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.

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.