
6
)
and
(

3
,
4
)


The slope of Line 1 is
m
=



The slope of Line 2 is
m
=



Finally, which of the following is true?
Line 1 is parallel to Line 2.
Line 1 is perpendicular to Line 2
Line 1 is neither parallel nor perpendicular to Line 2

Answers

Answer:

Yes

Step-by-step explanation:

The degree measure of an angle in a right triangle is x, and sin x = 0.354, which of the following expressions is also equal to 0.354?

Answers

What are the expressions?

Answer:

cos(90° -x), cos(45° -x), cos(x), and cos(x- 45°) that's how mine looks like anyways

Step-by-step explanation:

I will give out 40 points for the four answers but if you just take the points and don't answer properly I will report you

Answers

Answer:

A:-3<x<13

B:-3=<x=<13

C:-3=<x<13

D:-3<x=<13

Step-by-step explanation:

Ok, first lets do A

-3 and -13 and the endpoints and the dots are hollow so its not including

therefore the answer is -3<x<13

next, B

same endpoint this time but both dots are filled in so they are included

therefore: -3=<x=<13

(I'm typing on a keyboard!!! i can't do the fancy symbols lol)

C

same endpoints again but -3 is black and 13 is not

so: -3=<x<13

D

I think you have got the hang of it now probaly

-3 is not filled and 13 is

answer is -3<x=<13

Hope this helps :)

Miguel is driving his motorboat across a river. The speed of the boat in still water is 13 mi/h. The river flows directly south at 5 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? (Not drawn to scale)


a. 21 mi/h; 13.9 north of west
b. 13.9 mi/h; 21 south of west
c. 13.9 mi/h; 21 north of west
d. 21 mi/h; 13.9 south of west

Answers

Answer: B

Step-by-step explanation:

13.9 mi/h; 21 south of west

Answer it. -10 x -2 =

Answers

The answer to -10 x -2 is 20

Answer: 20

Step-by-step explanation: it is 20 because 2 negative numbers multiplied by each other will always be positive

i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks

Answers

81+54x because 9 *9 = 81 and 9*6 is 54 and add the x to it and put it all together.

to give someone a crown there has to be 2 answers and it will show up and you can mark the brainliest. you’re welcome :))

The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer.

Answers

Answer:

[tex]\boxed {\boxed {\sf 48 \ meters }}[/tex]

Step-by-step explanation:

The perimeter is the sum of the side lengths.

A rectangle has 4 sides: 2 lengths and 2 widths, so the perimeter formula is

[tex]p= 2l+2w[/tex]

The length is 20 meters and the width is 4 meters.

[tex]p= 2(20 \ m )+ 2(4 \ m )[/tex]

Multiply.

[tex]p= 40 \ m + 8 \ m[/tex]

Add.

[tex]p= 48 m[/tex]

The perimeter of the rectangle is 48 meters.

5a+12b+30c ; a=3, b=2, and c=1 evaluate the expression for the given value of the variable.

Answers

Answer:

69

Step-by-step explanation:

5a+12b+30c

5(3)+12(2)+30(1)

15+24+30

39+30

69

Hoped this helps!

Which is equivalent to P(z ≥ 1.4)?

Answers

Answer:

1-P(z<1.4)

Step-by-step explanation:

Trust me the answer is 1-P(z<1.4).

BTW the thing between 1 and P is a minus sign

Answer:

B. 1-P(z<1.4)

8%

B. 26%

Step-by-step explanation:

ABCDE~GHJDF. complete the statements

i figured out a. is angle B but i cant figure out statement 2 pls help!!!!​

Answers

Answer:

DC

Step-by-step explanation:

If you consider that we're looking at the same shape at two different scales, then we can simply look at which sides correlate with one another.

In the smaller shape, GH is in the same place as AB in the bigger one.

Similarly, the smaller shape has DJ in the same place that the larger one has DC.  This means that dC is the answer to question b.

(2+5x)9= combine like terms

Answers

Answer:

18+45x

Step-by-step explanation:

Declan's goal is to score 90% on the upcoming science test. If there are 50 questions on the test, how many does he need to answer correctly?​

Answers

Answer:

45

Step-by-step explanation:

Can someone help me on this one

Answers

Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

Compare the fractions using the LCM.
3/5 and 1/4​

Answers

Answer:

20

Step-by-step explanation:

You are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this observation, you conclude that there is a _______ between the temperature and hot beverage sales at this coffee shop. Group of answer choices negative relationship curvilinear relationship no relationship positive relationship

Answers

Answer:

negative relationship.

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Cause and effect can be defined as the relationship between two things or events in which an occurrence one (cause) leads to the occurrence of another (effect).

