Q1. Fifty randomly sampled people have a sample mean total cholesterol level of 205.27 mg/dL, with standard deviation 35.12 mg/dL.The US Department of Health suggests that a healthy cholesterol level should be at or below 200 mg/dL.Test whether the population mean meets this suggestion, using alpha = 0.05.State the p-value and your conclusion.

A. P-value: 0.1469

Conclusion: Fail to reject H0

B. P-value: 0.1469

Conclusion: Reject H0

C. P-value: 0.853

Conclusion: Fail to reject H0

D. P-value: 0.853

Conclusion: Reject H0

Q2. A person works in quality control for a company, testing whether the company's exercisemachines are performing within their required specifications.Their null hypothesis is that the machines are performing within their requirements, and the alternative is that they are not.This person knows that rejecting the null hypothesis is bad for the company.If this person were unethical, what might they do to the significance level alpha to make sure the null hypothesis was rejected very, very rarely?

A. Make alpha very small.

B. Make alpha very large

C. Nothing - you can do nothing.

Q3. According to a report in Influence Central, the average age at which a child receives theirfirst cell phone is now 10.3 years old. We randomly sample 35 children, and find an average for the age that they received their first cell phone of 10.8 years old, with standard deviation 1.52 years. Ages are normally distributed. Is there enough evidence to support the idea that the population average age for a first phone is greater than 10.3 years old?Report the p-value and conclusion, using alpha = 0.01.

A. P-value: 0.02997

Conclusion: Fail to reject H0

B. P-value: 0.02997

Conclusion: Reject H0

C. P-value: 0.0599

Conclusion: Fail to reject H0

D. P-value: 0.0599

Conclusion: Reject H0

Q4. For the previous question, change alpha to 0.10. Does your conclusion change?

A. Yes, we now reject H0.

B. Yes, we now fail to reject H0.

C. No, it does not change.

Q5. A corrupt CEO wants to reject the null hypothesis their analysts are testing. Will the CEO tell them to use an alpha value that is very large, or very small?

A. Very large

B. Very small

C. It doesn't matter

Q6. If you rejected the null hypothesis, you might be correct or you might have made an error.What error might you have made?

A. Type I error

B. Type II error

C. Both Type I and Type II errors

Q7. If you failed to rejected the null hypothesis, you might be correct or you might have made an error.What error might you have made?

A. Type I error

B. Type II error

C. Both Type I and Type II errors