Andy has a collection of movie dvds. in andys collection 3/5 of the dvds are action 1/4 of the dvds are comedy. andy said that 4
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The value of mean, standard deviation and interval from the method of tree ring dating is 1273 AD, 37 years, [1250,1296].
According to the statement
we have to find that the standard deviation, mean and the intervals from the given data.
So, According to the given data from the method of tree ring dating
The value of mean is
x-bar = (1271 + 1208 + 1229 + 1299 + 1268 + 1316 + 1275 + 1317 + 1275) / 9 = x-bar = 1273 AD
And now we find standard deviation :
s = √∑(xi - x-bar) / (N - 1)
∑(xi - x-bar)^2 = (1271 - 1273)2 + (1208 - 1273)2 + (1229 - 1273)2 + ... + (1275 - 1273)2
∑(xi - x-bar)^2 = (-2)2 + (-65)2 + (-44)2 + ... + (2)2
∑(xi - x-bar)^2 = 4 + 4225 + 1936 + 676 + 25 + 1849 + 4 1936 + 4
∑(xi - x-bar)^2 = 10,659
Now,
s^2 = 10659/8 = 1332
s = 37 years
So, standard deviation is 37 years.
We need the t-distribution table since the standard deviation is unknown. Therefore, our degrees of freedom is 9 - 1 = 8 and the critical value is 1.860. Set up the confidence interval for the mean:
[x-bar ± t*(s/√n)] = [1273 ± 1.860*(37/√9)]
[x-bar ± t*(s/√n)] = [1250,1296]
So, The value of mean, standard deviation and interval from the method of tree ring dating is 1273 AD, 37 years, [1250,1296].
Learn more about method of tree ring dating here
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Question:
The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
For more data please see the image below.
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QUESTION A
The given inequality is
Add 1 to both sides of the inequality to obtain;
Answer: 2. , open dot at 6 and shaded to the right.(A)
QUESTION B.
The given inequality is .
Divide both sides by 2;
.
.
Answer: 5. , closed dot at 3 and shaded to the left(B).
QUESTION C
The given inequality is
Add 7 to both sides to get;
Answer: 7. , open dot at 3 and shaded to the right.(C)
QUESTION D
We want to solve;
Divide through by -2 and reverse the inequality sign;
Answer; 3. Open dot at -3 and shaded to the right. (D)
QUESTION E
We have
Divide through by -4 and reverse the sign.
or
Answer: 6. open dot at -1, and shaded to the left(E)
QUESTION F
The given inequality is
Add -3 to both sides to get;
Divide both sides of the inequality by -2 and reverse the sign;
Answer:9. , open dot at 5 and shaded to the right(F)
QUESTION G
The given inequality is
Divide by 5
Answer ; 10. , closed dot at 2 and shaded to the right(G)
QUESTION H
We have
Expand the bracket to get;
Group similar terms to get;
Simplify
Divide through by -5 and reverse the sign;
Answer: 1. Open dot at 18/5 and shaded to the left(H)
QUESTION I
We have .
Divide by -2 and reverse the sign;
Answer: 8. , open dot at 1 and shaded to the right(I)
J. The given inequality
Expand the bracket to get;
Group like terms to get;
Divide by -1 and reverse the sign to get;
Answer; 4. , open dot at 5 and shaded to the left.(J)