Suppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz):

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz?
a. State the appropriate null and alternate hypotheses.
b. Compute the value of the test statistic.
c. Find the P-value and state your conclusion.

Answers

Answer 1

Answer:

H0: μ ≥ 16

H1: < 16

−2.748749;

0.011275;

Reject the Null

Step-by-step explanation:

Given the data:

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Null hypothesis ; H0: μ ≥ 16

Alternative hypothesis ; H1: < 16

Sample size, n = 10

From the data:

Using calculator,

Sample mean, m = 15.887

Standard deviation, s = 0.13

The test statistic, T

(m - μ) / s/sqrt(n)

(15.887 - 16) / (0.13/sqrt(10))

= −2.748749

Using the p value from test statistic calculator :

Degree of freedom (df) = 10 - 1 = 9 at 0.05 significance level is 0.011275

Since the p value is < 0.05

0.011 < 0.05

We reject the Null and conclude that the mean fill weight is less than 16 oz


Related Questions

X-4=12 what does x equal

Answers

Answer:

x = 16

Step-by-step explanation:

So we do the fancy inverse thing:

x - 4 + 4 = 12 + 4

x = 16

Use the Discriminant to determine if the quadratic equation has complex/no real solutions, one real solution, or two real solutions. Give the value of the a. 2x^2 – 3x - 10 = 0 b.x^2 - 6x + 9 = 0 c.g(x)=x^2-8x+20​

Answers

Answer:

Step-by-step explanation:

discriminant = 3² – 4·2(-10) = 89

discriminant > 0 ∴ two real solutions

Please helpp. I have to get this done before 10:05.

Answers

Answer:Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles.

Step-by-step explanation:

It is correct

Describe the relationship between base 4 and exponent 3
there are no choices I just need an answer

Answers

Answer:

To the power 3 means cube.

Whenever you cube an even number it is a multiple of 8.

Whenever an exponent is used on 4, the number is always a square.

The value of the give exponent is 64.

Given that, the base is 4 and exponent is 3.

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

With the base 4 and exponent 3, we have

= 4×4×4

= 64

Therefore, the value of the give exponent is 64.

To learn more about an exponents visit:

https://brainly.com/question/15993626.

#SPJ2

I need help please. Thank you.

Answers

The answers are C and B.
Answer A has infinite solutions, and D has no solutions

Pete read 2/5 of his book on the first day and 1/4 of his book on the second day. What fraction of the book Pete has left to read after two days of reading

Answers

Answer:   7/20

=========================================================

Work Shown:

2/5 = 8/20 .... multiply top and bottom by 4

1/4 = 5/20 ..... multiply top and bottom by 5

The fractions 2/5 and 1/4 are equivalent to 8/20 and 5/20 in that order.

These new equivalent fractions add to 8/20+5/20 = (8+5)/20 = 13/20

After two days, Pete has read 13/20 of the book.

This leaves 1 - (13/20) = 20/20 - 13/20 = (20-13)/20 = 7/20 of the book left to be read.

Note how 13/20 + 7/20 = (13+7)/20 = 20/20 = 1

The temperature in Jukkasjarvi, Sweden, was -3 degrees at 3 P.M. After 6 hours, the temperature dropped to -15 degrees. The temperature dropped the same amount each hour. What was the change in temperature each hour?

Answers

It would drop -5 degrees each hour

please help me please i really need help please

Answers

Answer:

Step-by-step explanation:

x + y = 1           -------------------(I)

5x + 3y = -3 -----------------(II)

Multiply (I) by (-5)    -5x - 5y = -5

                               5x + 3y = -3          {Now add}

                                     -2y = -8  

                                        y = -8/-2

                                        y = 4

Plugin y = 4 in equation (I)

x + 4 = 1

    x   = 1 -4

    x = -3

Solution: (-3, 4)

 

If a number is decreased by 19 the result is -15 What is the number?

