Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?

Answers

Answer 1

Answer:

The t-score to be used to find the 95% confidence interval for the population mean is;

[tex]t_{(0.025, \, 25)} = 2.06[/tex]

Step-by-step explanation:

The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom  from the Student's T-distribution is a standard test statistic obtained by applying a T-test

Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;

The number of degrees of freedom = n - k

The confidence level in the confidence interval

The parameters given in the question are;

The number of pizza orders in the sample, n = The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza

The level of confidence (the probability) that the interval contains the population mean = 95%

Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05

∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long

The degrees of freedom, df = n - k

∴ For the estimation, DF = 26 - 1 = 25

The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;

[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]


Related Questions

Consider the equation r + 2 = 3x – 4.
a. Solve the equation using algebra.
X=

Answers

Answer:

r/6 +2 = X

Step-by-step explanation:

We want to isolate X by itself to find its value. First transpose your -4 to the other side (note that -4 will become positive)

r + 2 +4 = 3x

r + 6 = 3x

To find the X, we get rid of the 3, so divide both sides by 3

r/3 + 6/3 = x

r/3 + 2 = x

OR

(r+6)/3 = x

Both works : )

Answer:

Step-by-step explanation:

We want to solve r + 2 = 3x – 4 for x.

This means isolating x on one side.  To do this, first add 4 to both sides, obtaining r + 2 + 4 =3x, or:

r + 6 = 3x

Finally, divide both sides by 3:

        r + 6

x = -------------

            3

HELP ASAP PLEASEESE <3

Answers

Answer:

?? Where IS THE PICTUREEE

Step-by-step explanation:

Find the slope of the line passing through the points (-4, 2) and (3, 2)

Answers

Answer:

0

Step-by-step explanation:

The slope of a line is also known as the change in the line. it is often referred to as ([tex]\frac{rise}{run}[/tex]) and can be found using the formula, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). Substitute in the given points and solve for the slope,

[tex]\frac{(2)-(2)}{(3)-(-4)}[/tex]

Simplify,

[tex]\frac{0}{3+4}\\\\\frac{0}{7}[/tex]

The slope of the line is (0).

solve by subsution 10x=4 2x+y=-24

Answers

Answer:

big shaq

Step-by-step explanation:

PLS HELP ASAP !!!!!!!!!!3
Compare the functions shown below:
f(x) = 7x + 3(x) = h(x) 2 sin(3x + π) − 1 Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

f(x) has the greatest y-intercept

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 7x + 3

- The function g(x) is tangent function with y-intercept at (0 , 2)

- h(x) = 2 sin(3x + π) - 1

* Lets explain how to find the y-intercept

- The y-intercept means the intersection of the graph of the

 function with the y- axis

- Any point on the y-axis has x-coordinate = 0, so to find the y-intercept

of any function substitute x in the function by zero

∵ f(x) = 7x + 3

∵ x = 0

∴ f(x) = 3

∴ The y-intercept of f(x) is 3

∵ g(x) has y-intercept at point (0 , 2)

∴ The y-intercept of g(x) is 2

∵ h(x) = 2 sin(3x + π) - 1

∵ x = 0

∴ h(x) = 2 sin(3 × 0 + π) - 1

∴ h(x) = 2 sin(π) - 1

∵ sin(π) = 0

∴ h(x) = 2 (0) - 1 = 0 - 1 = -1

∴ The y-intercept of h(x) is -1

∵ 3 > 2 and 3 > -1

∴ f(x) has the greatest y-intercept

The function f(x) has the greatest y-intercept i.e. 3.

Given functions are:

[tex]f(x)=7x+3\\[/tex]

[tex]h(x)=2Sin(3x+\pi )-1[/tex]

What is the y-intercept?

The y-intercept is the point on the y-axis at which the graph intersects.

We know that on the y-axis, the x-coordinate is zero.

So, by putting x=0 in the function we can get the y-intercept.

1)[tex]f(x)=7x+3\\[/tex]

[tex]f(0)=3[/tex]

So, the y-intercept of f(x) is 3.

2)From the graph we can say the y-intercept of g(x) is 2.

3)[tex]h(x)=2Sin(3x+\pi )-1[/tex]

[tex]h(0)=2Sin\pi -1[/tex]

[tex]h(0)=-1[/tex]

So, the y-intercept of h(x) is -1.

Hence, function f(x) has the greatest y-intercept i.e. 3.

