Question

The following data represent soil water content for independent random samples of soil taken from two experimental fields growing bell peppers Soil wa

Sampling distributions
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asked 2021-05-01

The following data represent soil water content for independent random samples of soil taken from two experimental fields growing bell peppers Soil water content from field I: \(x_1;n_1\)=72 15.111.210.310.816.68.39.112.39.114.3 10.716.110.215.28.99.59.611.31411.3 15.611.213.89.08.48.21213.911.616 9.611.48.48.014.110.913.213.814.610.2 11.513.114.712.510.211.811.012.710.310.8 11.012.610.89.611.510.611.710.19.79.7 11.29.810.311.99.711.310.4121110.7 8.811.1 Soil water content from field II: \(x_2;n_2\)= 80 12.110.213.68.113.57.811.87.78.19.2 14.18.913.97.512.67.314.912.27.68.9 13.98.413.47.112.47.69.9267.37.4 14.38.413.27.311.37.59.712.36.97.6 13.87.513.38.011.36.87.411.711.87.7 12.67.713.213.910.412.87.610.710.710.9 12.511.310.713.28.912.97.79.79.711.4 11.913.49.213.48.811.97.18.51414.2
Which distribution (standard normal or Student's t) did you use? Why? Do you need information about the soil water content distributions?

Expert Answers (1)

2021-05-02
Student's t distribution, because the population standard deviations 0, and 72 are unknown and we which to estimate the difference between means.
Note: if the population standard deviations o1 and oz, then we use the standard normal distribution.
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