The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10 bottles indicates a sample mean of 228.2 mg with a sample standard deviation of 18.2 mg. (a) State the hypotheses for a two-tailed test of the claimed sodium content. a. H0: μ ≥ 220 vs. H1: μ < 220 b. H0: μ ≤ 220 vs. H1: μ > 220 c. H0: μ = 220 vs. H1: μ ≠ 220 a b c (b) Calculate the t test statistic to test the manufacturer’s claim. (Round your answer to 4 decimal places.) Test statistic (c) At the 5 percent level of significance (α = .05), does the sample contradict the manufacturer’s claim? H0. The sample the manufacturer’s claim. (d-1) Use Excel to find the p-value and compare it to the level of significance. (Round your answer to 4 decimal places.) The p-value is . It is than the significance level of 0.05. (d-2) Did you come to the same conclusion as you did in part (c)? Yes No

Answers

Answer 1

Answer:

Follows are the responses to this question:

Step-by-step explanation:

[tex]H_O: \mu=220\\\\H_a:\mu \neq 220\\\\[/tex]

0.05 degree of significance for two tail tests and n-1= 9 df, critica t= 2.262

When the absolute value of the test statistic |t| >2.262, the decision rule rejects[tex]H_0[/tex].

[tex]\mu=220\\\bar{x}=228.200\\n=10.00\\smaple \ std \ deviation = 18.200\\std\ error \ ' sx= \frac{s}{\sqrt{n}} =5.7553\\test stat t=\frac{(x-\mu) \times \sqrt{n}}{sx}=1.4248\\p value=0.1880\\[/tex]

In point c:

It does not reject[tex]H_0[/tex], because it has the sample that not contradicts the manufacturer's claim

In point d:

For point 1:  

The value of p is 0.1880 , that is higher than the 0.05

For point 2:

Yes


Related Questions

Solve for the values of x and y:

y = 3x - 5 ........(i) and y = -x + 7 ........(ii)

Answers

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 (÷4 on both sides)

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

Ill mark brainliest, question is attached

Answers

go on mathpapa.com they solve / simplify / factorise and everything they're very good it's a calculator

Answer:

-15u^2

Step-by-step explanation:

plz help will mark brainlist

Answers

Answer:

1. 1/7

2. 1/4

Step-by-step explanation:

maths

Sixth grade is going on a field trip to Disney World. Tickets will cost each student $75.36. Parent tickets will cost $82.79 each. What will the total cost be for 36 students and 45 parents

Answers

Answer:

$ 6,438.51

Step-by-step explanation:

75.36 X 36 = 2,712.96

82.79 X 45 = 3,725.55

2,712.96 + 3,725.55 = 6,438.51

Consider this right triangle determine whether each equation is correct. Select yes or no for each equation

Answers

Answer:

where is the question?

Step-by-step explanation:

I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"

determine the domain of the following graph

Answers

Answer:

[-5, 10) or you can write [tex]-5\le x < 10[/tex]

Step-by-step explanation:

The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.

So the domain is all real numbers greater than or equal to -5 and less than 10.

[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.

A relation R={(4,3)(5,4)(6,5)}then write its inverse

Answers

Answer:

R'={(3,4)(4,5)(5,6)}

Step-by-step explanation:

R={(4,3)(5,4)(6,5)}

R'={(3,4)(4,5)(5,6)}

Solve for x.

One side = 10
Another side = 9
One side = x
(It's a right triangle.)

Answers

Answer:

x = 4.3588989435406

I hope it's helps you

HELP! Jameson works as a cashier in a music store. A customer wants to pay
for a CD that is on sale for 15% off the regular price of $18,00
15% off
Rock 'N' Roll
greatest HITS
The cash register is broken, and Jameson must calculate the price of the
CD using only a calculator
a. What is the sale price of the CD? Show or explain how you got your
answer
b. Jameson needs to add 6%
sales tax to the sale price of the CD. What
should Jameson charge the customer for the CD, including tax? Show
or explain how you got your answer.
c. The customer told Jameson that he could get the same answer and
save time by just taking 9% off the regular price of the CD, because
15% -6% is 9%. Is the customer right? Explain your reasoning.

LOOK AT PIC FOR HELP!
thanks

Answers

Answer:

A=15.30, b=16.22, c=no. 9% of 18 doesn’t equal 16.22

Step-by-step explanation:

19 1/2 is 3/4 of what number?

Answers

Answer:

19.5 = 0.75x

x = 26

I hope this finds you well and have a great day.

