The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm.
(a) State the hypotheses to test whether the mean is smaller than it is supposed to be.
(b) What is the test statistic?
(c) At α = .05, what is the critical value for this test?
(d) What is your conclusion?

Answers

Answer 1

Answer:

|z(s)| <  |z(c)|

Then  z(s) is in the acceptance region we accept H₀.

We don´t have evidence to support that candy bar mean weight is below 56 gm

Step-by-step explanation:

Goal mean     μ  =  56 gm

standard deviation   σ  = 0,77

From random sample:

mean    x  = 55,82

sample size  n  = 49

We assume a normal distribution ( is a manufacturing controlled process)

a) Hypothesis Test:

Null Hypothesis                         H₀          x   =  μ

Alternative Hypothesis             Hₐ           x  <  μ

Alternative hypothesis is telling us that the test is a one-tail test to the left

as n > 30 we use the normal distribution.

b)  z(s) =  ( x  -  μ  ) / σ / √n

z(s)  =  55.82  -  56 ) * 7 / 0,77

z(s)  = 0,18*7/0,77

z(s)  =  - 1.6363

c)  if  significance level is α  = 0.05  then  α/2 = 0,025

Then from  z table, z  score for  0,025     z(c) = -1.96

d)  Comparing  z(c)  and z(s) modules

|z(s)| <  |z(c)|

Then  z(s) is in the acceptance region we accept H₀.

We don´t have evidence to support that candy bar mean weight is below 56 gm


Related Questions

I need this please help me

Answers

9514 1404 393

Answer:

  L'(4, -3)

Step-by-step explanation:

The reflection over the horizontal line y=-1 effects the transformation ...

  (x, y) ⇒ (x, -2-y)

So, the coordinates of L are transformed to ..

  L(4, 1) ⇒ L'(4, -2-1) = L'(4, -3)

The Sine Function

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:

To get a feel for the relationship between the month and the average high temperatures, the data is plotted on the following scatter plot.

If the plot was extended to a two year period with 1 = Jan of the first year, 12 = Dec of the first year, 13 = Jan of the second year, 24 = Dec of the second year, describe the plot with the additional information.

a. Linear
b. Random dots
c. Wave-like and repetitive
d. Quadratic

Please select the best answer from the choices provided

Answers

Answer:

C. Wave-like and repetitive

Step-by-step explanation:

I calculated it logically

please help, 6th grade math ( look at the picture )

Find the volume for problems 1 - 6 and the surface area for problems 7 - 12

Answers

Answer:

1. 360cm^3

2. 240cm^3

3. 150cm^3

4. 210cm^3

5. 512cm^3

6. 864cm^3

7. 92cm^2

8. 150cm^2

9. 446cm^2

10. 174cm^2

11. 384cm^2

12. 540cm^2

Step-by-step explanation:

Solve the inequality below. Use the drop-down menus to describe the solution and its graph.
-7% + 13 > 41

Answers

Answer:

x < -4

Step-by-step explanation:

I guess that the inequality is:

-7*x + 13 > 41

Solving this is equivalent to isolating x in one side of the inequality.

To do it, we first can subtract 13 in both sides:

-7*x + 13 - 13 > 41 - 13

-7*x > 28

Now we can divide both sides by -7, because we are dividing by a negative number, the direction of the inequality changes:

-7*x/-7 < 28/-7

x < -4

The graph of the solution is an open dot at x = -4 and a line that starts there and goes to the left.

the perimeter of a square field is 880m. Find it's area in hectares​

Answers

This is the answer hope it helps

The area of the square field is 4840 hectares.

What is perimeter of square?

Perimeter of the square is defined as addition the lengths of the square's four sides.

Perimeter of the square equation is 4a

Where, a is length of the square

Given data as :

Perimeter of the square field = 880 m

Side of the square = Perimeter/4

Side of the square = 880/4

Side of the square = 220 m

So, length of each side of the square is 220 m

Area of square = Side × Side

Area of square = 220 m  × 220 m

Area of square = 48400 square meters

Area of square = 48.4 square kilometers

As we know that 1 sq km = 100 hectares

So, 48.4 km = 48.4 × 100 = 4840 hectares

Hence, the area of the square field is 4840 hectares.

