A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 16 bars from one day's output of 4000 bars. The average weight of the 16 bars is only 48.5 grams. The inspector wishes to test the null hypothesis that the factory is doing what it is supposed to on this day against the alternative that the company is cheating the consumer. Assume that the weights of all the candy bars that are produced follow the normal curve with a SD of 2 gram(s).
Which significance test should be used?
A z test because the SD of the population is known and the weights follow the normal curve. You are correct. Computer's answer now shown above Previous Tries Your receipt no. is 159-2320
Do you need to use SD+ o estimate the SD of the population?
No, we're given the SD of the population, we don't need to estimate it. Incorrect.
Computer's answer now shown above ries 1/1 Previous Tries
Compute SE. (Give your answer as a decimal to two places) Submit Answer Tries 0/5
Compute the test statistic. (Round your answer to two decimals, using previously rounded answer.) Submit Answer Tries 0/5
What do you conclude?
A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.
B. Cannot reject the null, it's plausible that the factory is making the bars 50 grams as they claim to be doing. Submit Answer Tries 0/1

Answers

Answer 1

Answer:

Question 1

The correct option is  A

Question two

 The correct option is B

Question three

   [tex]SE= 0.5[/tex]  

Question four

   [tex]z = - 3 [/tex]

Question five

The correct option is A

Step-by-step explanation:

   The population mean is  [tex]\mu =  50 \ grams[/tex]

   The sample size is  n = 16

   The population size is N  = 4000

   The sample mean is  [tex]\= x  =  48.5 \grams[/tex]

   The standard deviation is [tex]s  =  2 \ gram(s)[/tex]

Considering the first question

 The correct option is  A

z test because the SD of the population is known and the weights follow the normal curve

Considering  the second question

The correct option is  B

Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.

Considering  the third question  

   Generally the standard error is mathematically represented as

         [tex]SE= \frac{s }{\sqrt{n} }[/tex]

=>      [tex]SE= \frac{2 }{\sqrt{16} }[/tex]

=>       [tex]SE= 0.5[/tex]    

The null hypothesis is  [tex]H_o :  \mu  =  50[/tex]

The alternative  hypothesis is  [tex]H_a :  \mu  <  50[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{ \= x  - \mu  }{ SE }[/tex]

=>    [tex]z = \frac{ 48.5 - 50 }{ 0.5}[/tex]

=>   [tex]z = - 3 [/tex]

Generally the p-value is mathematically represented as

     [tex]p-value  = P(Z <  z )[/tex]

=>  [tex]p-value  = P(Z <  - 3  )[/tex]

From the z-table the

    [tex]P(Z <  - 3  ) =0.0013499[/tex]

=>  [tex]p-value  = 0.0013499[/tex]

From the obtained values we see that

  [tex]p-value  <  \alpha[/tex]

So we reject the null hypotheses

The conclusion

it's very unlikely that the factory is making the candy bars 50 grams as they claim

A Candy Factory That Produces Chocolate Bars Claims Each Bar Weighs 50 Grams, At Least That Is What Is
Answer 2

Testing the hypothesis, we have that:

The standard error is of 0.5.The test statistic is z = -3.A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.

At the null hypothesis, we test if the factory is doing what it is supposed to, that is, the mean is of 50 grams, hence:

[tex]H_0: \mu = 50[/tex]

At the alternative hypothesis, we test if the factory is cheating the customer, that is, the mean is of less than 50 grams, hence:

[tex]H_1: \mu < 50[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

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

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 48.5, \mu = 50, \sigma = 2, n = 16[/tex]

Hence, the standard error is:

[tex]S_e = \frac{2}{\sqrt{16}} = 0.5[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{S_e}[/tex]

[tex]z = \frac{48.5 - 50}{0.5}[/tex]

[tex]z = -3[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is less than the critical value for the left-tailed test, we can reject the null hypothesis.

A similar problem is given at https://brainly.com/question/14983950


Related Questions

used to parallel lines cut by transversal below to answer the question. which statement is not a true statement will mark brainest ​

Answers

Answer:

B

Step-by-step explanation:

there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)

Answer:

see attached

Step-by-step explanation:

1. Un arquitecto construirá una casa de interés social en un área rectangular de 52 m². El
frente será el ancho de la casa y el largo será dos veces el ancho.
a.
Traza una figura geométrica que represente el terreno
b.
¿Cuál es la variable con la que representarías el ancho?

Answers

Answer:

Definamos:

A = Ancho

L = Largo.

