There is a direct relationship between the chi-square and the standard normal distributions, whereby the square root of each chi-square statistic is mathematically equal to the corresponding z statistic at significance level alpha. 1.True 2.False

BenoguigoliB

BenoguigoliB

Answered question

2021-01-28

There is a direct relationship between the chi-square and the standard normal distributions, whereby the square root of each chi-square statistic is mathematically equal to the corresponding z statistic at significance level α.
1.True
2.False

Answer & Explanation

falhiblesw

falhiblesw

Skilled2021-01-29Added 97 answers

Step 1
Given statement:
There is a direct relationship between the chi-square and the standard nomnal distributions, whereby the square root of each chi-square statistic is mathematically equal to the corresponding z statistic at significance level α.
Step 2
The chi square distribution with k degrees of freedom is the distribution of a sum of squares of k independent standard normal random variables. The simplest chi square distribution is the square of a standard normal distribution.
Thus, the given statement is true.

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