Q1) Results from survey of 1000 respondents, point out that 545 favour the dealth penalty for capital crimes. By using a 90% confidence level. Create confidence interval estimate for population proportion.

Q2) Find out minimum sample size for margin of error of 6 days and population standard deviation of 18 days using confidence level of 95% to evaluate an unknown population mean for number of days missed from work per year.

Let X₁, X₂, ... , X₅₀ denote actual net weights of 50 randomly selected 80-lb bags of concrete mix.

a) If expected weight of each bag is 80-lb and standard deviation is 2-lb, compute P(79.75 £ X bar £ 80.25).

b) If expected weight of each bag is 79.5-lb rather than 80-lb, so that on average bags are under-filled, but standard deviation is still 2-lb, compute P(79.75 £ X bar £ 80.25).