Suppose number of hours employees work in a week at a company are normally distributed with an unknown population mean and a population standard deviation of 2 hours. A random sample of 65 employees weekly hours is taken. These gave a sample mean time of 39 hours. Find the error bound (EBM) of the confidence interval with a 95% confidence level. A 2 by 5 z-table.

Answers

Answer 1

Answer:

0.49

Step-by-step explanation:

We can use the formula to find the error bound:

EBM=(zα/2)(σ/√n)

We know that σ=2 and n=65. We are also given that the confidence level (CL) is 95%, or 0.95. So, we can calculate alpha (α).

α=1−CL

=1−0.95

=0.05

Since α=0.05, we know that α2=0.05/2=0.025. The value of z0.025 is 1.960.

Now we can substitute the values into the formula to find the error bound.

EBM=(zα/2)(σ/√n)

=(1.960)(2/√65)

≈(1.960)(0.248)

≈0.49

So, the error bound (EBM) is 0.49.


Related Questions

how to graph a line with slope 2 passing through the point (2, -1)​

Answers

First, plot a point on (2, -1). This point is going to be in the fourth quadrant, since it is going to be at 2 = x and -1 = y. You know that there is a slope of 2, so you should follow the rule of “rise over run”. This means that the slope should be seen as a fraction, where the numerator is the rise (along the y axis), and the denominator is the run (along the x axis). The slope of 2/1 tells you to move two points up from (2, -1), and to the right 1 point. Then make a new dot at this new destination, (3, 1). Now move two units up from this new point, and one to the right, to find a third point, (4, 3). You need three points to correctly show a line. Draw a line through these three points, and you have your graph.

A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? Use the metric table to help answer the question.

Metric Table
kilo- 1,000 hecto- 100 deka- 10 unit 1 deci- 0.1 centi- 0.01 milli- 0.001
o 1,021 decigrams
o 10,210 decigrams
o 102,100 decigrams
0 1,021,000 decigrams

Hurry please i need help.

Answers

Answer:

  102,100 decigrams

Step-by-step explanation:

  (564 dag + 458 dag) = 1021 dag

  1021 dag × 100 dg/dag = 102100 dg

The two cases together weigh 102,100 decigrams.

_____

1 dag = 10 g

1 dg = 0.1 g

Answer:

102,100 decigrams.

Step-by-step explanation:

Ummm this is prolly the last time tehe

Answers

Answer:

1. 25% increase

2. 90% decrease well you get 8.4 but that's the closest

3. 71% increase

4. 20% decrease

5. 75% decrease

6. 150% increase

Step-by-step explanation:

3x + 5 = 20 - 2x
I need sum help

Answers

x=3

Hope this helps!! <3

Answer:

18x

Step-by-step explanation:

What is the value of the 7in the following number? 2,104.47

Answers

Answer:

7 hundredth is the value of 7 in the question

1m-23=1+4m Please help

Answers

Answer:

m= -8

Step-by-step explanation:

Answer:

m=-8

Step-by-step explanation:

Hope this helps :)

Answer all ten questions for tons of points. Please don’t take forever

Answers

Answer:

Hey looks like you did'nt post the question

msg me below and ill try to help you

What is 837 divided by 36?

Answers

837 divided by 36 is 23.25 :)

Answer:

23.25 you will just divide it

Step-by-step explanation:

A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period.

Single Policyholders Married Policyholders
n1 = 900 n2 = 400
Number making claims = 135 Number making claims = 24

Required:
a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
b. Provide a 95% confidence interval for the difference between the proportions for the two populations.

Answers

Answer:

Step-by-step explanation:

Given the following :

Single policy holders (n1) = 900

Number making claims (x1) = 135

Married Policy holders (n2) = 400

Number making claims (x2) = 24

α = 0.05

a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.

