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Novay_Z [31]
2 years ago
6

3. Nutrition labels. The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 13

0 calories and contains ten grams of fat, with three grams of saturated fat. A random sample of 35 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. a. Calculate the 95% confidence interval of for this random sample. Then interpret this interval.
Mathematics
1 answer:
svetoff [14.1K]2 years ago
3 0

Answer:

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 34

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0322

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0322\frac{17}{\sqrt{35}} = 5.84

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 134 - 5.84 = 128.16 calories

The upper end of the interval is the sample mean added to M. So it is 134 + 5.84 = 139.84 calories

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

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100 points and brainliest
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Answer:

Step-by-step explanation:

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2: A = lw

3: A = lw

7 0
3 years ago
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A tattoo enthusiast website claims that :
KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

\\ P(A|B) = \frac{P(A \cap B)}{P(B)}

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

\\ P(T|M) = 0.47

The probability that a person has a tattoo assuming that is of Generation X is:

\\ P(T|X) = 0.36

The probability that a person has a tattoo assuming that is of Boomers is:

\\ P(T|B) = 0.13

The probability of being of Millennials is:

\\ P(M) = 0.22

The probability of being of Generation X is:

\\ P(X) = 0.20

The probability of being of Boomers is:

\\ P(B) = 0.22

Therefore, the probability of the event of having a tattoo P(T) is:

\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)

\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22

\\ P(T) = 0.204

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

\\ P(M \cap T) = P(M|T)*P(T)

Or

\\ P(T \cap M) = P(T|M)*P(M)

But

\\ P(M \cap T) = P(T \cap M)

Then

\\ P(M|T)*P(T) = P(T|M)*P(M)

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

\\ P(M|T)*P(T) = P(T|M)*P(M)

\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}

We have already know that

\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204.

Therefore

\\ P(M|T) = \frac{0.47*0.22}{0.204}

\\ P(M|T) = 0.50686 \approx 0.51

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0
3 years ago
Which of the following are factors of 11? <br> A/1<br> B/11<br> C/4<br> D/5<br> E/0<br> F/22
7nadin3 [17]

Answer:

B and A

Step-by-step explanation:

8 0
2 years ago
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Can someone please help me ASAP!¡
Nataliya [291]
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2) No. 45/5 does not equal 18/2
3) No. For something to be proportional, it should at least have the smaller number in the same place.
4) No. 25/12 does not equal 53/40
5) Yes. 4/2 is equal to 14/7
6) Yes. 4/1 is equla to 12/3
7) No. For something to be proportional, it should at least have the smaller number in the same place.
8) No. 44/9 is not equal to 36/11
9) Yes. 10/5 is equal to 16/8
10) Yes. 24/12 is equal to 14/7
11) No. 24/4 is not equal to 42/9
12) Yes. Both equal 1.
13) Yes. 20/5 is equal to 44/11
14) No. 44/40 is not equal to 34/30
15) Yes . 40/4 is equal to 10/1
16) Yes. 36/4 is equal to 45/5
17) No. 16/2 is not equal to 13/1
18) No. 38/9 is not equal to 28/7
19) Yes. This is a common proportion.
20) Yes. 50/25 is equal to 2.
21) Yes. 36/24 is equal to 3/2.
22) Yes. 18/12 is equal to 42/28
23) No. 33/42 is not equal to 27/37
24) No. 34/7 is not 4
25) Yes. The second proportion listed is half of the first
26) Yes. This is proportional.
27) Yes. This is proportional.
28) Yes. This is proportional.
29) No. This is not proportional.
30) No. This is not proportional
31) Yes. This is proportional.
32) Yes. This is proportional
33)
34)
35)
36)
37)
38)
39)
40)
I hope this helped. I left the last few unsolved so you could follow the patterns to find them out!

3 0
3 years ago
What is 5 to the power of 6 over 5 to the power of 2
AlekseyPX

Answer:

625

Step-by-step explanation: 5^6/5^2

multiply 5^6 and than devide your answer with 5^2

6 0
2 years ago
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