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Yoosungdid911
28.03.2020 •
Mathematics
The following sample of lengths was taken from 9 rods off the assembly line. Construct the 99% confidence interval for the population standard deviation for all rods that come off the assembly line. Round your answers to two decimal places.
13.6,13.8,14.1,13.6,13.3,13.5,13.9,13.3,14.1
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Ответ:
99% confidence interval for the population standard deviation = (0.17 , 0.75).
Step-by-step explanation:
We are given that the following sample of lengths was taken from 9 rods off the assembly line;
13.6, 13.8, 14.1, 13.6, 13.3, 13.5, 13.9, 13.3, 14.1
So, firstly the pivotal quantity for 99% confidence interval for the population standard deviation is given by;
P.Q. =
~ ![\chi^{2} __n_-_1](/tpl/images/0568/6686/03dd3.png)
where, s = sample standard deviation
n = sample of rods = 9
Also,
, where X = individual data value
So, 99% confidence interval for population standard deviation, is;
P(1.344 <
< 21.95) = 0.99 {As the table of
at 8 degree of freedom
gives critical values of 1.344 & 21.95}
P(1.344 <
< 21.95) = 0.99
P(
<
<
) = 0.99
P(
<
<
) = 0.99
99% confidence interval for
= (
,
)
= (
,
)
= (0.03 , 0.56)
99% confidence interval for
= (
,
)
= (0.17 , 0.75)
Therefore, 99% confidence interval for the population standard deviation for all rods that come off the assembly line is (0.17 , 0.75).
Ответ:
1470
Step-by-step explanation:
4 + 3 = 7 + 7 = 14
105 × 14 = 1470
He ran 4 miles east and then 3 miles north. Since he burned calories using the diagonal line, he will burn calories from there as well. So, that's an extra 7 miles. To clarify, he burned a total of 1,470 calories on his run.