Unfortunately the 2 test is mathematically unsuitable for us

Unfortunately, the 2 test is mathematically unsuitable for use with averages. What statistical test could we use to determine if our average TRC is really the same as Holt’s (1952) data? Explain why the Chi-Square Test cannot be used on this data set.

Solution

Unfortunately, the 2 test is mathematically unsuitable for use with averages. What statistical test could we use to determine if our average TRC is really the same as Holt’s (1952) data? Explain why the Chi-Square Test cannot be used on this data set.

This is based on how Holt’s data available.

Suppose if we are having average of Holts data, this is a one sample problem.

Here we are comparing our sample mean with pre specified mean ( Holts data mean or the population mean).

Here we have to use one sample t test ( when population standard deviation is not known).

Some times we use one sample z test ( when population standard deviation is known).

Chi-Square Test is a nonparametric test used for categorical data. Chi-square is a statistical test commonly used to compare observed data with data we would expect to obtain according to a specific hypothesis.