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Lera25 [3.4K]
3 years ago
10

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It

is believed that the machine is underfilling the bags. A 27 bag sample had a mean of 402 grams with a variance of 676. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

σ = 26

The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

z = -2.04

From the z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

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In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
Vladimir79 [104]

Answer:

John is currently 6 years old.

Step-by-step explanation:

2 years ago: x years

Current time: x+2

In 6 years: x+8

EQUATION:

3(x)=x+8= 3x=x+8

(subract x from both sides)

2x=8

x=4

Therefore, John is 6 years old in current time

7 0
2 years ago
Please tell me the answer.. it will mean and help me a lot and give you more points :)
vovikov84 [41]

Step-by-step explanation:

12500 divided by 0.26= liters

5 0
3 years ago
An equation is shown below:
Ad libitum [116K]

Answer:

solution given:

4(2x − 5) = 4

2x-5=4/4

2x=1+5

x=6

Step-by-step explanation:

Part A:One

Part B:x=6

3 0
2 years ago
Find the surface area of composite figures
Aleonysh [2.5K]

  • Answer:

<em>429 cm²</em>

  • Step-by-step explanation:

<em>A(blue) =</em>

<em>= 2×6cm×10cm + 2×6cm×8cm + 8cm×10cm + (8cm×10cm - 5cm×4cm)</em>

<em>= 120cm² + 96cm² + 80cm² + 60cm²</em>

<em>= 356 cm²</em>

<em>A(green) =</em>

<em>= 4cm×5cm + 2×5cm×5cm/2 + 4cm×7cm</em>

<em>= 20cm² + 25cm² + 28cm²</em>

<em>= 73 cm²</em>

<em>A(total) =</em>

<em>= A(blue) + A(green)</em>

<em>= 356 cm² + 73 cm²</em>

<em>= 429 cm²</em>

6 0
3 years ago
Read 2 more answers
Pam and Meg each have a picture frame. Pam’s picture frame is a square with an area of 3 square feet. Meg’s picture frame is a c
kondaur [170]

Answer:

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately 0.65 ft

Step-by-step explanation:

Pam's picture frame : Square with area of 3 sq. foot

Meg’s picture frame is a circle with a radius, r of 1 foot.

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet.

Let's calculate circumference of Meg's picture frame:

Circumference c, = 2πr

r = 1 ft

c = 2 * 3.14 *1 = 6.28 ft


Now calculate Perimeter of Pam's picture frame:

A is area of square and s is the side

A = s²

s² = 3

s = √3

Permeter of square = 4s

= 4√3 = 6.93ft

Now in order to find  circumference of Meg’s picture frame is the perimeter of Pam’s picture frame, we have to find their difference.

Permimeter of square frame - Circumference of circle frame = 6.93 - 6.28 = 0.65


8 0
2 years ago
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