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In 1-3 sentences, define each of the following terms in your own words and provide an example: Bias Bold text start(2 marks)Bold text End Odds
- In 1-3 sentences, define each of the following terms in your own words and provide an example:
- Bias Bold text start(2 marks)Bold text End
- Odds Bold text start(2 marks)Bold text End
- Favourable outcome Bold text start(2 marks)Bold text End
- Data Bold text start(2 marks)Bold text End
- Describe in words (do not list all elements) the sample space of each experiment, find how many elements it contains, and state one of the elements:
- Drawing two cards from a deck without replacement. Bold text start(2 marks)Bold text End
- Drawing three cards from a deck with replacement. Bold text start(2 marks)Bold text End
- Rolling a 6-sided die, then flipping that many coins. Bold text start(4 marks)Bold text End
- Find the theoretical probability of:
- Drawing a red ace or a heart from a regular deck of cards. Bold text start(4 marks)Bold text End
- When guessing the birthdays of two friends, getting exactly one right, if you know the first friend was born in a leap year and the second friend wasn't. Assume birthdays are evenly distributed through the year. Bold text start(4 marks)Bold text End
- Being dealt at least 4 hearts in a hand of 5 cards dealt from a regular deck. Bold text start(5 marks)Bold text End
- When selecting 3 cards from a regular deck without replacement, having the 3rd card be the second spade drawn. Bold text start(5 marks)Bold text End
- Manpreet and her friends meet every Thursday night to play a different sport. When they play basketball, she has a 75% chance of being on the winning team. Considering their game next week, if there is a 40% chance they will play basketball then what are the odds in favour of Manpreet being on the winning team of a basketball game? Bold text start(4 marks)Bold text End
- A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck.
- How many cards are in this deck? Bold text start(1 mark)Bold text End
- Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club? Bold text start(3 marks)Bold text End
- When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of the same rank)? Bold text start(4 marks)Bold text End
- If you roll a 6-sided die 5 times and get the result "1, 1, 1, 1, 1" can you conclude whether the die is "fair" or not? Explain. Bold text start(3 marks)Bold text End
- In the field of statistics, give an example of:
- A discrete variable. Bold text start(1 mark)Bold text End
- A continuous variable. Bold text start(1 mark)Bold text End
- A qualitative variable. Bold text start(1 mark)Bold text End
- Is it ever ethical to add bias to a statistical study? In a paragraph, why or why not? Bold text start(4 marks)Bold text End
- You are conducting a statistical survey of library users. There are approximately 2500 people in the population (library patrons in a month), and you have a full list of their names, phone numbers, addresses, time & date of last visit, and any other reasonable information. If you want to create and survey a fair sample of 25 people, describe how you could do so using the following techniques. Be sure to include how you would contact your subjects.
- Simple random sampling Bold text start(3 marks)Bold text End
- Systematic random sampling Bold text start(3 marks)Bold text End
- Stratified random sampling Bold text start(3 marks)Bold text End
- Cluster random sampling Bold text start(3 marks)Bold text End
- Multistage random sampling Bold text start(4 marks)Bold text End
- A supermarket conducted a survey of 1000 consumers. Their population was "adults who shop for groceries." Use specific examples to explain how the following biases could have had the following effects:
- How could sampling bias have made it seem like adults eat more bread than in reality? Bold text start(3 marks)Bold text End
- How could non-response bias have made it seem like adults eat less fruit than in reality? Bold text start(3 marks)Bold text End
- How could response bias have made it seem like adults eat more vegetables than in reality? Bold text start(3 marks)Bold text End
- How could measurement bias have made it seem like adults drink more coffee than in reality? Bold text start(3 marks)Bold text End
- In a recent survey of a fair stratified random sample of the population, a question appeared as: Italic text startDo you plan to vote in favour of the speed limit change? Yes/NoItalic text End Italic text startA scientist found the following number of responses per stratum:Italic text End
Age 20-24 | Age 25-29 | Age 30-34 | |
---|---|---|---|
Yes | 45 | 80 | 5 |
No | 25 | 25 | 15 |
No response | 25 | 10 | 55 |
- What are two reasons a respondent might not answer this question? Bold text start(2 marks)Bold text End
- What are the strata in this sample? Bold text start(1 mark)Bold text End
- If a person is picked at random from the sample, what is the probability that they are age 25-29 or did not respond to this question? Bold text start(4 marks)Bold text End
- If three people are picked at random from the sample, what is the probability that at least one did not respond to this question? Bold text start(4 marks)Bold text End
- If we assume there is no bias, what conclusions can be drawn about the population's opinion of the speed limit change? Justify your response. Bold text start(4 marks)Bold text End
- How would your answer to (e) change if we found out that 90% of those who did not respond are actually against the change? Bold text start(2 marks)Bold text End
- Describe the game you designed for your culminating activity, along with any outstanding questions you have about the culminating at this point. No marks are assigned, but this is a space to get feedback from your teacher marker. Bold text start(0 marks)Bold text End
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