THE MEAN CALCULATED IN DATA SET A IS 28669 AND THE STANDARD

THE MEAN CALCULATED IN DATA SET A IS 28.669 AND THE STANDARD DEVIATION IS: 0.3442

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.

Take the mean and standard deviation of data set A calculated in problem 1 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.

I NEED THE FORMULA AND WORK SHOWN FOR EVERYTHING AS WELL AS THE ANSWER PLEASE AND THANK YOU!

Solution

Ho . miu = 28.669

H1 : miu is not equal 28.669

for alpha = 0.05

critical value : 1.96

Z= (28.669-28.669) / 0.3442 = 0

Z = 0.5

decision

fail to reject Ho because Z < critical value