Chapter 8 Questions Mcgraw Hill

what is the confidence level if α=0.05

(1-α)=(1-.05)=95%

a 95% confidence interval for the population mean is constructed as 6 +_ 2 what is the probability of error, α?

0.05

AAA batteries are advertised to have a life of about 9 hours of use. With a certain level of confidence , it is advertised that the life is between 8-10 hours. if 9 hours is the point estimate, than the margin of error is

1 hour (the margin of error is half of the width of the confidence interval)

for a 95% confidence interval for the population mean, if the samples of size n are drawn repeatedly from a given population, then

5% of the sample means will fall outside of the corresponding confidence interval

each t distribution is identified by its

degrees of freedom

Suppose you are constructing a confidence interval for the population mean, For a given confidence level and sample size, the width of the interval is wider for a

larger standard deviation

In order to construct a confidence interval for μ , the sampling distribution of the estimator X (with a line above it) must follow or approximately follow an _________distribution

normal

Two main components of a confidence interval are

point estimate and margin of error

Confidence interval can be interpreted as

range of values used to estimate an unknown population parameter

suppose you are constructing a confidence interval for a population mean, For a given confidence level and standard deviation, the width of the interval is wider for a

smaller sample size

The greek letter_________denotes the level of significance

α (alpha)

suppose you are constructing a confidence interval for the population mean. for a given sample size and population standard deviation, how will the width of the interval change as the confidence level increases?

It gets larger