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Homework answers / question archive / 1)For each situation described below, choose the appropriate test that should be run in your calculator

1)For each situation described below, choose the appropriate test that should be run in your calculator

Statistics

1)For each situation described below, choose the appropriate test that should be run in your calculator. (1-PropZtest, 2-PropZtest, t-test, and 2 Sample t-test)

a. Sweet corn of a certain variety is know to produce ears of corns with a mean weight of 8 ounces. A farmer is testing a new fertilizer designed to produce larger earns of corn, as measured by their weight. He determines the mean weight from a random sample of ears of corn.

b. A researcher wishes to determine whether a refresher course can help students improve their score the second time they take the SAT exam. He compares the before refresher course scores with the after refresher course scores for a random sample of students.

c. A psychologist has developed a set of activities which she claims will help 65% of children develop better reading skills. In a study of the effectiveness of these activities, a class of second grade children learns with the activities. After some period of time, the reading skills of all of the children are assessed and the proportion of students who improved is reported. 

d. A teacher wishes to determine whether a 15-minute review before a quiz has an effect on student's performance. In one random sample of students, she reviews before the quiz and in another random sample of students, she does not review before the quiz. She then compares performance of the two groups.

e. Two different statistics classes are sampled and asked "Do you prefer cats over dogs?" Researchers wish to know if the percentage of students from each class who prefer cats is different.  

 

2.Which of the following is an example of matched pairs (dependent samples)?

a. a researcher compares the scores from a household duties survey for a random sample of Americans and a random sample of Italians

b. a researcher compares the scores from a household duties survey for a random sample of people to the claimed national average

c. a researcher compares the scores from a household duties for a random sample of males and females, who are married

d. a researcher compares the scores from a household duties survey for a random sample of males and a random sample of females

 

3.A 95% confidence interval for the mean BMI for 20-year old women is (18.5, 23.5). The sample mean, x

bar, and margin of error for this interval are:

a. sample mean=21.5; margin of error=5.0

b. sample mean=21.0; margin of error=2.5

c. sample mean= 20.5; margin of error=5.0

d. sample mean 20.5; margin of error=2.5

 

4.A certain cigarette brand advertises that the mean nicotine content of their cigarettes is 1.5 mg, but you are suspicious and plan to investigate the advertised claim by testing the hypotheses:

H0: population mean=1.5

H0: population mean>1.5

at a significance level of α=0.05. You will do so by measuring the nicotine content of 30 randomly selected cigarettes of this brand. What possible mistake could you be making if you end up rejecting the null hypothesis?

a. concluding that the cigarettes have more than 1.5mg of nicotine when they actually do

b. concluding that the cigarettes do not have more than 1.5mg of nicotine when they actually don't

c. concluding that the cigarettes have more than 1.5mg of nicotine when they actually don't

d. concluding that the cigarettes have do not have more than 1.5mg of nicotine when they actually do

 

5.The p-value from a one proportion z-test is 0.0674. What is an appropriate decision/conclusion at a significance level of 0.05?

a. fail to reject the null and favor the alternative

b. fail to reject the null and do not favor the alternative

c. reject the null and favor the alternative

d. reject the null and do not favor the alternative

 

6.The p-value from a one proportion z-test is 0.0328. What is an appropriate decision/conclusion at a significance level of 0.05?

a. fail to reject the null and not favor the alternative

b. reject the null and not favor the alternative

c. fail to reject the null and favor the alternative

d. reject the null and favor the alternative

 

7.Suppose in a test of hypotheses, data are deemed to be significant at  α=0.10, but not significant at  α=0.05. Which of the following is true about the p-value associated with this test?

a. 0.05<p-value<0.10

b. p-value>0.10

c. p-value<0.05

d. something must be wrong with the researchers interpretation of the p-value because data significant at level 0.10 are also significant at 0.05

 

8.Suppose in a test of hypotheses, data are deemed to be significant at  α=0.05, but not significant at α=0.10. Which of the following is true about the p-value associated with this test?

a. p-value>0.10

b. p-value>0.05

c. 0.05<p-value<0.10

d. something must be wrong with the researchers interpretation of the p-value because data significant at level 0.05 are also significant at 0.10

 

9.A polling agency is interested in testing whether the proportion of women who support a female candidate for office is greater than the proportion of men. A hypothesis test results in a p-value of 0.112. Which of the following is the best interpretation of the p-value?

a. the p-value is the probability of getting a result that is as extreme as or more extreme than the one obtained, the proportion of women who support the female candidate is greater than the proportion of men.

b. the p-value is the probability that women will support the female candidate

c. the p-value is the probability that men will support the female candidate

d. the p-value is the probability of getting a result that is as extreme as or more extreme than the one obtained, assuming that there are no differences in the proportions

 

10.Consumers are suspicious that a certain brand of tortilla chips contains less in the bag that what the bag is labeled. You are a researcher for the company and asked to explore the suspicion. You perform a significance test in which the null hypothesis is population mean=16 against the alternative of population mean < 16. The p-value of the test is 0.0236. Which statement below correctly explains the p-value in this situation?

a. the probability that the mean amount of chips is not equal to 16oz

b. the probability that the mean amount of chips is less than 16oz

c. the probability that we obtain a sample mean at or below the mean amount of chips observed if the true mean amount of chips is 16oz

d. the probability that the mean amount of chips is equal to 16oz

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