Suppose you have a normally distributed population such that o? = 7. Using the sampling distribution of s², we find that from a random sample of size n = 11, S² = 16.053. Does our population variance seem reasonable? Note: We will consider our population variance reasonable if our X value falls within the interval x0.975 (df), x²0.025(df)]- 1) Find the values of the interval [x'o.975(df), x²0.025(df)]- X'0.975(df) = (Round to 3 decimals.) X'0.025(df) = (Round to 3 decimals.) 2) Find the value of x that comes from the data you collected in the problem statement. (Round to 3 decimals.) 3) Is the population variance reasonable? O Yes O No

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose you have a normally distributed population such that o? = 7. Using the sampling distribution of
S?, we find that from a random sample of size n = 11, s² = 16.053. Does our population variance seem
||
reasonable?
Note: We will consider our population variance reasonable if our x value falls within the interval x0.975
(df), x'o.025 (df)].
1) Find the values of the interval [xo.975(df), x²o.025(df)].
x°0.975(df) =
(Round to 3 decimals.)
x'0.025(df) -
(Round to 3 decimals.)
2) Find the value of x that comes from the data you collected in the problem statement.
(Round to 3 decimals.)
3) Is the population variance reasonable?
Yes
O No
Transcribed Image Text:Suppose you have a normally distributed population such that o? = 7. Using the sampling distribution of S?, we find that from a random sample of size n = 11, s² = 16.053. Does our population variance seem || reasonable? Note: We will consider our population variance reasonable if our x value falls within the interval x0.975 (df), x'o.025 (df)]. 1) Find the values of the interval [xo.975(df), x²o.025(df)]. x°0.975(df) = (Round to 3 decimals.) x'0.025(df) - (Round to 3 decimals.) 2) Find the value of x that comes from the data you collected in the problem statement. (Round to 3 decimals.) 3) Is the population variance reasonable? Yes O No
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