MATH 2328 Test 3 Review

x̄ estimates _.

• μ

• p

• σ

• r

p̂ ("p hat") estimates _.

• μ

• p

• σ

• r

s_x estimates _.

• μ

• p

• σ

• r

True/False: The sample mean is an unbiased estimator of the population mean.

• True

• False

True/False: The sample range is an unbiased estimator of the population range.

• True

• False

True/False: The underlying distribution needs to be normal for the Central Limit Theorem to hold.

• True

• False

True/False: We use a confidence interval to describe a parameter.

• True
• False

True/False: The null hypothesis is always expressed as an equality.

• True
• False

If the p-value is not small, we ____ the null hypothesis.

• Accept

• Reject

• Prove

• Fail to reject

A 99% confidence interval for p^ says that:

• If we take 100 random samples from a population, we expect 99 of the confidence intervals of p^ to contain the true parameter p.

• There is a 99% probability that the confidence interval contains p.

• p^ deviates from p by at most 1%.