The population proportion is p = 0.45. For a random sample of n = 120, find P(p̂ > 0.51).

A population has μ = 200 and σ = 25. A random sample of n = 100 is selected. Find P(x̄ > 204).

A sample has x̄ = 72, population σ = 10, and n = 64. Find the 95% confidence interval for μ.

A population has μ = 75 and σ = 16. A random sample of n = 64 is selected. Find P(x̄ > 78).

For x̄ = 75, s = 8, n = 20, find the margin of error for a 95% confidence interval for μ (σ unknown).

The population proportion is p = 0.70. For a random sample of n = 150, find P(p̂ > 0.75).

A population has μ = 50, σ = 10. For n = 100, find P(49 < x̄ < 52).

The population proportion is p = 0.50. For a random sample of n = 100, find P(p̂ > 0.56).

In a random sample of n = 125, x = 75 subjects have the characteristic of interest. Find the 90% confidence interval for the population proportion p.

X is normally distributed with μ = 80 and σ = 10. Find the value corresponding to the 75th percentile.