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Chapter 11: Q.3 (page 652)

When does the chi-square curve approximate a normal distribution?

Short Answer

Expert verified

If df>90because chi square is approximated as a normal curve, this suggests that the distribution is normal.

X~N1000,44.72

Step by step solution

01

Given Information

We have to determine when does the chi-square curve approximate a normal distribution.

02

Explanation

Formulas using here is as follows

渭x2=df

蟽x2=2脳df

If df>90because chi square is approximated as a normal curve, this suggests that the distribution is normal.

for X~X21000the population mean will be

渭=dfdf=1000渭=1000

standard deviation will be

蟽=2脳df=2脳1000鈮�44.72

Therefore we have

X~N1000,44.72approx

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