Question

In: Statistics and Probability

According to an avid aquarist, the average number of fish in a 20-gallon tank is 10,...

According to an avid aquarist, the average number of fish in a 20-gallon tank is 10, with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in 15 other 20-gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data: 11; 10; 9; 10; 10; 11; 11; 10; 12; 9; 7; 9; 11; 10; 11

a. what is the degree of freedom?

b. what is the test statistic?

c. what is the p-value?

d. accept or reject

Solutions

Expert Solution

we have given that According to an avid aquarist, the average number of fish in a 20-gallon tank is 10, with a standard deviation of two.

We want to test that for 15 sample size of 20-gallon fish tank standard deviation is different from 2.

Let X:- number of fish in 20-gallon tanks


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