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:
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
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.
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Which number is greater than the absolute value of LaTeX: -\frac{3}{8}− 3 8?
Answers
Answer:
0.5
Step-by-step explanation:
We have to find a number which is greater than the absolute value of -3/8.
Absolute value of -3/8 = 3/8
3/8=0.375
Now, we have to find a number which is greater than 0.375
1/4=0.25
0.25 is smaller than 0.375
0.5 is greater than 0.375
also -5/8 and -1/8 are less than 0.375
Hence, the only number which is greater than the absolute value of -3/8 is:
0.5
Step-by-step explanation:
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The lines given in multiple choice, no line with the same gradient/slope as line y = 3x - 2.
Step-by-step explanation:
From y = 3x - 2,
The slope = 3
Let's check slopes of lines from multiple choice:
From first line
4x + 2y = 5
2y = -4x + 5 (dived 2 both sides)
y = - 2x + 5/2
The slope = -2
Continue with remaining three equations you get slopes: -1/2, -4 and 4.
Hence no equations above represent parallel equation to y = 3x - 2
1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi
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Answer:
answer yourself
Step-by-step explanation:
Jessica had 95 dollars to spend on 6 movies. After buying them she had 17 dollars. How much did each movie cost ?
show work
Answers
Answer:
$13 per movie
Step-by-step explanation:
Each movie costed $13 because if Jessica had $95 to spend on 6 movies, and she had $17 after buying all of them, the 6 movies costed a total of $78, and 78 divided by 6=$13 per movie. Hope it helps!
Answer:
13
Step-by-step explanation:
95-17 = 78.
then divide 78 by 6 which equals 13
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Answer:
2nd Choice- $2.14 total
Step-by-step explanation:
The expression is just adding the factors, 1.19 and 0.95. Then the counting sets, a whole square shaded is 100 units, a bit more is shaded of the second square, which signifies the .19 cents. Then yellow shade shows the lip balm cost, which is 0.95.
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7. option 2 : 104
8. option 4 : 54
9. option 2 : 23
10. option 2 : 6
11. option 2 : 6
Which table represents a function?
Answers
Answer:
B
Step-by-step explanation:
Which of the following is a cost homeowners insurance does not protect?
a. The cost of repair or replacement of a home lost in a natural disaster.
b. Additional living expenses required while your home is repaired after a disaster.
c. Replacement costs for all contents in your home, including high cost electronics.
d. The cost of medical expenses incurred by somebody getting injured on your property.
Answers
Answer:
Replacement costs for all contents in your home, including high cost electronics. In my case it was C on edge
Step-by-step explanation:
The solution is, c. Replacement costs for all contents in your home, including high cost electronics, is a cost homeowners insurance does not protect.
What is insurance?Insurance is an arrangement by which a company or the state undertakes to provide a guarantee of compensation for specified loss, damage, illness, or death in return for payment of a specified premium.
here, we have,
Personal property replacement cost endorsement under her homeowners policy comes with limits of the policy that only covers insurance on replacement cost for structural damage and damages or loss of materials of similar kind and quality.
Some items such as art items, paintings, an antique chair, jewelry and collectibles are not usually listed in the policy contract except a scheduled personal property coverage is added to the Personal property replacement cost endorsement contract.
Therefore, from this question, The solution is, c. Replacement costs for all contents in your home, including high cost electronics, is a cost homeowners insurance does not protect.
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What is a more economical purchase, a 5-pound box of spaghetti priced at $6.02, or a 1.5-pound box for $1.70?
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2 times what equals 84
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Answer:
42
Step-by-step explanation:
Let x be the missing number in the equation
Write out the equation: 2x = 84Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 42
I hope this helps!
the sum and twice the number and 18 is greater than 25
Answers
Answer:
Step-by-step explanation:
45
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Answers
Answer:
1 7/20
Step-by-step explanation:
Answer:
27/20 or 1 7/20
Step-by-step explanation:
1) make the denominators the same
2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/202) add the numerators
8+5+14=273) the denominator stays the same
27/204) simplify it to 1 7/20
Here is a system of equations: 7x-4y=-11
7x+4y=-59 would you rather use addition or subtraction to solve this system. Explain your reasoning.
Answers
Answer:
Addition
Step-by-step explanation:
Better to use addition since you already have a -4y and +4y. So if you add them together it will cancel out!
x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
We have a system of equations -
7x - 4y = - 11
7x + 4y = - 59
We have to investigate on the process of solving these equations.
What do you mean by System of Linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables.
According to the question, we have -
7x - 4y = - 11
7x + 4y = - 59
We would subtract second equation from first as follows -
7x - 4y - (7x + 4y) = - 11 - (- 59)
7x - 4y - 7x - 4y = -11 + 59
-8y = 48
y = - 6
therefore -
7x - 4y = - 11
7x - 4(- 6) = -11
7x + 24 = -11
7x = -11 - 24
7x = - 35
x = -5
Hence, x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
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Which function has a constant additive rate of chan of -1/4
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Answer:
y -12 21 -1.5 -11 11 -2 -10 14 -2.5 -9 17 ?
