MGSC 291 Exam 3

True

As a general guideline, we use the alternative hypothesis as a vehicle to establish something new, or contest the status quo, for which a corrective action may be required. True False

Do not reject ho when true (1-a)

Confidence

Rejecting the null when false (1-b)

Power

A larger sample size reduces the margin of error

Statisticians like precision in their interval estimates. A low margin of error is needed to achieve this. Which of the following supports this when selecting sample sizes? -A larger sample size reduces the margin of error. -A smaller sample size reduces the margin of error. -A larger sample size increases the margin of error. -A sample size has no impact on the margin of error.

False

The t distribution consists of a family of distributions where the actual shape of each one depends on the degrees of freedom, df. For lower values of df, the t distribution is similar to the z distribution. True False

Reject Ho when true (a)

Type I error

Do not reject Ho when false (b)

Type II error

Normality of estimator

Which of the following is the necessary condition for creating confidence intervals for the population mean? -Normality of the estimator -Normality of the population -Known population parameter -Known standard deviation of the estimator

the null hypothesis will be rejected at a 5% significance level

f the null hypothesis is rejected at a 1% significance level, then _____________. -the null hypothesis will be rejected at a 5% significance level -the alternative hypothesis will be rejected at a 5% significance level -the null hypothesis will not be rejected at a 5% significance level -the alternative hypothesis will not be rejected at a 5% significance level

known

population

unknown

sample