Represent 0.533 (only the last 3 is bar number) into a rational number

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

What is the missing number? 17- =8​

Answers

Step-by-step explanation:

17-9=8 so your welcome byee

What is the root when talking about a quadratic equation

Answers

The root is the x intercepts or the zeros of the problem

If I were to graph

(x-5)(x+4)=0

We need a number for x which makes this equation 0

The numbers are 5 or -4

These are the x intercepts of the parabola or roots

Answer:

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

1. A coin is tossed once, what is the probability of getting a head​

Answers

Answer:

The answer is...1/2

Step-by-step explanation:

1- head

1-tail

To get head-1/2

Answer:

the answer is 1/2

Step-by-step explanation:

you have 2 sides each side a 50% chance

Within the gulf war did javen work at sonic?

Answers

Answer:

yes for 2 hours then died

Step-by-step explanation:

LOLLLL LOOK HERE PIC

Find the area!

- please help!

Answers

Answer:

25 x 20 = 500

half of 25 = 12.5

12.5^2

156.25 x 3.14 = 490.625

490.625 divided by 2 = 245.3125

245.3125 + 500 = 745.3125 cm2 is your answer.

Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%​

Answers

Answer:

I think its B

Step-by-step explanation:

2. Antonio dispone de un capital de $9,000.00


en una cuenta al 4% de interés anual y o


sabiendo que el capital acumulado al cab


one de un capital de $9,000.00 dólares, del que una parte la deposita


enta al 4% de interés anual y otra al 5% anual. Calcula ambas partes


que el capital acumulado al cabo de un año es de $9,400.00 dólares.

Answers

Answer:

La respuesta al ejercicio es:

$4,000.00 al 5% anual.$5,000.00 al 4% anual.

Step-by-step explanation:

Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:

x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.

Y el siguiente sistema de ecuaciones:

x + y = 9000x * 5% + y * 4% = 400

En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:

   2. x * 0.05 + y * 0.04 = 400

Lo cual también se puede representar como:

   2. 0.05x + 0.04y = 400

Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:

x + y = 9000y = 9000 - x

Y la reemplazaré en la segunda ecuación:

0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400

Ahora operamos:

0.05x + 360 - 0.04x = 400

Restamos las variables x:

0.01x + 360 = 400

Y despejamos el valor real de x:

0.01x = 400 - 360x = 40 / 0.01x = 4000

Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:

x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000

Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.

please helpppppppp , thank you!

Answers

Answer:

1/2 is likely but I'd rather go with 2

uadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Found your answer to the nearest tenth if necessary.

Answers

58/17 =3.411 26.5x3.411=90.39 so round to 90.4

In ΔWXY, the measure of ∠Y=90°, WY = 8, YX = 15, and XW = 17. What ratio represents the tangent of ∠X?

Answers

Answer:

8/17

Step-by-step explanation:

Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.

When does the ball reach its maximum height?

What is the maximum height of the ball?

Answers

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

Which expression is equivalent to x with the power of 2 +2x+2?

Answers

Answer:

The answer is the fourth one

Step-by-step explanation:

The correct answer is the third option as in the screenshot I have attached.

Cual es la potencia de base 3 que corresponde al producto 3 elevado a 3,3elevao a menos 2y 9 elevado a menos

Answers

Hehe r shahwbe ruehebrusiwb radiate r turbo ruw

WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)

Answers

Answer:

2(n+1)+2

You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.

Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars?

Answers

Answer:

average temperatures on mars, then you get the hottest temperatures...

Step-by-step explanation:

To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.

Answers

Answer:

[tex]p > 80[/tex]

Step-by-step explanation:

Given

Points = More than 80

Required [Missing from the question]

Represent as an inequality

Let p represents the number of points.

More than means greater than i.e. >

Hence, more than 80 is represented as;

[tex]p > 80[/tex]

The sum of two numbers is 52 and the difference is 16. What are the numbers?

Answers

Answer:

18

Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52

Step-by-step explanation:

[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]

A graph shows time (weeks) labeled 2 to 8 on the horizontal axis and height (inches) on the vertical axis. A line of orange dots increases from 0 to 9 weeks starting at 2 on the vertical axis. The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply. The function is linear. The function is quadratic. The height increases at a constant rate of change. The ratio of height and number of weeks is constant. There is no relationship between height and number of weeks.

Answers

Answer:

A.) The function is linear.

C.) The height increases at a constant rate of change.E

Step-by-step explanation:

Edge 2022

The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.

Therefore, the following statements apply:

The function is linear.

The height increases at a constant rate of change.

Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.

The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.

Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ3

Due tonight.. *no links*

Answers

Answer:

49°

Step-by-step explanation:

106 + 135 + 70 + x = 360

311 + x = 360

x = 49°

49 degrees is the answer
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