Sabemos que el área es rectangular, y para un rectángulo de ancho A y largo L, el área es:

Área = A*L.

Y sabemos que L = 2*A.

a) Una imagen se encuentra abajo.

b) Como podemos escribir la variable L en términos de la variable A, podemos escribir:

Área = A*L = A*(2*A) = 2*A^2

Entonces la variable que usamos es el ancho.  

Ahora podemos resolver el problema:

52m^2 = 2*A^2

52m^2/2 = 26m^2 = A^2

A = √(26m^2) = 5.1 m

Entonces el largo es:

L = 2*A = 2*5.1m = 10.2 m

What is the sum of the fractions? Use the number line to help find the answer.

3/5 plus -7/5

Answers

Answer:

-4/5

Step-by-step explanation:

Answer:

The answer is -4/5

Step-by-step explanation:

Hope this helps!:)

The quantities and are proportional​

Answers

9514 1404 393

Answer:

  r = 1

Step-by-step explanation:

Solving the equation for r gives ...

  r = y/x

Using the first line of the table, we find r to be ...

  r = 5.8/5.8 = 1

The constant of proportionality is r = 1.

AME: Carmen estimates that she will spend $250 on new summer clothes. She actually spent $350. What is the percent error? Round to the nearest whole percent.​

Answers

Answer:

71 %

Step-by-step explanation:

250/350 = 0.714285    

71.4285   move decimal 2 places to the right

71 %  rounded to whole percent

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

less than 90°.
greater than 90°.
congruent to angle B.
congruent to angle C.

Answers

The correct answer is less than 90°

this is due today help

Answers

Answer:

Sunday: 50 Monday: 60 Tuesday: 50 Wednesday: 50 Friday: 40 Saturday: 40

Step-by-step explanation:

That's If Its To The Nearest Tenth If This Is What U Wanted I'm Just Doing What The Instructions Told Me

Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial

Answers

Answer:

1-2i

Step-by-step explanation:

complex roots come in conjugate pairs

Solve the system of equations using substitution y = 3-4x y = 3x -11

Answers

Point form is (2,-5) and equation form is x=2,y=-5 hope this helps

Given a linear equation with a slope of - 13/4, determine the slope of a line that is perpendicular. Enter the answer as a fraction.

Answers

Answer:

4/13

Step-by-step explanation:

To find the perpendicular slope, find the negative reciprocal, which is 4/13 in this case. All you do is flip the numerator and denominator, and change the sign.

Answer:

4/13 should be the answer as it is the reciprocal.

Step-by-step explanation:

I learned this like 2 or 3 years ago so im a bit rusty but im pretty sure thats the answer

5. This ingredient can be an alternative for cornstarch,
A. Egg
C. Salt
B. Flour
D. Sugar

Answers

Answer:

Your answer would be flour

Step-by-step explanation:

flour helps thicken things just like cornstarch does

Answer:

rice flour, ground flaxseeds, wheat flour, potato flour, and regular flour

Step-by-step explanation:

These can used because they wont make food to thick and its good for sauses.

A test contains two multiple-choice questions. If a student makes a random guess to answer each question. (Hint: Consider two outcomes for each question—either the answer is correct or it is wrong.) 2.2.1 How many outcomes are possible?

Answers

Answer: 2

Step-by-step explanation: he could ethier get t right or get it wrong

Prove the following

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Answers

Step-by-step explanation:

5. I assume you mean this:

(cos²x / sin x) + sin x

Add using common denominator.

(cos²x / sin x) + (sin²x / sin x)

(cos²x + sin²x) / sin x

Use Pythagorean identity.

1 / sin x

csc x

6. tan²x cos²x

Write tangent in terms of sine and cosine.

(sin²x / cos²x) cos²x

Simplify.

sin²x

Use Pythagorean identity.

1 − cos²x

Alice is completing the table so that it is a function. Which values can she NOT use to complete
the table? Explain.

Answers

It’s the 2nd option

78÷9 please there is a reminder

Answers

8.66666666667

But if you need a smaller number it would be 8.66 or 8.6

Hope dis helps TwT

4(a + 2) + 2 = 4 - 2(-2a - 3)

Answers

Answer:

0=0

Step-by-step explanation:

4(a + 2) + 2 = 4 - 2(-2a - 3)

4a +  8 + 2 = 4 + 4a + 6

4a + 10 = 10 + 4a

0 = 0

What is the value of the question mark?
5/10=?/70

Answers

Answer:

35

Step-by-step explanation:

5/10 x 7 = 35/50

Answer:

35/70

Step-by-step explanation:

HELP ASAPPPP
What is the equation of this graphed line? If the line passes through (-6,-3) and (6,-7)

Answers

Answer:

y= -1/3x - 5

Step-by-step explanation:

Answer:

The answer would be y=-1/3x-7.

