An important problem in industry is shipment damage. A pottery producing company ships its product by truck and determines that it can meet its profit expectations if, on average, the number of damaged items per truckload is fewer than 11. A random sample of 19 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.49. Select a 95% confidence interval for the true mean of damaged items.

Answers

Answer 1

Answer:

The 95% confidence interval for the mean is approximately;

(9.063, 9.737)

Step-by-step explanation:

The given parameters are;

The mean of the sample, [tex]\overline x[/tex] = 9.4

The sample variance, s² = 0.49

The sample size, n = 19

The confidence level = 95%

Therefore, we get;

[tex]CI=\bar{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}[/tex]

The degrees of freedom, df = n - 1

∴ df = 19 - 1 = 18

From the t-table, the critical-t = 2.101

Therefore, we have;

[tex]CI=9.4\pm 2.101 \times \dfrac{\sqrt{0.49} }{\sqrt{19}}[/tex]

Therefore, we have;

9.4 - 2.101×√(0.49/19) < μ < 9.4 + 2.101×√(0.49/19)  

9.0626 < μ < 9.737

∴ The 95% confidence interval for the mean ≈ (9.063, 9.737)


Related Questions

Can you pleaseee help me

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The answer is D. 2 you do the equation in prentice first

Multiply
5x (2)
I don’t get it

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Answer:

10x

Step-by-step explanation:

(b) In a lab, a substance was heated by 6 °C each hour for 48 hours. What was the total change
in temperature?
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Answer:

288 degrees celcius

Step-by-step explanation:

48 x 6 is 288

Answer:

The total change in temperature was 288* degrees.

Step-by-step explanation:

6 x 48 = 288

15 POINTS!!! what is 70x11? ​

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70 x 11 is 770 man man mana

What is the measurement of this angle?

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The angle is 35 degrees.

Help me answe this please lol

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Answer:

SAS

is the correct answer of this question

Answer:

SAS

Step-by-step explanation:

SAS is an abbreviation for side angle side, which is what your triangle shows.

Aunt Lee bought a toothpaste at a discount of 25%. If the
sales price of the toothpaste was $3, what was the full price
of the toothpaste?
$ ._.00

Answers

Answer:

12

Step-by-step explanation:

3 divided by .25 equals 12. You move the decimal of 25% twice to the left to get .25.

Variables are defined by what?

Answers

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. ... The letters x, y, and z are common generic symbols used for variables. Sometimes, we will choose a letter that reminds us of the quantity it represents, such as t for time, v for voltage, or b for bacteria.

Step-by-step explanation:

thats true❤️

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

please mark as brainliest

Which statements are true about the toolbox? Select two options.
The shape can be broken into a rectangular prism and a triangular prism.
The shape can be broken into a rectangular prism and a rectangular pyramid.
The formula for the volume of this figure is V = B h + one-third B h.
The volume of the toolbox is 840 inches cubed
The volume of the toolbox is 900 inches cubed

Answers

Answer:

Option A and E.

Step-by-step explanation:

It is mentioned that Chiyo has a toolbox having a  rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.

In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.  

So here the shape can be broken into a triangular prism and rectangular prism

Therefore the first option is correct

Now as we know that

Volume of the rectangular prism is

= l×b× h

= 8 × 15 × 6

= 720

And, the volume of the triangular prism is bh

And, the area of the triangular prism is 1 ÷ 2 × b × h

= 1 ÷ 2 × 8 × 3

= 12

Now the volume is

= 12 × 15

= 180

So, the volume of the tool box is

= 720 + 180

= 900

Hence, the last option is correct  

Which fraction is equivalent to -3/2?

Answers

3/-2 so the first option

Using the diagram shown below, which statement is true?


the measure of
the measure of
the measure of
the measure of

Answers

The statement which says that the measure of ∠ABD = ¹/₂ ∠ABC. So, the correct option is C.

Define angle bisector.

An angle bisector is defined as a ray, segment, or line that bisects a given angle into two equal angles. The word bisection or half means dividing one object into two equal or identical parts. In geometry, we usually divide triangles and angles by lines or lines that are considered bisectors.

A geometric bisector is a ray, line, or segment that divides a given angle into two equal parts. For example, the bisector of a 60 degree angle divides it into two 30 degree angles. In other words, split the angle into two smaller congruent angles.

For the given case,

Ray BD bisects ∠ABC into two equal angles ∠ABD and ∠DBC; which can be written as ∠ABD = ¹/₂ ∠ABC.

To know more about angle bisector, visit:

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The complete question is as follows:

15. A particular compound decays according to the equation y = ae^-0.0736t, where t is in days. Find the half-life of this compound.

Answers

Answer:

12

Step-by-step explanation:

help your girl out, plz!!!​

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Answer:

B. half the students answer 70% or 75% of the questions correctly

simplify the following: 3^2 times 3^2 7 times 7^4 10^9 divided by 10^7 5^8 divided by 5

Answers

Answer:

1. 140 times

Step-by-step explanation:

an airship flies 150 km with the wind and then turn around and flies back taking 5 hour and 30 min round trip. Find the speed of the airship in calm weather is 55 mph.

Answers

Answer:

150=(55-c)(5.5-t)

5.5-t=150/(55-c)

-t=(150-302.5+5.5c)/(55-c)

t=(152.5-5.5c)/(55-c)

150=(55+c)t   using t found about

150=(55+c)(152.5-5.5c)/(55-c)

8250-150c=8387.5-302.5c+152.5c-5.5c^2

5.5c^2=137.5

c^2=25

c=5

So the current is 5mph.