To get more about functions visit:

https://brainly.com/question/2833285

Someone please please help

Answers

Answer:

k=60

step-by step explanation:

a triangles angles should all add up to 180.

so:

78+42=120

180-120=60

this would be the angel k.

The angle h would be 42 and angle g would be 78

Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$ for $\pi$ . Round to the nearest hundredth if necessary. A cymbal with a radius of 7 inches.

Answers

Answer: 44 inches

Step-by-step explanation:

You didn't write your question well but I'm guessing that you want to.find the circumference of a circle.

The circumference of a circle = 2πr

= 2 × 22/7 × 7.

= 2 × 22

= 44inches

The circumference is 44 inches

Answer:

44

Step-by-step explanation:

Ill mark brainliest if right! Which could NOT be side lengths of a parallelogram?
A. 2 yd, 2 yd, 2 yd, 2 yd
B. 3 cm, 2 cm, 2 cm, 3 cm
C. 4 m, 3 m, 4 m, 4 m
D. 5 in., 5 in., 3 in., 3 in.

Answers

Answer:

C: 4m, 3m, 4m, 4m

Step-by-step explanation:

The opposite sides of a parallelogram have to be congruent. Since one side is 3m, the quadrilateral is not a parallelogram.

What is 7 + 3/4x = x

Answers

Answer

28

Can I have the brainliest please?

Graph f(x) = 3 |x– 5|+ 1.

Answers

Answer:

This is how your function looks on a graph table. Hope this helps.

YGYGGYGYUGJHVVJFYTTDUYF

Answers

Ohnooohnoooohno ohnoooo

Solve using elimination. -2x+2y=2, 2x-y=4.

Answers

Answer:

y=6

x=5

Step-by-step explanation:

x=(y+4)/2

-2(y+4)/2+2y=2

-y-4+2y=2

y-4=2

y=6

x=(6+4)/2

x=5

Mrs. Richardson wants to rent patio chairs for a party. Rick’s Rentals charges $3.50 per chair and $35 for delivery. Dean’s Discount Rentals charges $5 per chair and $20 for delivery. How many chairs would Mrs. Richardson need to rent in order for Rick’s Rentals to have the same price as Dean’s Discount Rentals?

11
76
75
10

Answers

Answer:

maby awser b.76

Step-by-step explanation:

tell me if this helps

hii please help i’ll give brainliest

Answers

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3  pls mark brainliest

Please help me and show your work

Answers

Answer:

Step-by-step explanation:

y = 3x + 4

Plugin x = 3 in the equation,

y = 3*3 + 4

 = 9 + 4

y = 13

Plugin x = 4 in equation,

y = 3*4 + 4

  = 12 + 4

y = 16

Plugin x = 5 in the equation,

y = 3*5 + 4

  = 15 + 4

y = 19

2) y =x - 7

Plugin x = 10 in the equation

y = 10 - 7

y = 3

Plugin x = 15 in the equation

y = 15 - 7

y = 8

Plugin x = 20 in the equation

y = 20 - 7

y = 13

Which function represents the inverse of function fbelow?
f(x) = 3 x + 5​

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]

Step-by-step explanation:

let y = f(x) then rearrange making x the subject , that is

y = 3x + 5 ( subtract 5 from both sides )

y - 5 = 3x ( divide both sides by 3 )

[tex]\frac{y-5}{3}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]

Name each polynomial based on its degree and number of terms.

-2xy^2

Answers

Answer:

Degree: 3

Number of terms: 1

Step-by-step explanation:

The exponent on x is 1. The exponent on y is 2.

1 + 2 = 3

Degree: 3

Number of terms: 1


PLS ANYONE HELP ME!!

Write an equation for 96% of what number is 24?

Answers

Answer:

0.96 • x = 24, x = 25

Step-by-step explanation:

96% of what number is 24

Let's break this phrase down.

96% can be represented as 96/100 or 0.96

"of" indicates multiplication

"what number" is our unknown variable, x.

"is" represents our equals sign

Then we have our answer 24.

Let's put this all together.

0.96 • x = 24

To solve for this, divide both sides by 0.96.

x = 25

Hope this helps!

Please answer everything in the screenshot below I will mark brainliest.

Answers

Answer:

The weeks is the independent variable and the height is the dependent variable.

Step-by-step explanation:

This is because the number of weeks you take to care for it depends on the height it will become. Hope this makes sense!

A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?

