1) A hypothesis test was conducted to determine whether the mean gas mileage of a particular brand of car was greater than 30 mpg.The hypotheses were H₀: = 30 and H_A: > 30.The resulting p-value was 0.038.

Based on the results of this significance test, do you conclude that this car brand has a mean gas mileage greater than 30 mpg at a 1% significance level?Why?

a: Yes,the p-value is not sufficiently small forthis significance level.

b: No,the p-value is sufficiently small for this significance level.

c: No,the p-value is not sufficiently small for this significance level.

d: Yes, the p-value is sufficiently small for this significance level.

2) Suppose you perform a one-sided, left tailed hypothesis test for the mean of a population and use a significance level of= 4%.

To confirm your result, you would also like to confidence interval for the population mean.

At what confidence level should you write the intervalsothat it corresponds to the hypothesis test?

92%

98%

96%

90%

3) An article contains a 95% confidence interval.The margin of error in a 99% confidence interval computed from the same sample data would be

smaller.

the same.

larger.

cannot be determined from the information.

4) Which of these is a difference between thet-distribution and the²-distribution?

a: Thet-distribution is symmetric while the²-distribution is not.

b: The²-distribution uses degrees of freedom while thet-distribution does not.

c: Values of thet-distribution are only positive while the values of the²-distribution are both positive and negative.

d:Thet-distribution is unimodal while the²-distribution is not.

5) A roadside check for impaired drivers assumes under the null hypothesis that the driver is sober.

Which is thecorrect interpretationif the breathalyzerreading was affected by aType Ierror ?

a: The breathalyzer reading concludes that the driver is impaired when in reality the driver is sober.

b: The breathalyzer reading concludes that the driver is impaired and the driver really is impaired.

c: The breathalyzer reading concludes that the driver is sober when in reality the driveris impaired.

d: The breathalyzer reading concludes that the driver is sober and the driver really is sober.

6) Which of these p-values would be strongest evidence to reject a null hypothesis and concludein favor of the alternative hypothesis?

a: 0.023

b: 0.783

c: 0.156

d: 0.078

e: 0.007