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- 1. Multiple Choice
Which of the following best describes a Type I error?
The null is true, but we mistakenly reject it.
The null is false and we reject it.
The null is false, but we fail to reject it.
The null is true but we fail to reject it.
The null is true, and we fail to reject it.
- 2. Multiple ChoiceTo test a claim about a mean, when the population standard deviation is unknown we use:z proceduresPythagorean Theoremt proceduresnp > 10 and n(1-p) > 10
- 3. Multiple Choice
The null hypothesis is represented by:
Ha
Ho
t*
HP
μ
- 4. Multiple Choice
The null hypothesis always contains a(an):
< or >
=
>
= or >
≠
- 5. Multiple ChoiceWhen p-value is greater than alpha we:Accept HoAccept HaFail to reject HoReject Ho
- 6. Multiple ChoiceMargin of error equals:Critical Value ∗ standard Errorz*1.96Standard Error
- 7. Multiple Choice
Which of the following best describes a type II error?
The null is true, but we mistakenly reject it.
The null is false and we reject it.
The null is false, but we fail to reject it.
The null is true but we fail to reject it.
Te null is false, and we reject it.
- 8. Multiple ChoiceWhat does it mean when a test is statistically significant?it has reached alpha level statusthe test statistic had a P-value higher than the alpha levelthe test statistic had a P-value lower than the alpha levelit is important in practical terms
- 9. Multiple ChoiceHow can you reduce both Type I and Type II errors?it can't be reducedredo the testsincrease the sample sizetamper with the data
- 10. Multiple ChoiceA researcher plans to conduct a test of hypotheses at the α = 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type I error is0.010.100.900.99
- 11. Multiple ChoiceYou construct a 95% confidence interval for a mean and find it to be 1.1 ± 0.8. Which of the following is true?A test of the hypotheses H0: μ = 1.2, Ha: μ ≠ 1.2 would reject H0 at the 0.05 level.A test of the hypotheses H0: μ = 1.1, Ha: μ ≠ 1.1 would reject H0 at the 0.05 levelA test of the hypotheses H0: μ = 0, Ha: μ ≠ 0 would reject H0 at the 0.05 levelAll three tests above would reject H0 at the 0.05 level.
- 12. Multiple ChoiceA left-tailed test with n = 41 has a test statistic t = 2.72. Which is the correct p-value?0.0033.00486.0096Not enough
information - 13. Multiple ChoiceA car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated?H0 = 47
Ha = 47H0 = 47
Ha < 47H0 = 47
Ha > 47H0 = 47
Ha ≠ 47 - 14. Multiple ChoiceYou have data on rainwater collected at 16 locations in the Adirondack Mountains of New York State. One measurement is the acidity of the water, measured by pH on a scale of 0 to 14 (the pH of distilled water is 7.0). Which inference procedure would you use to estimate the average acidity of rainwater in the Adirondacks?one-sample z interval for μone-sample t interval for μone-proportion z-testone-sample t test
- 15. Multiple ChoiceIn their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. The agency should be testing the null hypothesis H0: m = 10 and the alternative hypothesisHa: μ < 10Ha: μ > 10Ha: μ ≥ 10Ha: μ ≤ 10
- 16. Multiple Choice
the z-score is closest to: (you can use 1PropZtest or the z-score equation by hand)
- 17. Multiple Choice
Since our p-value of 0.027 is >undefined , we fail to reject the null hypothesis. We do not have convincing evidence that the new method is better.
- 18. Multiple Choice
A test of H0: µ=60 versus Ha: µ≠60 produces a sample mean of x-bar = 58 and a P-value of 0.04. At an α = 0.05 level, which of the following is an appropriate conclusion?
There is sufficient evidence to conclude that µ < 60.
There is sufficient evidence to conclude that µ = 60.
There is insufficient evidence to conclude that µ = 60.
There is insufficient evidence to conclude that µ ≠ 60
There is sufficient evidence to conclude that µ ≠ 60.
- 19. Multiple Choice
We want to test H0: µ = 1.5 vs. Ha : µ ≠ 1.5 at α = 0.05 . A 95% confidence interval for µ calculated from a given random sample is (1.4, 3.6). Based on this finding we
fail to reject H0
reject H0
cannot make any decision at all because the value of the test statistic is not available
cannot make any decision at all because the distribution of the population is unknown
cannot make any decision at all because (1.4, 3.6) is only a 95% confidence interval for µ
- 20. Multiple Choice
The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwise allows you to eat whatever you like. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are (see photo). What would a Type II error be for this test of the water diet?
Concluding that the diet leads to weight loss when it doesn’t.
Concluding that the diet leads to weight loss when it really does.
Not concluding that the diet leads to weight loss when it does.
Not concluding that the diet leads to weight loss when it really doesn’t.
Drawing a conclusion from this test when the Normality condition has not been satisfied.
- 21. Multiple Choice
Resting pulse rate is an important measure of the fitness of a person's cardiovascular system, with a lower rate indicative of greater fitness. The mean pulse rate for all adult males is approximately 72 beats per minute. A random sample of 25 male students currently enrolled in the Agriculture School at a major university was selected and the mean resting pulse rate was found to be 80 beats per minute with a standard deviation of 20 beats per minute. The experimenter wishes to test if the students are less fit, on average, than the general population. The null and alternative hypotheses are:
H0: μ = 72; Ha: μ < 72
H0: x-bar = 72; Ha: x-bar < 72
H0: μ = 80; Ha: μ =72
H0: x-bar = 80; Ha: x-bar > 72
H0: μ = 72; Ha: μ > 72
- Answer choicesTagsAnswer choicesTags