Null: p1 - p2 = 0

Alternative : p1 - p2 ≠ 0

p = (n1p1 + n2p2) / n1 + n2 ;

p1 = x1/n1 = 135 / 900 = 0.15

p2 = x2/n2 = 24 / 400 = 0.06

p = (900*0.15 + 400*0.06) / (900 + 400)

p = 0.1223076

Test statistic (z):

(p1 - p2) / √p(1-p)(1/n1 + 1/n2)

(0.15 - 0.06) / √0.12231(1-0.12231)(1/900 + 1/400)

= 4.5710979

Decision:

Reject Null if P < α

Obtaining p value from z score using calculator :

P value = 0.0001

0.0001 < 0.05

Hence,

Reject Null

Quick I need help.....

Answers

the third one x>_ -4

Answer:

C

Step-by-step explanation:

Subtract both sides by 2

2-2 is 0

-10 - 2 is 12

-3x < 12

Divide both sides by -3

Switch signs cause dividing a negative

x > -4

HELLLLLLLLPPPPPPPPPPPP!!!!!!

Answers

Answer:

3 bars of soap and 2 toothbrushes.

Step-by-step explanation:

Jack and Jillian sell apples at a produce stand. Jillian earns $2 for each bag of apples she sells. At the end of the week, Jack has earned $8 less than Jillian. The following expression shows Jack's earnings:

2x − 8

In the expression, what does the first term represent?

Answers

Answer:

2(x-4)

Step-by-step explanation:

it's the only thing i could think of, or its one

Answer:

Jillian's earnings at the end of the week

what if f(0)?
12 only
2 and 3 only
-2,-1,1 and 2 only
-2,-1,1,2 and 12

Answers

Answer:

12 only

Step-by-step explanation:

I did the test

1. Lori drove 141 miles in 3 hours. What was Lori’s average rate of speed?

Answers

Answer:

47 miles per hour

Step-by-step explanation:

The average rate of speed is the miles divided by the hours

141 miles / 3 hours

47 miles per hour

Answer:

47

Step-by-step explanation:

141 / 3

A basketball player scored 30 times during one game. she scored total of 50 points, two for each two point shot and one for each free throw. How many two point shots did she make? How many free throws

Answers

Answer:

it is 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The length of a rectangle is 2 less than two times the width. Perimeter is 42. Find the length and the width.

Answers

Answer:

Hi there

Your answer is

width= 5.75

length= 9.5

Step-by-step explanation:

L=2w-2

P=42

Perimeter formula

L+L+W+W=P

(2w-2)+(2w-2)+w+w=42

8w-4=42

+4

8w=46

/8

w= 5.75

Plug in width in length formula!

L=2w-2

L=2(5.75)-2

L=9.5

Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi.
Choose the decimal that is equivalent to this fraction.
A. 0.1
B. 0.11
C. 0.111111…
D. 0.212121…

Answers

Answer:

i think it would be A

Step-by-step explanation:

Jonas has 20 coins, all nickels and dimes. The total value is $1.25. If n represents the number of nickels, which algebraic equation represents this situation?
A. 20n = 125
B. 5n = 1.25
C. 5n + 10(20 - n) = 125
D. 5n + 10n - 20 = 125

Answers

Answer:

a

Step-by-step explanation:

eight children share two pies equally. how many pies will each child get?

Answers

Answer:

Each child will get 1/4 of a pie

Step-by-step explanation:

Two dice are tossed. The probability that the total score is a prime number is:​

Answers

Step-by-step explanation:

50/50 it's random I think but I learned that in science

50/50 because there are 3 prime numbers and 3 composite numbers on a dice

True or False: The Sine Function, y=sin(2), has a Horizontal Asymptote.
True
O False

Answers

Answer:

true

Step-by-step explanation:

An ordered pair is written as:
(domain, range)
(range, domain)

Answers

Answer:

the answer is (domain, range) or (x,y)

An ordered pair is written as, (domain, range). So Option A is correct

What is Domain and Range ?

The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable).

The range of a function is the set of all possible output values of the function. It represents the set of all possible values of the dependent variable.

The set of all "x" values constitutes the domain, and the set of all "y" values constitutes the range, in a set of ordered pairs.

You should keep in mind that ordered pairs are represented by the following symbols: (x, y).

Find the domain when examining a collection of ordered pairs by compiling a list of all the relation's x values.

