Define a null hypothesis about the standard deviation of the population and a one-sided (lower or upper) alternative hypothesis. Here, make an educated guess for the value of the hypothesized standard deviation σ0. Test whether your null hypothesis against the alternative hypothesis. Use α = 0.01. Find the corresponding P-value (or the bounds for P-value) and derive conclusions about your hypothesis based on both P-value approach and critical region comparisons. Also explain whether your sample size is enough to ensure a power of test of 0.80. Mean=28.975
Variance(sample)= 20.076
Standard deviation(sample)=4.481