1) A new sprinkler system is being installed at a large office complex. The manufacturer of the new system claims the mean activation time is less than 25 seconds. A set of fire alarm/sprinkler system tests were performed and the activation time (in seconds) for reach test were recorded to assess the manufacturer's claim.

The most appropriate procedure in this research scenario is a...

A :z-test for a single proportion,

B : z-interval for a single proportion,

C : t-test for a single mean,

D : t-interval for a single mean,

E : None of these would be appropriate for the research question posed

2)Approximately 450,000 vasectomies are performed each year in the US. In this surgical procedure for contraception, the tube carrying sperm from the testicles is cut and tied. Several studies have been conducted to analyze the relationship between vasectomies and prostate cancer. The results of one such study found that of 21,300 men who had not had the procedure, 69 were found to have prostate cancer; of 22,000 men who had had a vasectomy, 113 were found to have prostate cancer. The researchers hope to assess if having a vasectomy increases the risk of prostate cancer.

The most appropriate procedure in this research scenario is a...

A :z-test for a single proportion,

B : z-interval for a single proportion,

C : t-test for a single mean,

D : t-interval for a single mean,

E : None of these would be appropriate for the research question posed

3)The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They commission a survey of 120 residents and hope to use their results to estimate the proportion of all residents in the township that support a tax increase for the purposes of fixing and maintaining local roads.

A :z-test for a single proportion,

B : z-interval for a single proportion,

C : t-test for a single mean,

D : t-interval for a single mean,

E : None of these would be appropriate for the research question posed

4)Anorexia is an eating disorder that can cause a person to become dangerously underweight. In a recent study, 29 adolescents who were suffering from anorexia received a psychotherapy treatment called cognitive behavioral therapy, which stresses identifying the thinking that causes the undesirable behavior and replacing it with thoughts designed to help improve this behavior. Over the course of the study, the mean weight gain for the patients was x=3.0x with a standard deviation of =7.3 pounds

A :z-test for a single proportion,

B : z-interval for a single proportion,

C : t-test for a single mean,

D : t-interval for a single mean,

E : None of these would be appropriate for the research question posed