Step-by-step explanation:
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answers
Answer:
Rs. 250
Step-by-step explanation:
The price of 41 g. apple is Rs 10.25
The price of 1 g. apple is Rs 10.25/41, = Rs 0.25
The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250
What is the equation of the line that passes through the point -5, two and has a slope of -2/5
Answers
9514 1404 393
Answer:
y -2 = (-2/5)(x +5)
Step-by-step explanation:
You can put the given values for the point ((h, k) = (-5, 2)) and slope (m = -2/5) into the point-slope form of the equation for a line:
y -k = m(x -h)
y -2 = -2/5(x +5)
_____
This equation simplifies to ...
y = -2/5x
12x+7<−11 AND5x−8≥40
Answers
Answer:
12x+7<−11 x < - 1.5
5x−8≥40 x ≥ 9.6
Step-by-step explanation:
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5x−8≥40 Move the constant to the right. 5x ≥ 40+8 Then, after we add the constants, we can divide both sides by 5. 5x ≥ 48 -> x ≥ 9.6
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Answer:
DCE is 54°
Step-by-step explanation:
To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:
for angle EDC: 180 - (9x - 31)
for angle CED: 180 - (4x + 33)
for angle DCE: 180 - (7x - 2)
we know that all angles in a triangle add up to 180°. So, our equation is:
180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.
simplify:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180
540 - 20x = 180
540 - 180 = 20x
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for angle CED: 180 - (4•18 + 33)=75°
for angle DCE: 180 - (7•18 - 2)=54°
AYUDAAAAAAAAA PORFA NO LE ENTIENDO
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b) si, 1/8
c) verde
d) amarillo
e) amarillo 10, rojo 20, verde 30, azul 20
f) amarillo 100, rojo 200, verde 300, azul 200
g) amarillo 100/800, rojo 200/800, verde 300/800, azul 200/800
Me podrías marcar como mejor respuesta porfa
Situation: The No Doze Cafe sells Pumpkin Spice Lattes for $3 and Caramel Hot Apple Cider for $2. On a cool autumn morning, the shop sold 5 more Ciders than Lattes and made $25.
Define x and y variables and write the equation/s.
Answers
3x+2y=25
y-x=5
y=5+x
3x+2(5+x)=25
3x+10+2x=25
5X=15
X=3
Y=3+5=8
6y-2+x
I need Help Thursday 22 oct
Answers
Answer:
x+6y-2 is the simplfied answer
Step-by-step explanation:
Which expression is equivalent to 42 + 63?
Answers
Answer: 104-63 maybe?
Step-by-step explanation:
Using what you noticed, find the measures of the four angles at point B in this second diagram. Lines AC and DF are parallel.
Answers
Answer:
The measures of the four angles at B are
m∠EBC = 34°
m∠ABH = 34°
m∠EBA = 146°
m∠CBH = 146°
Step-by-step explanation:
∵ AC // DF
∵ HG is the transversal
∴ m∠GEF = m∠EBC ⇒ corresponding angles
∵ m∠GEF = 34°
∴ m∠EBC = 34°
∵ GH intersects AC at B
∴ m∠EBC = m∠ABH ⇒ vertically opposite angles
∵ m∠EBC = 34°
∴ m∠ABH = 34°
∵ B ∈ AC
∴ ∠EBC and ∠EBA formed a pair of linear angles
∵ The sum of the measures of the pair of linear angles is 180°
∴ m∠EBC + m∠EBA = 180°
→ Substitute m∠EBC by 34°
∴ 34 + m∠EBA = 180
→ Subtract 34 from both sides
∵ 34 - 34 + m∠EBA = 180 - 34
∴ m∠EBA = 146°
∵ ∠EBA and ∠CBH are vertically opposite angles
∴ m∠EBA = m∠CBH
∵ m∠EBA = 146°
∴ m∠CBH = 146°
What numbers rounded to 200,000 when rounded to the nearest hundred thousand
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Answer:
The answer would be 150,000 to 249,999
FIRST RIGHT GETS BRAINLIEST
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Answer:
Red is sus
Step-by-step explanation:
Answer: naah i think brown is sus he faked electrical vote him out
Step-by-step explanation:
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What do degrees measure?
A. the incline of an angle
B. the orientation of an angle
C. the type of angle
D. the length of an angle
Answers
Answer:
I woulda said B too...
Step-by-step explanation:
The daily high temperatures in a vacation resorts in approximately normal, with a mean temperature of 75 Fahrenheit and a standard deviation of 6 degrees. What percentage of days have a high temperature between 66 and 88?
A.17.01%
B.35.62%
C.64.37%
D.72.99%
Answers
-3y > 9 or y - 6 > 2
Answers
Answer:
Your answer is: y < -3 or y > 8
The union consists of all of the elements that are contained in each interval.
Step-by-step explanation:
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solve:4x+3y=20;4x+2y=10 by matrix method
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Answer:
i don't know sorry . and study well to make your future good
Solve for x in the figure below
5x+18
7x-14
Answers
Answer:
16 =x
Step-by-step explanation:
The angles are corresponding angles and since the lines are parallel, they are equal
5x+18 =7x-14
Subtract 5x from each side
5x+18 -5x=7x-5x-14
18 = 2x-14
Add 14 to each side
18+14 = 2x-14+14
32 = 2x
Divide by 2
32/2 = 2x/2
16 =x
Answer: x=16
Step-by-step explanation:
make it an equation: the equation 5x+18=7x-14
then, solve for x.
steps :
1. add 14 to both sides to get 5x+32=7x
2. subtract 5x to both sides to get 32=2x
3. divide both sides by 2 to get 16=x