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uppose 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? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?
Answers
Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0
Which of these equations are true when the value of y is 27?
I. −9 + y = 18
II. −18 + y = −45
III. 5y = 135
IV. 2y = 29
Answers
Answer:
I. -9 + y = 18
Step-by-step explanation:
Double-check to see if I was correct
The equations I. and III. satisfies the condition when y = 27
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The value of y = 27
So , substituting the value of y in all of the given equations , we get
I.
-9 + y = 18
when y = 27
Substituting the value of y , we get
-9 + 27 = 18
18 = 18
So , I. satisfies the condition and the equation is TRUE
II.
-18 + y = 45
when y = 27
Substituting the value of y , we get
-18 + 27 = 45
9 ≠ 45
So , II. does not satisfy the condition and the equation is FALSE
III.
5y = 135
when y = 27
Substituting the value of y , we get
5 x 27 = 135
135 = 135
So , III. satisfies the condition and the equation is TRUE
IV.
2y = 49
when y = 27
Substituting the value of y , we get
2 x 27 = 29
54 ≠ 29
So , IV. does not satisfy the condition and the equation is FALSE
Hence , the equations I. and III. are TRUE
To learn more about equations click :
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5r+r= what dose this equal
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Answer:
Step-by-step explanation:
5
Randy has 53 inches of ribbon that he cuts into 6 pieces of equal length. What is the equal length of each piece of ribbon in inches
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Answer:
9
Step-by-step explanation:
The reason being 9 is because the keyword was equally so if you need to add an additional inch, it will make it equal.
at the local flea market, nike and reebok sneakers were being sold. all bike sneakers sold for $75.00 and reebok’s were being sold for $65.00. if 180 people bought sneakers for a total of $12,550, how many of each pair were sold?
Answers
Answer:
69.72
Step-by-step explanation:
Thats the answer if its not plz tell me
To ride a horse at the state fair costs $2 per minute. Paolo buys a 16-minute ride. Next time, he plans to ride 25% longer. How much will he pay?
Answers
Answer: $2.50
Step-by-step explanation: 2/16 to find what it cost for one minute. 16*1.25 because he is riding 25% more. (16*1.25) *.125
.125 if the amount for 1 minute
help please! look at question
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Which is equivalent to square root 8 to the third power
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Answer:
Step-by-step explanation:
IMPORTANT: ∛8ˣ is not the square root of 8³. ∛ means cube root.
∛x = x^(⅓)
What is the correct answer?
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what is 9+2 I WILL MARK BRAINIEST
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Answer:
11 ! have a great dayy:) !
Can someone HELP ME please!!?
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for which set of problilities would events a and b be independent
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Answer:
Events A and B are independent if and only if P(A and B) = P(A)P(B). If you know these probabilities, you can check to see if this holds.
Step-by-step explanation:
:)
NEED HELP ASAP PLEASE HELP
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Answer:
the second one or b. :)
Step-by-step explanation:
Given the graph below, find GH.
Please answer only if you know it’s for a test
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Answer:
GH=[tex]\sqrt{(-2-0)^{2}+(-3-3)^{2} }[/tex]
=[tex]\sqrt{40}[/tex]
Step-by-step explanation:
Answer:
root 40 or 2 root 10
Step-by-step explanation:
You have to use the formula...
a^2 + b^2 = c^2
So...
2^2 + 6^2 = c^2
4 + 36 = 40
Which means...
Answer is root 40 or simplified... 2 root 10
Hope this helps :)
Let me know if there are any mistakes!!
Combine like terms in the expression below.
5c + 6 + 8c - 2
Plz help
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13c+6-2
Explanation:
You combine the amount of cs with each other.
5) Graph the following inequality. (3 points) 6x-2y>8
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Answer:
Step-by-step explanation:
Evaluate the following expression if x=4 28x - 9 (2x+ 6)
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Answer:
-14
Step-by-step explanation:
substitute 4 for x
28(4) - 9 (2(4)+ 6)
multiply
112-9(8+6)
add numbers
112-9(14)
multiply
112-126
subtract
-14
Decrease £14120 by 4% Give your answer rounded to 2 DP.
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Answer:
(14120/100)*96 = £13,555.20
Step-by-step explanation:
Answer:
£13,555.20
Step-by-step explanation:
14120*4=56480
56480+14120=70,600
then 70,600+20
on a cauculaiter it will give you 70,620 but it is 70,600.20
then 14,1000.50-1,555.30=13,55.20
hope it is helpfull
CAN ANYONE HELP WITH #4????
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Answer:
Just found that it is 3. Btw, try m a t h w a y. com
Step-by-step explanation:
Hope that helps!
The probability of the chance of a tornado would be considered:
A) Empirical Probability
B) Theoretical Probability
C) Subjective Probability
D) Conditional probability
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Answer:
B)
Step-by-step explanation:
I’m pretty sure but sorry if I’m wrong
help me like right now plzzzzzzzzzzz
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Answer:The answer is 8
Step-by-step explanation:
Dora and boots are decorating cupcakes for a bake sale. Dora already has 25 cupcakes decorated and can decorate 10 cupcakes per hour. Boots has no cupcakes decorated yet but can decorate 15 cupcakes per hour. When will Dora and boots have the same number of cupcakes decorated and how many will they have
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Answer: after 5 hours, 75 cupcakes
Step-by-step explanation:
2 × (8 + 16 ÷ 8) − 3
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2*(8+16/8)-3
= 2*(8+2)-3
2*10-3
20-3
17
2 x (8 + 2) - 3
Simplify 8 + 2 to 10:
2 x 10 - 3
Simplify 2 x 10 to 20:
20 - 3
Simplify:
17
6. Seven-tenth of a number is 28. What is the number? *
Answers
Answer:
40
Step-by-step explanation:
28 divided by 7= 4 (to get the number of 1/10)
4 x 10= 40
Answer:
40
Step-by-step explanation:
7/10x = 28
28/0.7 = x
40 = x
Which of the following graphs represents the solution to the following system
of inequalities?
3x + 4y <12
2x - y24
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Answer:
I am pretty sure it is most likely answer D.
Step-by-step explanation:
Hope this helps! Have a great day and good luck!
Which graph represents the cost of hamburgers at Bulky's Store? Explain
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Answer:
Graph B
Step-by-step explanation:
It seems more realistic i dont think 10 hamburgers would be 3 dollars
Find all zeros of the equation 0 = x ^ 2 - x - 12
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Answer:
x=4,-3
Step-by-step explanation:
Find the roots of 0 = x ^2 − x − 12 by solving for x .
Answer:
3 zeros
Step-by-step explanation:
4) The length of a rectangle is 7 inches more than the width. The perimeter of the rectangle
is 178 inches. Find the width of the rectangle.
Answers
Answer:
41 inches
please mark brainliest
Step-by-step explanation:
l= 7+w
perimeter = 2(l+w) =2(7+w +w)= 2(7+2w)= 14+ 4w
178= 14+4w
4w =178-14= 164
w= 164/4 = 41 inches
Your answer
1 point
Practice Question #7: There are 24 students in Ms. Watters Social Studies
class. 5/8 of these students earned an A on the geography unit
assessment. How many students earned an A? (enter only the number) *
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Step by step explanation: 5 Divided by 8 then you multiply by 24. The method I just explained is known as cross multiplication!
Which strategy uses place value to correctly solve for 321 x 4?
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Answer:
300x4 =1200
20x4 = 80
1x4 =8
1288
Step-by-step explanation:
Break apart 321 = 300+20+ 1
This is the hundreds, tens, and ones
Then multiply each by 4
Add all together to get answer