Answers

Answer:4

Step-by-step explanation:

The inequality x < 5 represents the possible values for x on a number line. Which is a possible value for x?

Answers

Answer: Anything less than 5.

Some examples are 4, 3, -6, -24

Hello, please help.

Find the value of x:

x^2 + 3x^3 - 2x + 9 = 24 + 54x + 92x^2 - 2x^3

Answers

Answer:

-91x² + 5x³ - 56x -15 = 0

Step-by-step explanation:

x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³

x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²

-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³

-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x

-91x² + 5x³ - 56x + 9 - 24 = 24 - 24

-91x² + 5x³ - 56x -15 = 0

Hope this helps!

Maybe brainliest?

Find the GCF of each set of numbers.
21, 30

Answers

Answer:

3

Step-by-step explanation:

3x7=21

3x10=30

PLEASE HELP ME IM BEGGING I also need the work shown

Answers

Answer:

Step-by-step explanation:

What is the least common mutliple of 10 and 12?

Answers

Answer:

2

Step-by-step explanation:

You can divide both of them by 2

Hey there!

10: 10, 20, 30, 40, 50, 60, and etc.

12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Lowest Common Multiple (LCM) of BOTH of your given NUMBERS, is most likely: 60 ✅

Answer: 60 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which expressions are polynomials? Select the two correct answers. (2 points)
ox-3+ ſo
3- +1
0-428
24 + 2y2 + 2 – w?

Answers

Answer:

Third and fourth

Step-by-step explanation:

Exponents can't be negative.

POINTS PLZ HELP!
What is the complete factorization of 8x2 − 8x + 2?

A.
2(4x − 1)2
B.
8(x − 1)(x + 1)
C.
2(2x − 1)2
D.
2(x − 2)(x + 2)

Answers

Answer:

Step-by-step explanation:

[tex]step^ 1=>2(4x^{2} -4x+1)\\step^2=> 2(2x-1)^2[/tex]

What's the slope of -x+2y=5​

Answers

Answer:

Slope = (1/2)

Step-by-step explanation:

Rearrange the equation into the y = mx + b format.

-x + 2y = 5

2y = x + 5

y = (1/2)x + (5/2)

m represents slope, which is (1/2) in this question.

Plss HELP I’LL GIVE BRAINLIEST!!!!!


A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
A)
20 cm?

B)
36 cm2

C)
54 cm

D)
58 cm2

Answers

Answer:

the answer is D:)

Step-by-step explanation:

Please Help ❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗ I Will Give 20 Points ​

Answers

Answer:

Step-by-step explanation:

When x = -4, y = 2(-4)+2 = -6.

When x = -3, y = 2(-3)+2 = -4.

Fill in the other values of y the same way.

Answer:

(-4, -6)(-3, -4)(-2, -2)(-1, 0)(0, 2)(1, 4)(2, 6)

Explanation:

y = 2x + 2

x: -4

y = 2(-4) + 2

y = -6

x: -3

y = 2(-3) + 2

y = -4

x: -2

y = 2(-2) + 2

y = -2

x: -1

y = 2(-1) + 2

y = 0

x: 0

y = 2(0) + 2

y = 2

x = 1

y = 2(1) + 2

y = 4

x = 2

y = 2(2) + 2

y = 6

See Image Below For Plotted Points

- PNW

What combination of transformations is shown below?
rotation, then translation
rotation, then reflection
reflection, then rotation
reflection, then translation

Answers

It should be a reflection and then a translation.

