What is the median of this data set?

Enter your answer in the box.

Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 403[/tex]

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

[tex]H_{a}: \mu \neq 403[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Value of 403 tested at the null hypothesis:

This means that [tex]\mu = 403[/tex]

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that [tex]n = 10, X = 411, \sigma = \sqrt{121} = 11[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}[/tex]

[tex]z = 2.3[/tex]

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Answer:

90 miles

Step-by-step explanation:

120/4 = 30

30 m/hour

3 hours = 30x3 = 90 miles

Answer:

B) (1/2, -8)

Step-by-step explanation:

(1, -6) and (0, -10)

Midpoint formula:

((x1+x2)/2, (y1+y2)/2)

Solving for x:

(x1+x2)/2

(1 + 0)/2

1/2

Solving for y:

(y1+y2)/2

(-6-10)/2

(-16)/2

-8

Answer:

y = 8 when x = 2

Step-by-step explanation:

y = 4x

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

9514 1404 393

Answer:

  2271.08

Step-by-step explanation:

The total of the 50 numbers is 113554. Then their mean is ...

  113554/50 = 2271.08 . . . . the mean

Answer:

B

Step-by-step explanation:

it's basically 2+7

Answer:

it would be C

Step-by-step explanation:

Answer:

find the percentage equal to 70/80

Answer:

Wrong

Step-by-step explanation:

200%18=11.11111111

Answer: Jackie is incorrect

Step-by-step explanation:

Because 200/18 = 11.1111111111

Answer:

the answer is either mean or median because you can find both of them given the data

Answer:

No, this sample is not biased.

Step-by-step explanation:

Everyone in the grocery store has a fair chance of getting picked for the survey.

I hope this helped!! :3

Answer: A

Step-by-step explanation:

Answer:A

Step-by-step explanation:the answer is how many solutions

Answer:

8^(3n+1) = 80/5

8^(3n+1) = 16

(2^3)^(3n+1) = 2^4

2^(3*(3n+1) = 2^4

Having same power so;

9n+3 = 4

9n = 4-3

9n = 1

n = 1/9

Answer:

ㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋ:)

Step-by-step explanation:

Answer:

i got 1.4

Step-by-step explanation:

1 2/3 - 5/6 = 5/6 ≅ 0.8333333

4 - 11/5 = 9/5 = 1 4/5 = 1.8

5/6 * 14/5 = 7/3 = 2 1/3 ≅ 2.3333333

2 1/3 / 15/9 = 7/5 = 1 2/5 = 1.4

Answer:

14 N

Step-by-step explanation:

Let the mass of the box be m.

F = ma → F = 5 x 4.2 = 21 N

When mass = 2.8 kg, let the acceleration is a. For same force:

=> 21 = a x 2.8

=> 21/2.8 = a

=> 7.5 m/s² = a

Answer:

7.5M/s^2

Step-by-step explanation:

Answer:

∠Q = 64°

Step-by-step explanation:

The triangles are similar because 4/14 = 8/28 = 6/21, all = 2/7

∠R = 46° was given

∠P = 70° because it corresponds to ∠S

since the sum of all the interior angles of a triangle = 180° then:

∠Q = 180° - 46° - 70° = 64°

Step-by-step explanation:

[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]

Answer:

it number 3 ok look it up

Step-by-step explanation:

my user name on  is john_wick4732

Answer:

The answer is A) Peter should choose the mean after dropping one test score

Step-by-step explanation:

Answer:

y>18

Step-by-step explanation:

Move all terms not containing y to the right sideof the inequality.

Inequality Form:

y>18

Answer:

137

Step-by-step explanation:

try this answer

Answer:

52 or 28

Step-by-step explanation:

An isosceles has 2 congruent angles.

There are 2 possibilities:

A) There are two 76-deg angles and one angle of a different measure.

76 + 76 + x = 180

x = 28

B) There are two congruent angles, and 76 is the non-congruent angle.

x + x + 76 = 180

2x = 104

x = 52

Answer: 52 or 28

Answer:

steve need to buy 4 packages.

Step-by-step explanation:

1 package=10markers. 40 marker= 40/10=4

Answer:

4

Step-by-step explanation:

40/10 = 4/1 = 4

Answer:

PAMDAS

Step-by-step explanation:

PEMDAS

hope it helps !

Answer:

58 ft squared.

Step-by-step explanation:

The formula for area of a trapezoid is (h/2)(b1 + b2). Let's plug in the values:

(4/2) * (12+17) = 2 * 29 = 58ft^2.

Answer:

No a rhombus is not a rectangle

Step-by-step explanation:

Answer:

What the feek?

Step-by-step explanation: