The sample mean is x ≈ 92.9. let x be a random variable representing glucose readings taken from gentle ben. we may assume that x has a normal distribution, and we know from past experience that σ = 12.5. the mean glucose level for horses should be μ = 85 mg/100 ml.† do these data indicate that gentle ben has an overall average glucose level higher than 85? use α = 0.05.

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.