Learn more about Perimeter of square here:

https://brainly.com/question/11495285

#SPJ2

Which phrases relate to perimeter? Check all that apply.
refers to the distance around a figure
given in square units
used to find the amount of fencing
o used to find the amount of carpeting
estimated by counting the squares inside
calculated by adding the side lengths

Answers

Answer:

(a) refers to the distance around a figure

(c) used to find the amount of fencing

(e) estimated by counting the squares inside

(f) calculated by adding the side lengths

Step-by-step explanation:

In the simplest term, the perimeter of a given figure is the distance around that figure. This also means that the perimeter of a figure can be found by adding the lengths of all its sides.

If perimeter is the distance around a figure, then it could be measured in any specified units of length e.g meter, yard, inch e.t.c.

Perimeter can also be estimated by counting the squares inside a given enclosure.

A practical application of perimeter is that it comes to play when, for example, there is a need to build a fence around an area.

PS:

For other options;

=> Perimeter is not given in square units. That is rather typical of area

=> Perimeter is not used to find the amount of carpeting. That is also typical of area

Answer:

a c f

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The histogram shows the number of people in different age groups who visited Ray’s coffee shop on a Tuesday morning.
1. the maximum customer age recorded in
the histogram
2. the number of customers less than 23 years
old recorded in the histogram
3. the total number of customers recorded in
the histogram
4. the difference of the number of
customers in the age groups 27–30 and
19–22 recorded in the histogram
48
30
6
60
42

Answers

Answer:

The real answers are 60,6,42,30

Step-by-step explanation

The histogram shows the number of people in different age groups who visited Ray’s coffee shop on a Tuesday morning.

1. the maximum customer age recorded in

the histogram

2. the number of customers less than 23 years

Answer: The number of customers less than 23 years old recorded in the histogram is 42.

The total number of customers recorded in the histogram is 60.


The maximum customer age recorded in the histogram is 30.


The difference of the number of customers in the age groups 27-30 and 19-22 recorded in the histogram is 6.

Suppose a sample of 80 with a sample proportion of 0.58 is taken from a
population. Which of the following is the approximate 99.7% confidence
interval for the population parameter?

Answers

Answer:

99.7% confidence interval is [tex][0.4162,0.7437][/tex]

Step-by-step explanation:

The formula for a confidence interval for a population proportion is [tex]CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex] where [tex]\hat{p}[/tex] is the sample proportion, [tex]n[/tex] is the sample size, and [tex]z^*[/tex] is the critical score for the desired confidence level.

We are given a sample size of [tex]n=80[/tex] and a sample proportion of [tex]\hat{p}=0.58[/tex]. Our critical score for a 99.7% confidence level would be [tex]z^*=normalcdf(0.9985,0,1)=2.9677[/tex]

Therefore, the approximate 99.7% confidence interval for the population parameter is [tex]CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438][/tex]

So we are 99.7% confident that the true population proportion is contained within the interval [tex][0.4162,0.7437][/tex]

Answer:

(0.414, 0.746)

Step-by-step explanation:

big brain

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

i think B! please correct me if i am wrong

plzzzzzzzz help for a brainly

Answers

It is an isosceles triangle.

How much larger is the volume of cylinder when you quadruple the radius of the base?

Answers

Answer:

siygxuyasvc

Step-by-step explanation:

Type the integer in the box.
Solve:: t/2 + 10 =-40

Answers

Answer:

t = -100

Step-by-step explanation:

Simplify to isolate t:

[tex]\frac{t}{2}+10-10=-40-10[/tex]

[tex]\frac{t}{2} * \frac{2}{1} = -50 * 2[/tex]

[tex]t = -100[/tex]

Which ordered pair is a solution to the equation?
4y = -7x-5
(2,-2)
(1.3)
(-5,0)
(-3, 4)

Answers

Answer:

Step-by-step explanation:

4(4) = -7(-3) - 5

16 = 21 - 5

16 = 16

answer is D

Answer: (-3.4)

Step-by-step explanation: took test 6.02

Foundations wrap up Systems of Equations

dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero

Answers

Complete question :

dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.

