MATH225N Week 8: Final Exam Week 5 – 8

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CLASS:

MATH225N – Statistical Reasoning for the Health Sciences

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MATH225N Week 8 Final Exam Week 5 – 8 (Q&As)

Question 1

Data is collected on the relationship between time spent playing video games and time spent with family. The data is shown in the table and the line of best fit for the data is y^=−0.27x+57.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables.

According to the line of best fit, the predicted number of minutes spent with family for someone who spent 95 minutes playing video games is 31.85. Is it reasonable to use this line of best fit to make the above prediction?

Ans:

The estimate, a predicted time of  31.85 minutes, is unreliable but reasonable.

The estimate, a predicted time of  31.85 minutes, is both unreliable and unreasonable.

The estimate, a predicted time of  31.85 minutes, is both reliable and reasonable.

The estimate, a predicted time of  31.85 minutes, is reliable but unreasonable.

Question 2

Which of the following are feasible equations of a least squares regression line for the annual population change of a small country from the year 2000 to the year 2015? Select all that apply.

Ans:

yˆ=38,000+2500x

yˆ=38,000−3500x

yˆ=−38,000+2500x

yˆ=38,000−1500x

Question 3

To test the effectiveness of a drug proposed to relieve symptoms of headache, physicians included participants for a study. They gave the drug to one group and a drug with no therapeutic effect to another group. Which group receives the placebo?

Ans:

the physicians

the group that received the drug for headache

the group that received the drug with no therapeutic effect

all of the people in the study

Question 4

Becky’s statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times.

Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%.

Which answer choice shows the correct null and alternative hypotheses for this test?

Ans:

H0:p=0.6; Ha:p>0.6, which is a right-tailed test.

H0:p=0.5; Ha:p<0.5, which is a left-tailed test.

H0:p=0.6; Ha:p≠0.6, which is a two-tailed test.

H0:p=0.5; Ha:p≠0.5, which is a two-tailed test.

Question 5

A farmer divided his piece of land into 4 equivalent groups. The quality of the soil is the same across the 4 groups of land. He planted the same crop in all 4 groups of land and recorded the yield of the crop in all 4 groups for a 4 week period. Is the study observational or experimental? If it is an experiment, what is the controlled factor?

Ans:

The study is an observational study.

Question 6

The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?

z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576

Use the table above for the z-score, and be sure to round up to the nearest integer.

Ans: 14 dog heights

Question 7

Assume the null hypothesis, H0, is: Jacob earns enough money to afford a luxury apartment. Find the Type I error in this scenario.

Ans:

Jacob thinks he does not earn enough money to afford the luxury apartment when, in fact, he does.

Jacob thinks he does not earn enough money to afford the luxury apartment when, in fact, he does not.

Jacob thinks he earns enough money to afford the luxury apartment when, in fact, he does not.

Jacob thinks he earns enough money to afford the luxury apartment when, in fact, he does……………………please purchase entire exam questions and answers at $25 only