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Connect Four Notes.

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Presentation on theme: "Connect Four Notes."— Presentation transcript:

1 Connect Four Notes

2 1 2 3 4 5 6 7 F ? ? ? ? ? ? ? E ? ? ? ? ? ? ? D ? ? ? ? ? ? ? ? ? ? ? ? ? ? C ? ? ? ? ? ? ? B ? ? A ? ? ? ? ?

3 Your Question Here 1. In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Where p is the actual proportion of adults who say that it is morally wrong to not report all income on tax returns. a) Determine the value of .

4 Your Question Here 1. In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Where p is the actual proportion of adults who say that it is morally wrong to not report all income on tax returns. b) Determine the standard error.

5 Your Question Here 1. In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Where p is the actual proportion of adults who say that it is morally wrong to not report all income on tax returns. c) Determine the margin of error for a 95% confidence level.

6 Your Question Here 1. In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Where p is the actual proportion of adults who say that it is morally wrong to not report all income on tax returns. d) Without following the four-step process, construct the 95% confidence interval for the population proportion, p.

7 Your Question Here 1. In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Where p is the actual proportion of adults who say that it is morally wrong to not report all income on tax returns. e) Assume that you must conduct a new poll to determine the percentage of adults who believe that it is morally wrong to not report all income on tax returns. How many randomly selected adults must you survey if you want 99% confidence that the margin of error is no more than two percentage points? P-hat is unknown.

8 Your Question Here 2. A simple random sample of 37 weights of pennies made after 1983 has a mean of g and a standard deviation of 0.16 g. Where  is the actual mean weight of all pennies made after 1983. a) Determine the standard error of the mean.

9 Your Question Here 2. A simple random sample of 37 weights of pennies made after 1983 has a mean of g and a standard deviation of 0.16 g. Where  is the actual mean weight of all pennies made after 1983. b) Determine the margin of error for a 90% confidence level.

10 Your Question Here 2. A simple random sample of 37 weights of pennies made after 1983 has a mean of g and a standard deviation of 0.16 g. Where  is the actual mean weight of all pennies made after 1983. c) Without following the four-step process, construct the 90% confidence interval for the population mean µ

11 Your Question Here 4. A Gallup poll consisted of 1012 randomly selected adults who were asked whether “cloning of humans should or should not be allowed.” Results showed that 901 adults surveyed indicated that cloning should not be allowed. Find the best point estimate of the proportion of adults believing that cloning of humans should not be allowed.

12 Your Question Here 7. Assume that a sample is used to estimate a population proportion p. Find the margin of error, E, that corresponds to the given statistics and confidence level. 90% confidence, sample size is 400, of which 42% are successes.

13 Your Question Here 10. Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.04; confidence level: 96%; from a prior study, p-hat is estimated by 0.17.

14 Your Question Here 1. A random sample of 900 individuals has been selected from a large population. It was found that 180 are regular users of vitamins. Thus, the proportion of the regular users of vitamins in the population is estimated to be The standard error of this estimate is approximately

15 Your Question Here 2. A traffic consultant wants to estimate the proportion of cars on a certain street that have more than two occupants. She stands at the side of the road for two hours on a weekday afternoon and flips a coin each time a car approaches. If the coin comes up heads, she counts the number of occupants in the car. After two hours, she has counted 103 cars, 15 of which had more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy?

16 Your Question Here 3. A polling organization announces that the proportion of American voters who favor congressional term limits is 64%, with a 95% confidence margin of error of 3%. Which of the following statements is a correct interpretation of 95% confidence? a) If the poll were conducted again in the same way, there is a 95% chance that the fraction of voters favoring term limits in the second poll would be between 61% and 67%. b) There is a 95% probability that the true percent of voters favoring term limits is between 61% and 67%. c) If the poll were conducted again the same way, there is a 95% probability that the percent of voters favoring term limits in the second poll would be within 3% of the percent favoring term limits in the first poll. d) Among 95% of the voters, between 61% and 67% favor term limits. e) None of the above.

17 Your Question Here 4. Suppose the poll in the previous question was conducted by , and those conducting the survey are concerned about the possibility of undercoverage, since some people do not use or have filters that block mass s. Which of the following is the best way for them to correct for this source of bias? a) Throw this sample out and start over again with a better sampling method. b) Use a higher confidence level, such as 99%. c) Use a lower confidence level, such as 80%. d) Use a t-interval instead of a z-interval. e) Take a larger sample.

18 Your Question Here

19 Your Question Here 6. Which of the following has the highest probability? a) Randomly selecting a value between −2 and 2 from a standard Normal distribution. b) Randomly selecting a value between −2 and 2 from a t-distribution with 4 degrees of freedom. c) Randomly selecting a value between −2 and 2 from a t-distribution with 20 degrees of freedom. d) Randomly selecting a value less than −2 or greater than 2 from a standard Normal distribution. e) Randomly selecting a value less than −2 or greater than 2 from a t-distribution with 20 degrees of freedom.

20 Your Question Here 7. A 95% confidence interval for the mean reading achievement score for a population of third grade students is (44.2, 54.2). Suppose you compute a 99% confidence interval using the same data. Which of the following statements is correct? The intervals have the same width. The 99% interval is narrower. c) The 99% interval is wider. d) The 99% interval could be wider or narrower e) The answer can’t be determined from the information given.

21 Your Question Here 8. What is the critical value t* that satisfies the condition that the t distribution with 8 degrees of freedom has probability 0.10 to the right of t*? 0.90 1.282 1.397 1.415 1.860

22 Your Question Here

23 Your Question Here

24 Your Question Here Give the four step process required on the AP exam for writing and interpreting CI’s.

25 Your Question Here Name the three conditions you must check before finding a confidence interval.

26 Your Question Here When creating Confidence Intervals, when do you use z* and when do you use t*?

27 Your Question Here What is the formula for standard error of a sample proportion?

28 Your Question Here What is the formula for standard error of a sample mean?

29 Your Question Here What is the difference between standard error and margin or error?

30 Your Question Here When checking the Normal condition for sample proportions, what do you show?

31 Your Question Here When checking the Normal condition for sample means, what do you show if the sample size is < 30 in order to safely use a t* distribution?

32 Your Question Here Increasing the sample size does what to the Confidence Interval?

33 Your Question Here Decreasing the confidence level does what to the Confidence Interval?

34 Your Question Here Find the t* critical value for 85% CL and n = 15

35 Your Question Here Explain how nonresponse, undercoverage and response bias can affect the confidence interval

36 Your Question Here If you quadruple the sample size, the ME is changed by how much?

37 Your Question Here What is the largest state in the United States?
alaska

38 Your Question Here Who was the famous detective who smoked a pipe and played the violin? s. holmes

39 Your Question Here What did the crocodile swallow in Peter Pan?
Alarm clock

40 Your Question Here Name the five colors in the Olympic rings?
Red, yellow, green, blue, black

41 Your Question Here Name the first three planets as you move away from the sun. Mecury, venus, earth

42 Your Question Here How many curves are in a standard paper clip? 3

43 Your Question Here What is a female sheep called? ewe

44 Your Question Here Who invented the telephone? Alexander graham bell

45 Notes You need to disable the pop up toolbar for the slide show as it covers up two question boxes. To do this; Press the office button. Click PowerPoint options at the very bottom. Click Advanced, and under slide show uncheck show popup toolbar To set up write your questions on the slides. This is your classic connect four, each space can turn yellow, red and back to black, just click the space. The question marks hyperlinks to the question slides, the home button hyper links back to the game board. See next slide for example of correct and incorrect play.

46 Correct Play Incorrect Play


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