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If df>90, the distribution is _____________. Ifdf=15, the distribution is _______________

Short Answer

Expert verified

Because the chi-square curve is approximated as a normal curve if df>90, the distribution is Normal.

X~N(1000,44.72)

Because the chi-square curve bends towards the right side of the curve when df=15, the distribution is right skewed.

Step by step solution

01

Given information

Given in the question that, We need to find the distribution if df>90and , the df=15.

02

Explanation

Because the chi-square curve is approximated as a normal curve if df>90, the distribution is Normal.

The population mean for X~χ10002 is determined as follows:

μ=df

=1000

μ=1000

Also known as standard deviation, it is determined as follows:

σ=2×df

=2×1000=2000=44.72144.72

σ=44.72

Consequently, we have

X~N(1000,44.72)approx.

Because the chi-square curve bends towards the right side of the curve when df=15, the distribution is right skewed.

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