Answer:

24.43 feets

Step-by-step explanation:

Using trigonometry :

Sinθ = opposite / hypotenus

Opposite = height, h

Hypotenus = 26

Sin 70° = h / 26

0.9396926 * 26 = h

height, h = 24.43 feets

The sine rule is the ratio of the height and hypotenuse. Then the height of the wall is 24.43 ft.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

Dion places a ladder against the side of his house as shown in the diagram below.

Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero.

We have

Hypotenuse (H) = 26 ft

Let h be the height of the la

Then the height of the wall will be given by the sine rule.

[tex]\rm h = H sin \ \theta \\\\h = 26 * sin \ 70^o\\\\h = 24.43 \ ft[/tex]

The height of the wall is 24.43 ft.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

PLZ ANSWER NO LINKS or i will Ban u...

Answers

Answer:

Grape Juice 250

Apple Juice 2,250

Ginger Ale 2,500


Math problem 16.

Find the value of x, y and z.

Answers

Answer:

sqrt. 244

Step-by-step explanation:

a^2 + b^2 =c^2

10^2 + 12^2 =244

c^2 =244

c= sqrt. 244

Answer:

if x+y equal 90

and z equal 2 sqrt 61

if you want the real values of the x and y iam not sure but you have to use ratios and proportions Formula for example 24k=90

k =15/4

y=10k

x=12k

like this hopefully its helpful

8).
9).
7). Degrees
Degrees
Degrees
A
77
Teacrerit20
HELP ASAP PLEASE

Answers

7. x= 47
8. x= 28
9. x= 26

Answer:

1) 47 degrees

2) 28 degrees

3) 26 degrees

Step-by-step explanation:

a triangle always equals 180 degrees, you add together the numbers you have then subtract it from 180 then you'll get your answer <3

What is the simplest form of 1
3 (45 −
18
7 )?

Answers

Answer:

15x - 6/7    

Step-by-step explanation:

Solve for x please :))

Answers

Answer:

25

Step-by-step explanation:

90 - 65 = 25

Therefore, x is 25

Thenks and mark me brainliest :))

I need help plsss I will give u more points

Answers

Answer:

The value of 0.9* 10² is D.90.4*(12-8)+2³4*4+2³16+824

a.

False : it is to add 16+8

b.

False : its 8.

c.

True.

d.

False : its 24.

3.

side of cube [a]=2ft

volume of cube [V]=a³=2³=8ft³

He needs 1 bag to buy.As its volume is equal.

The sales manager gathered information on the numbers of sales calls made and the number of copiers sold for a random sample of sales representative. Is there a positive correlation between calls made and copiers? Test at the 0.05 level of significance. Determine the 90% prediction interval for 60 number of calls made. *
Calls,X Sold. Y
20 40
20 50
40 60
50 90
40 80
20 40
40 60
30 60

Answers

Answer:

b

Step-by-step explanation:

PLS HELP yxyx 115 x Х y=[ ? ]​

Answers

Answer:

y=25

Step-by-step explanation:

the straight line is 180

so, 180-115=65

so, now we know x=65

triangle =180

180-65-90=25

A system has two identical components, and requires both the components for system success. If one component fails, the other cannot fail while the failed component is being repaired. The component failure rates and repair rates are 0.1 failures/year and 365 repairs/year respectively. If a similar component is carried as a spare with an average installation time of 1 hour, evaluate the probability of failure, frequency of failure and the average down time of the system.

