please show steps and calculation NO TECHNOLOGY Data set A

please show steps and calculation (NO TECHNOLOGY)

Data set A : 22.24, 22.3, 22.27, 22.22, 22.43, 22.15,22.13, 22.5, 22.89, 22.66, 23.37

Data set B: 23.35, 23.3, 23.49, 23.49, 23.45, 23.32, 23.03, 22.76, 22.76

Calculated the mean and standard deviation of data set A AND assume that they are population parameters ( and ) known for the variable fish length in a population of rainbow trouts in the Coldwater River. Imagine that data set B is a sample obtained from a different population in Red River.

Conduct a hypothesis test to see if the mean fish length in the Red River population is different from the population in Coldwater River.

Conduct a hypothesis test to see if the variance in fish length is different in the Red River population compared to the variance in the Coldwater population.

IMPORTANT NOTE: Make sure you do the following:

-State H₀ and H_a using notation for each hypothesis test conducted.

-Use = 0.05 for all hypothesis tests conducted.

-Explain all results obtained for both hypothesis tests and confidence intervals.

-You can use Excel to calculate means and standard deviations but all other calculation have to be done by hand.

Solution