546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers

Answers

Answer:

B

Step-by-step explanation:

First Character: 21 consonant

2nd 3rd and 4th: 10* 9* 8 = 720

Last Character: 26

Total Ways 21 * 720 * 26 = 393120

Factor the expression.
Show your work

x²+3xy−18y²

Answers

Answer:

(x + 6y)(x - 3y)

Step-by-step explanation:

Given

x² + 3xy - 18y²

Consider the factors of the coefficient of the y² term (- 18) which sum to give the coefficient of the xy- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , then

x² + 3xy - 18y² = (x + 6y)(x - 3y)

Heya! ツ
☛[tex] \underline{ \underline{ \text{question}}}[/tex] : In the given figure , O is the centre of the circle. Two equal chords AB and CD intersect each other at E. Prove that :
i. AE = CE
ii. BE = DE

*Random/irrelevant answers will not be tolerated !

Answers

Answer:

See Below.

Step-by-step explanation:

In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.

We want to prove that I) AE = CE and II) BE = DE

First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.

Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:

[tex]\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}[/tex]

Arc AB is the sum of Arcs AD and DB:

[tex]\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}[/tex]

Likewise, Arc CD is the sum of Arcs CB and DB. So:

[tex]\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]

Since Arc AB ≅ Arc CD:

[tex]\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]

Solve:

[tex]\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}[/tex]

The converse tells us that congruent arcs have congruent chords. Thus:

[tex]AD\cong CB[/tex]

Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:

[tex]\angle ADC\cong \angle CBA[/tex]

Additionally:

[tex]\angle AED\cong \angle CEB[/tex]

Since they are vertical angles.

Thus:

[tex]\Delta AED\cong \Delta CEB[/tex]

By AAS.

Then by CPCTC:

[tex]AE\cong CE\text{ and } BE\cong DE[/tex]

Answer:

this is your answer. look it once.

Josephine bought 8 gallons of milk.
How many liters does that equal?

Answers

8 US gallons = 30.28329 Liters

Answer:

Either 30 or 32, depending on if your teacher wants you to use exact decimals, or rounded numbers

Step-by-step explanation:

Usually people round liters to equal 4 per gallon, which would give you 32.

However, a liter is technically 3.785 liters per gallon- and this exact number would give you 30 as an awnser.

I'd say 32 is the safer awnser, unless your teacher has given you the number 3.785 decimal amount to use instead.

HELP ITS MY LAST QUESTION!!!

Answers

The answer will be x+23

Answer:

D. x + 23

Step-by-step explanation:

Start by distributing the 3 to the numbers in the parenthesis

3(x + 6) - 2x + 5

3x + 18 - 2x + 5

now just add like terms

3x + 18 - 2x + 5

x + 23

Review questions
6. What is slope and y intercept of the line shown in the graph? Write the equation for the line. (3 pts)
Slope,
y-intercept:
Equation:

Answers

Answer:

slope: -3/4    y-intercept: 3   equation: y=(-3/4)x+3

Help me, please ❤️❤️

Answers

Answer:

thx for the points

Step-by-step explanation:

u

Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire team scored points.

Answers

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

What is the volume of a cylinder with a height of 18.5 m and a base with a diameter of 5.2 m, to the nearest tenth of a cubic meter?​

Answers

Answer:

22÷7×5.2×5.2×18.5

1572.18

I hope this will help you and plz mark me brainlist

Cylinder Volume formula: V= πr^2*h

πconst is 3.14
r is the half of diameter. So that’s 5.2/2=2.6m
And h is 18.5m

V=3.14x(2.6m)^2x18.5m=392.6884m^3
(392.6884m^3=392.7m^3)

I hope this helped you!

What is the slope of the line represented by the equation y = (4/5)x - 3?

Answers

Answer:

4/5

Step-by-step explanation:

The slope is always the coefficient of x in a y = mx + b equation

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

y=[tex] \frac{4}{5} [/tex]x-3

comparing above equation with y=mx +c

we get

slope[m]=[tex] \frac{4}{5} [/tex]

choices;
a) 21.8°
b) 35.2°
c) 45.1°

Answers

Answer:

[tex] \displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ} [/tex]

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

[tex] \displaystyle \: \tan( \theta) = \frac{opp}{adj} [/tex]

where our opp is 5 and adj is 12.5

let [tex]\theta[/tex] be x°

so

[tex] \displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5} [/tex]

[tex] \displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)[/tex]

by using calculator

[tex] \displaystyle \: {x}^{ \circ} = 21.8[/tex]

hence,

our answer is a

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