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.

For a population with μ = 50, σ = 10, and samples of size n = 25, identify the mean and standard deviation of the sampling distribution of x̄.

A random sample has x̄ = 50, s = 8, and n = 25. The population standard deviation is unknown. Find the 95% confidence interval for μ.

For x̄ = 60, s = 10, n = 25, find the margin of error for a 95% confidence interval for μ (σ unknown).

A population has μ = 60 and σ = 15. A random sample of n = 25 is selected. Find P(x̄ > 64).

In a random sample of n = 100, x = 60 subjects have the characteristic of interest. Find the 95% confidence interval for the population proportion p.