Advanced Algebra Reassessment

Imagine you're part of a high school survey where 43% of students confessed that their mom is their main financial advisor. Who do you think taught them the most about managing money?

• parameter

• statistic

Imagine you're a statistician in a world of normal distributions. Can you tell me what percent of this world lies outside of the realm of ±3 standard deviations?

• 99.7%

• .3%

• 100%

Imagine you're a quality control manager at a bustling dairy factory. The shelf life of a particular dairy product you're testing is normally distributed with a mean of 12 days and a standard deviation of 3 days. Can you guess what percent of the products last between 12 and 15 days?

• 68%

• 99.7%

• 95%

• 34%

Imagine Paula is a super-smart student who just took the SAT. She scored a whopping 1400! The average score was 1100 and the standard deviation was 275. Can you calculate the Z-score for Paula's amazing performance?

• -1.90

• -1.09

• +1.09

• +1.90

Imagine you're a scientist studying ultramarathon runners! These super athletes often get sick after their grueling races. You wonder if popping 600 milligrams of vitamin C daily could help them dodge those nasty bugs. So, you gather 100 ultramarathon runners and randomly assign them to either gulp down vitamin C or a placebo. You keep a close eye on them for 14 days after their epic race to see if any sniffles or coughs pop up. Can you guess the type of research design you just used?

• matched pairs

• completely randomized

• stratified 

Imagine you're a scientist! You've got two groups of subjects. One group gets an herbal supplement, the other gets a placebo. After a year, you compare the number of illnesses each group had. What kind of study is this?

• Observational Study

• Experiment

Imagine you're part of a creative advertising agency, and you're testing the impact of a brand new commercial. You're experimenting with three different durations (15, 30, and 60 seconds) and two unique styles (animated vs. live action). After watching the commercial in a specific style and duration, each test audience will rate the product. Can you identify the correct description of this scenario?

• This is an experiment with 2 factors (length and format), one having 3 levels (15, 30, 60) and the other having 2 levels (animated and live) for 6 treatments.

• This is an experiment with 1 factor (length) blocked by format with 3 levels (15, 30, 60).

• This is a sample survey with two questions and one response.

Imagine you're a scientist conducting a fun and fizzy experiment! You're curious to see how high soda will rocket into the air when you drop mint candies into two-liter bottles of soda. You decide to test this with one mint candy, five mint candies, and 10 mint candies. You design a cool cylindrical mechanism that drops the desired number of mint candies all at once. You have 15 bottles of soda at your disposal. You randomly assign five bottles for each candy amount: one candy, five candies, and ten candies. For each bottle, you record the height of the soda geyser created after the candies are dropped into it.

Can you tell what type of study this is?

• Survey

• Experimental Study

• Observational Study

Imagine you're a scientist conducting an experiment. What would you call the conditions you're comparing? Remember, these are randomly assigned to your subjects.

• treatments

• subjects

• Placebo

Imagine you're a scientist conducting an experiment. You have a group of subjects that you've randomly selected. This group doesn't get any treatment, they get a placebo, or they get a standard treatment. What would you call this group?

• control group

• subjects

• treatments

• observational study