Form and interpret hypothesis tests for a population mean

An iid random sample has \(n=81\), observed mean \(\overline x=\frac{43}{18}\) and sample SD \(s=7\). Population σ is unknown. Assume the large-sample normal approximation is adequate

The prespecified hypotheses are H₀: μ=2 and H₁: μ≠2. Use the approximate z procedure