A Real Estate Company Is Analyzing the Selling Prices of Residential

A real estate company is analyzing the selling prices of residential homes in a given community. 140 homes that have been sold in the past month are randomly selected and their selling prices are recorded. The statistician working on the project has stated that in order to perform various statistical tests, the data must be distributed according to normal distribution. In order to determine whether the selling prices of homes included in the random sample are normally distributed, the data is divided into 6 classes of equal size and the number of observations in each class is recorded. The chi-square goodness of fit test for normal distribution is performed and the results are summarized in the following table:
Goodness of Fit Test
$$\begin{array} { l l l l l } \text { Observed } & \text { expected } & \mathrm { O } - \mathrm { E } & ( \mathrm { O } - \mathrm { E } ) ^ { 2 } / \mathrm { E } & \% \text { of chisq } \\10 & 3.192 & 6.808 & 14.520 & 64.81 \\23 & 19.026 & 3.974 & 0.830 & 3.70 \\37 & 47.782 & -10.782 & 2.433 & 10.86 \\40 & 47.782 & -7.782 & 1.267 & 5.66\\27 & 19.026 & 7.974 & 3.342 & 14.92 \\3 & 3.192 & -0.192 & 0.012 & 0.05 \\140 & 140.000 & 0.000 & 22.404 & 100.00\\22.40 & \text { Chi-square } \\.0001 & \text { p-value }\end{array}$$
-What are the degrees of freedom for the chi-square test?

A) 2
B) 3
C) 4
D) 5
E) 6