Q21.  Consider a set of 18 samples  from standard normal  distribution. We square each sample and sum all squares. The no. of degrees  of freedom for Chi Square distribution will be?*17181920

Consider a set of 20 samples from a standard normal distribution. We square each sample and sum all the squares. The number of degrees of freedom for a Chi Square distribution will be?(1 Point)402010None of these

The mean square is the sum of squares divided byGroup of answer choicesNone of these alternatives is correctits corresponding degrees of freedom minus oneits corresponding degrees of freedomthe total number of observations

In sample distribution, the degree of freedom is calculated as

Suppose that χ2 follows a chi-square distribution with 28 degrees of freedom.Use the ALEKS calculator to answer the following.(a) Compute P≤χ216. Round your answer to at least three decimal places.=P≤χ216(b) Find k such that =P≥χ2k0.05. Round your answer to at least two decimal places.=k

If two populations are independent and each normally distributed and the population standard deviations are not equal, the test statisticT=X¯1−X¯2−(μ1−μ2)S21n1+S22n2‾‾‾‾‾‾‾‾√𝑇=𝑋¯1−𝑋¯2−(𝜇1−𝜇2)𝑆12𝑛1+𝑆22𝑛2 follows a:Question 4Select one:a.t-distribution with n1+n2−2 degrees of freedomt-distribution with 𝑛1+𝑛2−2 degrees of freedom b.standard normal distribution with n1+n2−2 degrees of freedomstandard normal distribution with 𝑛1+𝑛2−2 degrees of freedom c.t-distribution with degrees of freedom equal to (S21n1+S22n2)2(S21/n1)2n1−1+(S22/n2)2n2−1t-distribution with degrees of freedom equal to (𝑆12𝑛1+𝑆22𝑛2)2(𝑆12/𝑛1)2𝑛1−1+(𝑆22/𝑛2)2𝑛2−1 d.t-distribution with n−1 degrees of freedom