Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measure. The sample has a mean of 19.4 mg and a standard deviation of 3.52 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters? What are the hypotheses? Identify the test statistic. Identify the P-value Identify the critical value(s). State the final conclusion that addresses the original claim. A. Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. B. Reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. C. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. D. Reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. What do the results suggest, if anything, about the effectiveness of the filters? A. The results are inconclusive because the sample size is less than 30. B. The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes. C. The results do not suggest that the filters are effective. D. The results suggest that the filters are effective. E. The results suggest that the filters increase the tar content.
Answers
Answer:
1) Option A: Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
2)Option D: The results suggest that the filters are effective
Step-by-step explanation:
We are given;
Sample size; n = 25
Sample mean; x' = 19.4 mg
Standard deviation; s = 3.52 mg
Population mean; μ = 21.1 mg
Let's state the hypotheses;
Null Hypothesis;H0: μ = 21.1 mg
Alternative Hypothesis; Ha; μ < 21.1 mg
Now, since sample size is less than 30,we will use a t-test.
Thus;
t = (x' – μ)/[s/√(n)]
t = (19.4 - 21.1)/(3.52/√25)
t = -2.415
Using an online p-value from t-score calculator as attached with the parameters t = -2.415, DF = 25 - 1 = 24, significance level = 0.05, one tailed, we have;
The p-value is 0.011885.
The calculated p-value is less than the significance level of 0.05. Thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
Related Questions
7n-(4n-3) simply to create a equivalent expression?
Answers
Answer:
3n + 3
Step-by-step explanation:
Step 1:
7n - 4n + 3
Answer:
3n + 3
Hope This Helps :)
The equivalent expression is 3n + 3.
To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:
7n - (4n - 3) = 7n - 4n + 3
Simplifying further, combine like terms:
7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3
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joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company.
Answers
Answer:S = 70,000 + 5000n
The equation that can be used to represent Josephs salary after working n years for the company is S = 70,000 + 5000n
How to write equation?Annual increase in salary = $5000Starting salary = $70,000S = Josephs salary after working n yearsn = number of yearsThe equation:
S = 70,000 + 5000(n)
S = 70,000 + 5000n
If n = 2
S = 70,000 + 5000n
= 70,000 + 5000(2)
= 70,000 + 10,000
= $80,000
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PLZZZ HELP WILL GIVE BRAINLIST
Answers
Answer:
2. C-40 3. A-1/85
Step-by-step explanation:
hope it helps
it would rlly help so much Please I will give brainmast
Answers
Answer: The top right
Step-by-step explanation: The top left is a line segment so incorrect,
the bottom left is a ray so also incorrect, and finally, the bottom right is just a dot so that is also incorrect.
Hope this helped!
Mark Brainliest if you want!
Answer:
Top photo on right (the one with two arrows on the sides)
Step-by-step explanation:
Top left photo is a segmentBottom left photo is a rayBottom right photo is a dotSo, the only one left is the top right photoI hope this helps!
In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 in the tens place?
Answers
Answer:
its 10 times
Step-by-step explanation:
its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place
Find JH
G. H. I. J
2. 12.
Answers
Answer:
JH = 17
Step-by-step explanation:
GH = 2
IJ = 12
GI = 7
find: JH
HI = 7 - 2
HI = 5
JH = 12 + 5
JH = 17
find the first three terms of the sequence with nth term 2n+4
Answers
Answer:
To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.
2(1)+4=2+4=6
2(2)+4=4+4=8
2(3)+4=6+4=10
As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so
2(9)+4=18+4=22
Hope this helped!
-√121 + 5 please help fast
Answers
Answer:
-6
Step-by-step explanation:
Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
(a) y = 3sinx
(b) y = 3xsinx - 5xcosx
(c) y = -3 / 2xcosx
(d) y = 3cosx
(e) y = 3 / 2xsinx
Answers
Answer:
C
Step-by-step explanation:
We must compute the derivatives and check if the equation is satisfied.
A. . Differentiate again to get , then so this choice of y doesn't solve the equation.
B. and , then so y is not a solution
C. hence . Then so y is a solution.
D. and , then thus y isn't a solution
E. hence . Then then y is not a solution.
Help please, this is definitely not my area of expertise.
Answers
Answer:
she will make 1,815
equation:55x+1
Answer:
Equation: 55 + B = A
Ammount amy earns if she sells 33 books: 88 dollars
Step-by-step explanation:
they let us know that she earns 55 dollars a week. this is the minimum she can earn in a week. So 55 is just 55. she cant earn more or less than 55 a week by just working there. the variable is the ammount of books she sells every week. Every book she sells gives her an extra one dollar to her overall wage per week. so 55 is the base and the one dollar per book is the variable that changes depending on how much she sold. So the equation would the base of 55 and the variable 1x (x being the ammount of books being sold and the 1 being how much money she makes from each book) and now just put them together with a plus sign and it would look like this
55 + 1x = ...
If she was to sell 33 books and shes earning 1 dollar per book 1(33), we only change the x from x to 33
55 + 1(33) which gives us 88
HOPE THIS HELPED. DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR FOR ANYONE IN THE FUTURE STRUGGLING TO DO THIS SAME PROBLEM. HAVE A NICE DAY!!!