23
edition
**MINATO
14. What fraction of a day is 5 hours 2 minutes

Answers

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

how many feet are there in 23 yards? answer without units.​

Answers

Answer:

69 :)

Step-by-step explanation:

Answer: 69 feet

Step-by-step explanation:

1 yard= 3 feet

Given

There are 23 yards

Calculate

23 yards × 3 feet/yard= 69 feet

Hope this helps!! :)

Please let me know if you have any questions

There are 10 girls and 6 boys in a class. The teacher randomly draws one student's name and then draws another. What is the probability that the first name drawn will be a boy and the second will be a girl? (Please show work so I can understand)
60%
23.4%
16%
25%

Answers

Answer:

25%

Step-by-step explanation:

Answer:

D 25%

Step-by-step explanation:

To visit her grandmother, Melek takes a motorcycle 3.8, kilometers and a horse 3.32, point, 32 kilometers. In total, the journey takes 50.54 minutes

How many kilometers is Melek's journey in total?

Answers

Malik to visit her grandmother takes a motorcycle 3.8 kilometres at a horse 3.3 2.3 32 kilometres in total journey takes 50.5 4 minutes total kilometres which mlx journey is 7.725 kilometres

Answer:

The answer is 7.17 on khan

Step-by-step explanation:

Btw the first answer is wrong

Which model can be used to represent the number below pls help

Answers

The bottom left model.

The Rivertown city council is attempting to choose one of four sites (A, B, C, or D) as the location for its new emergency facility. After the new emergency facility becomes available for service, the current emergency facility will be shut down. The project manager has estimated the following response times in minutes from each of the proposed sites to the four areas that must be served by the emergency facility.

proposed-site Area-Served
1 2 3 4
A 5.2 4.4 3.6 6.5
B 6.0 7.4 3.4 4.0
C 5.8 5.9 5.9 5.8
D 4.3 4.8 6.5 5.1

The number of emergency runs from the current emergency facility to each of the four areas over the past year is as follows:

Area 1 2 3 4
Number-runs 150 65 175 92

Compute the weighted mean response time from the proposed locations and determine which proposed site should be selected for the new emergency facility.

a. site A
b. site B
c. site C
d. site D

Answers

Answer:

SITE A

Step-by-step explanation:

Given :

proposed-site Area-Served

1 2 3 4

A 5.2 4.4 3.6 6.5

B 6.0 7.4 3.4 4.0

C 5.8 5.9 5.9 5.8

D 4.3 4.8 6.5 5.1

Area 1 2 3 4

Number-runs 150 65 175 92

Computing the weighted average for the 4 sites :

Site A:

((150*5.2) + (65*4.4) + (175*3.6) + (92*6.5)) / (150 + 65 + 175 + 92)

= 2294 / 482

= 4.7593

Site B:

((150*6.0) + (65*7.4) + (175*3.4) + (92*4.0)) / (150 + 65 + 175 + 92)

= 2344/ 482

= 4.863

Site C:

((150*5.8) + (65*5.9) + (175*5.9) + (92*5.8)) / (150 + 65 + 175 + 92)

= 2819.6/ 482

= 5.850

Site D:

((150*4.3) + (65*4.8) + (175*6.5) + (92*5.1)) / (150 + 65 + 175 + 92)

= 2563.7/ 482

= 5.319

From the weighted average response time computed for the different sites ;

The best location for the emergency facility would be one with the least average response time; which is SITE A.

Lester's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 100 espressos in all, 40% of which were single-shot. How many single-shot espressos did the cafe sell?

Answers

Answer:

The cafe sold 40 single shot espressos.

Step-by-step explanation:

Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to
perform the computation How reasonable is your estimate when compared to the actual answer?
2815-15.458
An estimate of the difference is (Type a whole number

Answers

Answer:

Step-by-step explanation:

2915 can stay as it is; 15.458 should be rounded down to 15.  Then we have

2915-15, or 2900 (which is a very reasonable estimate).

What is the ratio of a:b, knowing that a-b/a+b = 3/5.

Answers

Answer:

4:1

Step-by-step explanation:

[tex]\frac{a-b}{a+b}[/tex] = [tex]\frac{3}{5}[/tex]

4-1 = 3

4+1 = 5

Where do planes ABC and BFG intersect?

Answers

Answer:

Letter B

Step-by-step explanation:

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