The outside temperature at 6:00 was 75º F. The temperature dropped 0.8ºF for the next 4 hours.What was the outside temperature a
1 answer:
You might be interested in
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
Disclaimer: This question was incomplete. Please find the full content below.
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.
#SPJ4
Answer:
- 7-5 => 2
- -7+5 => -2
- -7-5 => -12
- 7-(-5) => 12
Step-by-step explanation:
Lets solve the expressions one by one
<u>1. 7-5</u>
we can see that it is simple subtraction. A smaller number is being subtracted from a large number.
So the answer is 2
<u>2. -7+5</u>
There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.
In this case, 7 is larger and has negative sign, the answer will be -2
<u>3. -7-5</u>
When there are two numbers with minus sign they are added but the answer has the minus sign with it.
So the answer will be: -12
<u>4. 7-(-5)</u>
When minus is multiplied with minus it converts to positive
So
Hence,
- 7-5 => 2
- -7+5 => -2
- -7-5 => -12
- 7-(-5) => 12