Statistical Inferences

Each dot represents 1 day. How many days were recorded?

• 9

• 21

• 20

• 105

Q1. How many red shirts do you have?

• A) 5 red shirts

• B) 17 red shirts

• C) 40 red shirts

• D) 83 red shirts

• More than 50% of the people purchased a hamburger or a sub. 
• Less than 20% of the people purchased a hamburger.
• More people purchased fried rice than chicken.

• Less than 5% chose cranberry as their favorite. 
• Less than 1/3 of the students chose grape as their favorite. 
• More than 50% of the students chose apple or orange as their favorite. 
• More than 1/2 of the students chose grape or cramberry as their favorite. 

• About 40% of the marbles in the bag are red.
• The bag probably contains about 45 yellow marbles.
• There are about twice as many blue marbles than green marbles. 
• There are about three times as many green marbles as there are red marbles. 

• More than 50% of the customers bought chocolate. 
• About 50% of the customers bought strawberry. 
• More than 25% of the customers bought vanilla. 
• About 25% of the customers bought mint. 

Anna recorded the types of vehicles that drive by her house. The table shows the types of the last 150 vehicles that drove by her house. Using the data, what is the probability that the next vehicle to drive by her house will be a pickup truck?

• Raymond is incorrect. He wants to draw a marble 100 times, which is not divisible by all of the probability model fractions. It does not matter if he draws a marble 10 times or 100 times.

• Raymond is incorrect. The actual outcome of selecting each color after 100 draws will be 10 times the outcomes of drawing a marble 10 times.

• Raymond is correct. The more times he draws a marble, the closer the probability model will match the actual outcomes of selecting each color from the jar.

• Raymond is correct. Every event should be tested 100 times to determine if the actual outcome is close to the expected outcome from the probability model.

The spinner is spun 100 times. Based on the theoretical probabilities of landing on each color, Eva predicted the following set of outcomes. Side Color Eva's Prediction for the Number of times it is landed on Red 20 Orange 20 Purple 20 Yellow 20 Green 20 Will Eva's predictions MOST LIKELY match the actual outcomes?

• Yes, experimental outcomes always equal theoretical outcomes.

• Yes, because she spun the spinner 20 times.

• No, because Eva's predicted outcomes should show the spinner landing on green the most and orange the least.

• No, because experimental outcomes rarely are the same as theoretical outcomes.

A gaming machine randomly dispenses a ball numbered 0-9. The machine dispensed a ball 750 times. How many of those numbers would be expected to be 3 or less?

• Around 333 times, but not exactly 333 times.

• Around 250 times, but not exactly 250 times.

• Around 300 times, but not exactly 300 times.

• Around 225 times, but not exactly 225 times.