A negative relationship or correlation can be defined as the relationship between two variables in which there exist an inverse relationship between them i.e as one variable increases, the other decreases and vice-versa.

In this scenario, you are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this observation, you conclude that there is a negative relationship between the temperature and hot beverage sales at this coffee shop because for the temperature to get colder it would decrease and for the hot beverages to be hot, its temperature must be increased.

A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut?​

Answers

Answer:

$ because there are 4ft cut into one foot each equals 4

Step-by-step explanation:

can someone send me a random receipt you have you gotten recently. it can be anything at all pls​

Answers

is this for fetch rewards

Can someone help please

Answers

Answer:right scalene

Step-by-step explanation:

5 times 4 times 2 times 2 divided by 2 minus 4​

Answers

Answer:

36

Step-by-step explanation:

5 x 4 = 20

20 x 2 = 40

40 x 2 = 80

80 ÷ 2 = 40

40 - 4 = 36

What is the range of the shoe sizes?

Answers

Answer:

The answer will be 9 and the frequency will be 18

Pls help i really need this​

Answers

Answer:

5/7

Step-by-step explanation:

take the basic fact 5 - 3

Answer:

5/7

Step-by-step explanation:

3/7+2/7=5/7

5/7-3/7=2/7

Find the area of the parallelogram. Round to the nearest hundredth if necessary.
6 m
8 m
cm2
Area =

Answers

/// 48 cm is the area

The area of the parallelogram willl be equal to 48 square meters.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The parallelogram occupied by the parallelogram in a two-dimensional plane is called as the area of the parallelogram .

Given that:-

Height = 6 mBase = 8 m

The area will be calculated as:-

Area = Height  x Base

Area = 6  x  8

Area = 48 square meters.

Therefore the area of the parallelogram willl be equal to 48 square meters.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2

Solve the exponential equation.

(½)x = 32

-5
1/5
-1/5

Answers

Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Answer:Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Step-by-step explanation:

Lin went hiking on five different weekends. The table shows the
elevation changes in feet for each of her five hikes. Fill in the
missing numbers
Initial Elevation
Elevation Change Final Elevation
hike
768
1
-96
672
hike
2
82
20
hike
62
3
- 100
hike
354
4
129
hike
-20
-40
-60
5
Explain what each of the numbers-20, -40, and -60 tells you about
hike 5. What does it mean for the numbers to be negative in this
situation?

Answers

Answer:

Hike 1 : 768, -96, 672

Hike 2: -62, 82, 20

Hike 3: 62, -100, -38

Hike 4: 354, -225, 129

Hike 5: -20, -40, -60

The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.

Negative numbers in the present circumstance mean under 0. (Underneath surface region)

10

Gary, Nancy, and Jamal are trying to write an inequality where all values in the set of numbers below make the inequality true.

{0, 1, 3, 4, 6, 12}

Consider their inequalities.

Gary: 6 > 0.50

Nancy: 30 -t < 18

Jamal: 12
Which student(s) wrote an inequality that is true for all values in the set of numbers? Select your answer from the drop-down list

Only Gary as the

Only Gary

Only Nancy

Only Jamal

Only Gary and

Nancy

Only Gary and

Jamal

Only Nancy and

Jamal

Answers

Answer:

Jamal's inequality is correct

Step-by-step explanation:

Given

[tex]Sets:\{0,1,3,4,6,12\}[/tex]

Gary: [tex]6>0.5t[/tex]

Nancy: [tex]30 -t \le 18[/tex]

Jamal: [tex]12 \le t+12[/tex]

Required

Which of the inequalities is/are true

Gary: [tex]6>0.5t[/tex]

[tex]6>0.5t[/tex]

Divide both sides by 0.5

[tex]\frac{6}{0.5} > \frac{0.5t}{0.5}[/tex]

[tex]12 > t[/tex]

Rewrite as:

[tex]t < 12[/tex]

Gary's inequality is false because: [tex]12 = 12[/tex]

Nancy: [tex]30 -t \le 18[/tex]

[tex]30 -t \le 18[/tex]

Collect like terms

[tex]-t \le 18 - 30[/tex]

[tex]-t \le -12[/tex]

Divide both sides by -1

[tex]t \ge 12[/tex]

Nancy's inequality is incorrect because: 0,1,3,4 and 6 are less than 12

Jamal: [tex]12 \le t+12[/tex]

[tex]12 \le t+12[/tex]

[tex]12 - 12 \le t[/tex]

[tex]0 \le t[/tex]

Rewrite as:

[tex]t \ge 0[/tex]

Jamal's inequality is correct because: 0,1,3,4,6 and 12 [tex]\ge 0[/tex]

HELP PLEASE DUE IN 4 MINUTES

Answers

the mode of data is 4 hours i think
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