Step-by-step explanation:

Using the formula y2-y1/x2-x1 to find the slope of the line, plug in the numbers and you will get a slope of -1/3. Now using the the formula y-y1=m(x-x1) and plug in the numbers, and you will get the equation y=-1/3x-7.

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)​

Answers

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{0+4}{-1-1}[/tex]

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2



PLEASE HELP ME
THIS IS DUE IN 10 MINUTES

Answers

Answer:

C and D. You're welcome :)

Step-by-step explanation:

Answer:

i think it is A, B, and D

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

What is the radius of a circular swimming pool with a diameter of 2 feet?

Answers

Answer:

1 foot

Step-by-step explanation:

Answer:

it is 1 foot can i have brainly lol

Step-by-step explanation:

Do you wants to buy a bike for $180 he has $40 Dave mows lawns for $10 per lawn Write in equation that can be used to find eggs the number of lawns Dave needs mow to have enough money to the to buy his bike

Answers

Answer:

Dave needs to mow 14 lawns to have enough money to buy a bike.

Step-by-step explanation:

180-40=140, 140/10=14. Dave needs to mow 14 lawns to have enough to buy a bike.

I REPEAT BRAINIEST ON THE LINE!!!!

Mikaela is competing in a race in which she both runs and rides a bicycle. She runs 4.5 kilometers in 0.5 hour and rides her bicycle 18.75 kilometers in 0.75 hour. If she runs for 1 hour and bikes for 1 hour at the same rates as she does in the race, how far will she travel?

Answers

Answer:

25.67 km

Step-by-step explanation:

4.5 + 0.75 + 18.75 - 0.5 - 2 hrs = 25.67km

Answer:

about 35 km

Step-by-step explanation:

4.5 km divided by 0.5hour/30minutes = 6 min, 40 sec per km

18.75 divided by 0.75hour/45 minutes = 2 min 24 sec per km

60 divided 6.40 = about 9

60 divided 2.24 = about 26

26+9=35

I hope thats correct lol

find three ratios that are equivalent to 20:25

Answers

Answer:

4/5 , 40/50, 80/100

Step-by-step explanation:

There are two necklaces Maria wants to buy. One is $28.66 and the other is $19.39. She has a coupon for $5 off the total bill when you purchase two items. If she buys both, how much will she owe before taxes?​

Answers

Answer:

$43.05

Step-by-step explanation:

Add $28.66 and $19.39, after that you get 48.05. Then subtract 5 from it and you get $43.05

please help me XD i dont know how to answer this

Answers

Answer:

the first three are all functions

Step-by-step explanation:

A WAY easier way to know if it is a function is to see if there are two of the same x-intercept If there is, then it is NOT a function.

A family buys 8 tickets to a show. They also pay a $5
parking fee. They spend $61 to see the show.
What is the solution to the story?

13.80
10.60
07.00
8.25

Answers

Answer:

C. $7.00

Step-by-step explanation:

8 times 7 is 56 + 5 = 61

Ashley has sold 70% of the 20 candy bars she is supposed to sell for her softball team. How many candy bars does she have left to sell?

Answers

Answer:

70/100=x/20 cross multiply you get 1400/100=14

If Ashley sold 70% of her candy bars it means she has 30% left to sell

of means times

30%=.30

20 x .30= 6 candy bars to sell

Step-by-step explanation:

give brainliest please :)

Answer:

6

Step-by-step explanation:

70% of 20 is 14

20-14=6

let me  know if im wrong

A dolphin jumped from 5 feet below the surface of the sea. Jane wrote −5 to represent the depth from which the dolphin jumped. What does 0 represent in this situation?

Answers

0 represent the sea surface since the dolphin jumped from five feet below the sea surface and since Jane put that the dolphin jumped at -5 below the sea surface that would mean that 0 must represent the sea surface.

Answer:

it represents the surface of the sea

Step-by-step explanation:

i did the test lol :)

How is a debit card similar to an ATM card?
a.
Each is only available to adults 18 and older.
b.
Any one person can only have one of each at a time.
c.
Both can be used to withdraw money from ATMs.
d.
Both can be used to make purchases online.

Answers

Answer:

c is your answer hope this helps

Answer:

C

Step-by-step explanation:

took the test

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