The null and alternate hypothesis is H₀: μ ≤ 40 and H₁: μ > 40
The test of hypothesis is right-tailed hypothesis test.
Stating the Hypothesis
Given that you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. the null and alternate hypothesis is
Null hypothesis (H₀): The mean weight of blue catfish in the John H. Kerr Reservoir is less than or equal to 40 pounds.
Alternative hypothesis (H₁): The mean weight of blue catfish in the John H. Kerr Reservoir is greater than 40 pounds.
Type of hypothesis test
Since we are interested in testing whether the mean weight is greater than 40 pounds, we should conduct a right-tailed hypothesis test.
So, the test of hypothesis is right-tailed hypothesis test.