Step-by-step explanation:

You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the​ walk? Use 3.14 for π.

Answers

Answer:

415.48

Step-by-step explanation:

is the area

Three side lengths of a right triangle are given. Does it matter where you substitute the lengths in the Pythagorean Theorem? Explain.

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the answer is b hope that helps!!

name a pair of parallel lines

Answers

FG and CD

Plz give brainliest

Answer:

Two lines will be parallel when their slopes are equal, and two lines will be perpendicular when their slopes are negative reciprocals of each other. Our slopes for these two equations are the coefficient for the x value. Both slopes are equal so these lines are parallel

Step-by-step explanation:

A. 34
B. 55
C. 65
D. 145

Answers

answer is A, because of the alternate interior angles theorem

Super urgent please help urgent

Answers

Answer:

A) the value is less than 67

Step-by-step explanation:

In circle T with m∠STU=78 and ST=8 , find the length of arc SU. Round to the nearest hundredth.

Answers

Answer:

10.89

Step-by-step explanation:

The length of the arc SU in the circle T is 10.88 units.

What is circle?

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the centre.

Given that, in a circle T, m ∠STU = 78° and ST = 8, we need to find the length of arc SU,

The length of an arc = central angle / 360° × perimeter
= 78° / 360° × 3.14 × 16

= 10.88

Hence, the length of the arc SU in the circle T is 10.88 units.

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Please help- will give brainlist

Answers

Answer:

square = 162 units squared

triangle = 18.7 units squared

Step-by-step explanation:

Common sense

17=s+7
pls help i need thissssssssssssss

Answers

Answer:

17=s+7

-7    -7

-----------

10    0

s=10

Step-by-step explanation:

-Subtract 7 from both sides

-Remove the 0 and the addition sign

-You are now left with the equation s = 10

-Once you check to make sure 10 + 7 = 17 you have your answer

Hope this helps :))

A baker has a 20-kg bag of raisins. One-eighth of the bag is used in each batch of cookies. How much is used for 5 batches?

Answers

Answer:

12 1/2 kg

Step-by-step explanat

Answer: 12.5kg

Step by step:
20/8 = 2.5
2.5 kg = one batch
2.5 x 5= 12.5

Which of the following best describes the equation below?

y = -2x2 - 4
A.
both linear and nonlinear
B.
neither linear nor nonlinear
C.
nonlinear
D.
linear

Answers

Answer:

I think it's C nonlinear

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

use desmos calculator helps with these question

A helicopter is hovering over a landing pad 100 m from where you are standing. The angle of elevation with the ground is 12 degrees. What is the altitude of the helicopter rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A helicopter is hovering over a landing pad 100 meters from where you are ... If the string is stretched straight, how high is the kite above the ground?

HELP ASAP!!!!!!!

What is the width of a rectangle if the area is 2x^2-x-6 and the length is 2x+3?

Answers

i’m not sure tbh,but you can use the app photomath and it should tell you!

9/10 - 1/2 can you help

Answers

Answer:

4/10 or 2/5

Step-by-step explanation:

9/10-1/2 = 9/10-5/10 = 4/10 = 2/5

Answer:

2/5

Step-by-step explanation:

9/10-1/2

9/10-1×5/2×5

9/10-5/10

9-5/10

4/10

2/5

Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and gloves he purchased last spring, but he can’t remember the price of each item. Luis recalls making two purchases last spring, each totaling $135 and both tax exempt. The first purchase was for a glove and three bats. The second purchase was for two gloves and a bat. If the current prices of these items are the same as last spring, how much will Luis pay this spring for three gloves and four bats?

Answers

Answer:

Luis will pay for three gloves and four bats = $ 270

Step-by-step explanation:

Let the bats be represented by b and gloves by g, then according to the given conditions

3b+ g= $135----equation 1

b+ 2g= $135------equation 2

Subtracting equation 2 from eq. 1 gives

3b+ g= $135----equation 1

-b -2g= -$135------equation 2

2b -g = 0 --------- equation3

2b-g= 0

or 2b= g------ equation4

This means price of 2 bats is equal to price of 1 glove.

Putting value of g in eq. 1 from eq. 4

3b+ 2b= $ 135

5b= $135

b= 135/5= 27

Price of 1 bat = $ 27 and price of 1 glove= 2*27= $54

Luis will pay for three gloves and four bats

= 54*3 + 4*27

= 162+ 108

= $ 270

How many pieces of wire 3.6cm long can be cut from a coil of 1m long?What is the length of the piece left over?​

Answers

Answer:

We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over

Step-by-step explanation:

Find the "unit length" by dividing 1 m by 3.6 cm:

  1 m

-----------

3.6 cm

Recall that 1 m = 100 cm.  Multiply the following by the conversion factor 100 cm / 1 m:

  1 m            100 cm

----------- * ----------------- = 27,7777777...

3.6 cm            1 m

We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over (verify this by dividing 7 by 9 on a calculator).

Answer:

Solution :-

Pieces can be cut = 1/3.6

Pieces can be cut = 0.27 m

100 cm = 1 m

0.27 m = 27 cm

Therefore,

The length remaining of wire is 27 cm (approximately)

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