Answers

Answer:

Step-by-step explanation:

We are given that:

The failure rate = 0.1 failure/year

i.e.  = [tex]\dfrac{0.1}{365\times 24}= 0.00001 \ failure /hour[/tex]

The repair rate = 365 repair/year, if we convert this to repair/hour; we get:

[tex]= \dfrac{365}{365\times 24} \\ \\ = 0.04 \ repair/ hour[/tex]

Time (t) = 1 hour

P(failure) = 1 - R  ; if (t=1)

where:

[tex]Reliability (R ) = e^{-\lambda t}(1+ \lambda t) \\ \\ = e^{-0.00001*1}(1+0.00001 *1) \\ \\ \simeq 0.9999[/tex]

P (failure) = 1 - R  

= 1 - 0.9999

= 0.0001

≅ 0

The frequency meantime of failure = [tex]\dfrac{1}{\lambda}[/tex]

[tex]\dfrac{1}{0.00001}[/tex]

= 100000

The average downtime of repair for the system = [tex]\dfrac{1}{\mu}[/tex]

[tex]=\dfrac{1}{0.04}[/tex]

= 25

Find all zeros.
9) f(x) = x + 5x? - * - 5
10) f(x) = x3 + 2x2 - x - 2
11) f(x) = x3 – 3x2 - 9x - 5
12) f(x) = x - 5x² + 4x - 20
13) f(x) = x4 – 16
14) f(x) = x* + 7x + 11x² + 5x
Please help

Answers

Answer:

look at degree of polynomial

Step-by-step explanation:

Could you please explain in detail how to graph this. Thank you:)

Answers

just divide and that it

The weight, in pounds, of a newborn baby tt months after birth can be modeled by the equation W=1.75t+6.W=1.75t+6. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

-3 x-3

Step-by-step explanation:

4-4=0   -3x-3

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

___% of results will be false negatives, and
___% of results will be false positives.

Answers

Answer:

I believe 2% will be false negatives and 3% will be false positives

Step-by-step explanation:

pls help!! person with correct answer will be marked brainliest

Answers

Answer:

X= 14  

The acute angle measures 34 degrees.

The obtuse angle measures 146 degrees.

Step-by-step explanation:

To solve this question, start by solving for x. In order to solve for x, know that angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle. A supplementary angle is an angle in which the sum of two angles equal 180 degrees.

Since angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle, we know that the sum of the two angles equal 180 degrees. To find x, write an equation that sets angle (10x+6) degrees and angle (3x-8) degrees equal to 180 degrees. The equation will look like (10x+6) + (3x-8) =180. To start solving the equation, combine like terms, which will look like 13x-2=180. Next, add 2 to both sides, and the equation will look like 13x = 182. Then, divide both sides by 13, and x will equal 14.  

Since the x is now known, the actual degrees of the angles can be found. To find the actual degrees of both angles, start by plugging 14 into each angle equation.

For 10x+6, plug 14 into x, and the equation will look like 10(14)+6. Next, simplify the equation, and the answer will be 146 degrees. The 146 degrees is the obtuse angle because an obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.  

For 3x-8, plug 14 into x, and the equation will look like 3(14)-8. Next, simplify the equation, and the answer will be 34 degrees.The 34 degrees is the acute angle because acute angles measure less than 90 degrees.

To check if the angles are correct, add both angles, and the answer will equal 180 degrees, which then makes them supplementary angles.

Beth measured a piece of wood to be 12.7 centimeters in length. Knowing that there are about 2.54 centimeters in an inch, she can use the formula below to find n , the length of the wood, in inches. 2.54n=12.7 What value of n will make this equation true?

Answers

Answer:

[tex]n = 5[/tex]

Step-by-step explanation:

Given

[tex]2.54n = 12.7[/tex]

Required

Find n

We have:

[tex]2.54n = 12.7[/tex]

Divide both sided by 2.54

[tex]\frac{2.54n}{2.54} = \frac{12.7}{2.54}[/tex]

[tex]n = \frac{12.7}{2.54}[/tex]

[tex]n = 5[/tex]

Select other ways to write 0.125

Answers

Answer:

1/8

Step-by-step explanation:

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