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Ada had $42 to spend on a binder and 11 spiral notebooks. The binder cost $9 what was the price of each spiral notebook?

Answers

the price for each one was 3 dollars :)
9 + 11x = 42
subtract 9 from each side
11x = 33
divide by 11
x = 3
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The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75+0.10x, where x is the number of years since 1980.

Which part of the expression corresponds to the cost of movie tickets in 1980?

Answers

Answer:

2.75

Step-by-step explanation:

0.10 represents the rate at which prices have increased since 1980..

2.75 represents the price in 1980

This can be confirmed by inputting 0 as the value of x.

2.75+0.10(0) = 2.75

decrease of 65% is the same as multiplying by what
percent?

Answers

Answer:

35%

Step-by-step explanation:

A decrease of 65% would be the same as multiplying the value by 35%.

100% - 65% = 35%

Let's use an example.

You have $150 dollars in stock and it decreases by 65%

150 - (.65*150) =

150 - 97.5 = $52.50

Now let's just multiply $150 by .35 (which is 35%)

150 * .35 = $52.50

It's the same!

Helllllllllllllp meeeeeeee I’m an idiotttttt

Answers

Answer:

3(4 + 3x)

distribute the 3 into both numbers

3*4

3*3x

9x +12

Step-by-step explanation:

The length of a rectangle is three times its width. if the perimeter of the rectangle is 48 yd, find its area.

Answers

Answer:

all the sides multiplies should equal 48

Step-by-step explanation:

sorry I don't know

The rectangle will have a 432 yd² area.

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, The length of a rectangle is three times its width. if the perimeter of the rectangle is 48 yd

Let "l " be the length of the rectangle

thus, the width of the rectangle = l/3

Since the Perimeter of the rectangle  = 48 yd

From the general formula of the Perimeter of the rectangle:

perimeter = 2*(length + width)

In our case

Perimeter = 2*( l + l/3)

Perimeter = 2*(2l/3)

Perimeter = 4L/3

Thus,

4L/3 = 48

L = 36 yd

So width = 36 /3 = 12

Since the area of the rectangle = length * width

Area = 12 * 36

Area = 432

therefore, the area of the rectangle will be 432 yd².

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7.86÷0.2
I need you to answer with step by step explaination

Answers

1. Moved the decimal on both sides
2. The equation became 78.6/2
3. Divided 7/2, got 3
4. Divided 8/2, got 9
5. Put the decimal point on the preferred spot
6. Divide 6/2, got 3
7. 78.6/2 equals 39.3

select the correct answer from each drop-down menu.

The decibel level of a normal conversation, which has an intensity of 3.2x10-6 watts/m2, is (ANSWER1) dB. If the decibel level goes up to

80, the intensity of the sound will be

(ANSWER2) watts/m2

B = 10103(t.), where is the sound level in decibels, is the intensity of sound you are measuring, and I is the

Use the formula

smallest sound intensity that can be heard by the human ear (roughly equal to 1x10-12 watts/m2).

Answers

Answer:

The intensity of sound in decibel is 65 dB

The intensity of sound in Watts/m² is 1 x 10⁻⁴ W/m²

Step-by-step explanation:

The intensity of sound in decibel is given by;

[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\[/tex]

where;

I₀ is the smallest sound intensity that can be heard by the human ear = 1 x 10⁻¹² watts/m²

[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\\beta (dB) = 10Log(\frac{3.2*10^{-6}}{1*10^{-12}})\\\\\beta (dB) = 65.05 \ dB[/tex]

= 65 dB

If the decibel level goes up to 80 dB, the intensity in W/m² is given by;

[tex]\beta (dB) = 10Log(\frac{I}{I_o} )\\\\80 = 10Log(\frac{I}{I_o} )\\\\8 =Log (\frac{I}{I_o} )\\\\10^8 = \frac{I}{I_o} \\\\I = I_o *10^8\\\\I = 1*10^{-12}*10^8\\\\I = 1*10^{-4} \ W/m^2[/tex]

rounded to the nearest thousandth, the number 0.0000741

Answers

Answer:

.000

Step-by-step explanation:

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