The temperature outside in -5°C on Monday. Overnight it drops by 3°C. Between 9 am and noon the next day it rises 2°C. What is the temperature on Tuesday at noon?
Answers
Answer:
-6
Step-by-step explanation:
-5-3=-8
-8+2=-6
you subtract 3 from the Total temperature then and 2 to the answer
Find the product. (-10) • (-10) • (-10)
Answers
Answer:
-1000
Step-by-step explanation:
-10 times -10 makes 100 as negative cancel each other
100 times -10 make -1000
Answer:
-1000
Step-by-step explanation:
-(10x10x10)
-10^3
-1000
4/3y = 16 solve for y
Answers
Answer:
y=12
Step-by-step explanation:
First we should rewrite the left side to look like
4y/3=16
Then multiply 3 to both sides
4y=48
Now divide by 4
y=12
The equivalent value of the expression is y = 12
Given data ,
Let the equation be represented as A
Now , the value of A is
( 4/3 )y = 16
On simplifying the equation , we get
( 4/3 )y = 16
So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )
Divide by 4 on both sides , we get
( 1/3 )y = 16/4
( 1/3 )y = 4
Multiply by 3 on both sides , we get
y = 4 x 3
On simplifying , we get
y = 12
Therefore , the value of y = 12
Hence , the expression is y = 12
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answer ASAP. Subject is math
Answers
Answer: option C is wrong
7. George went to the general store to buy provisions. He bought food items
worth $35. He had a $25 gift card for the store and he also paid $5 in cash.
How much debt does George have with the store?
I need it in ten minutes plz help
Answers
Answer:
He needs to pay $5
Step-by-step explanation:
$25 + $5 = $30 < how much he paid
$35 - $30 = $5 < how much more he needs to pay
Answer:
21
Step-by-step explanation:
21 yeet
brainlest plz is 21 if you dont brainlest you are gay
Tom has cases of soda. If there are 12 cans in a case, how many cans does tom have?
Answers
Answer:54
4 1/2times 12
Convert 4 1/2 to an improper fraction.
9/2 times 12
Cancel the common factor of 2
9 times 6
Multiply
9 by 6 the you'll get 54
The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answers
Answer: (-2,-7)
Step-by-step explanation:
The coordinates of B is (-2, -7).
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]
Given:
Let the coordinates of B be (x, y).
We have to find the coordinates of B.
According to given question we have,
Then, (x + 2) / 2 = x-coordinate of M = 0.
So, x = -2.
(y + 1) / 2 = y-coordinate of M = -3.
So, y = -7.
Therefore, the coordinates of B is (-2, -7).
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1. Solve the shape equation puzzle:
= 8
=
= 15
Answers
square =3
or the other way around
-100x5 + 90?????????????????????????
Answers
Answer:
-410
Step-by-step explanation:
:)
Answer:-410
Step-by-step explanation:
bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative
Answers
Answer:
The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..
Step-by-step explanation:
Negative
I hope this helps :)
Forty seven hundredths in standard form
Answers
Answer is .47
Fourty seven hundredths in standard form is .47,
Which of these relations are functions?
Answers
If AB=CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
Answers
Answer:
None of them are correct
Step-by-step explanation:
Which statement best explains whether these ordered pairs represent a function? (-4, 2) (6, 7) (-8, 3) (9, 10) (12, 14) (6, 9)
Answers
Answer:
These ordered pairs does NOT represent a function.
Step-by-step explanation:
One of the x-values repeast (6), which is not a characteristic of a function. Because so, it also does not pass the vertical line test because it would pass through the points twice.
find the value power of 5-^2
Answers
Answer:
-25
Step-by-step explanation:
Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards
Answers
Answer:
11
Step-by-step explanation:
you just divide it
Answer:
11
Step-by-step explanation:
I thought collage students could do simple division...
Lol
HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a
Answers
Answer:
a can be anything. There are infinite solutions.
Step-by-step explanation:
[tex]4(a+2)=8+4a[/tex]
Expand:
[tex]4a+4\times\:2=8+4a[/tex]
[tex]4a+8=8+4a[/tex]
Subtract 8 from both sides:
[tex]4a+8-8=8+4a-8[/tex]
[tex]4a=4a[/tex]
Subtract 4a from both sides:
[tex]4a-4a=4a-4a[/tex]
[tex]0=0[/tex]
Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.
3.5 with a line on top of five =
Answers
Answer:
7/2
Step-by-step explanation:
A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If Lawrence rents a vehicle for four days and has $200, what is the maximum number of miles he can drive?
Answers
Answer:
8 miles
Step-by-step explanation:
Write each product as a power. 10⋅10⋅10⋅10⋅10⋅10⋅10= pls help im dumb lol
Answers
Hey there!
ANSWER: [tex]10^7[/tex]EXPLANATION:[tex]10*10*10*10*10*10*10 \text{ as a power}[/tex]
To write as power, you will see how many times you multiply the number 10.
[tex]10(1)*10(2)*10(3)*10(4)*10(5)*10(6)*10(7)\\\text {It was multiplied 7 times}[/tex]
Since it was multiplied 7 times, you would write it like this.
[tex]10^7(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]