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For the next poll of the Toronto mayor’s approval rating, we want to get a margin of error of 1% with 95% confidence. How many individuals should we sample? (In the last poll his approval rate was 62%).

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A researcher wants to determine what proportion of the community members are in favour of building new subway in a certain area of the city. How many people does she have to include in her study if she wants a margin of error of no more than 2% at a level of confidence of 90%?

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We are estimating the percentage of taxpayers who are in favour of a particular tax-related piece of legislation.  We want to be 98% sure that our estimate is within 3% from the true population value.  What should be the number of taxpayers included in our representative sample? Our expectation is that approximately 80% of taxpayers would be in favour.

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Suppose 100 different polls were taken using the same methodology to construct 90% confidence intervals for the proportion of voters who favor a tax increase to support the school district. Which of the following is true?

a) About 90 of the polls would give a sample proportion within one standard deviation of the true proportion of voters favoring the tax increase.

b) About 90 of the polls would get a sample proportion that matched the population proportion.

c) About 90 of the polls would have a margin of error that covered the true proportion of voters favoring the tax increase.

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The goal of a confidence interval is to suggest possible values for a:

a) sample estimate

b) population value

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Which of the following is the typical structure of a confidence interval?

a) sample estimate ± (multiplier)

b) (margin of error) ± sample estimate

c) sample estimate ± (margin of error)

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The equatorial radius of the planet Jupiter is measured 40 times independently by a process that is practically free of bias.  These measurements average ¯x = 71492 kilometers with a standard deviation of s = 28 kilometers.  Find a 90% confidence interval for the equatorial radius of Jupiter.

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In a random sample of 50 intramural basketball players at a large university, the average points per game was 8, with a standard deviation of 2.5 points and a 95% confidence level.
Which of the following statements is correct?

(A) With 95% confidence, the average points scored by all intramural basketball players is between 7.3 and 8.7 points.

(B) With 95% confidence, the average points scored by all intramural basketball players is between 7.7 and 8.4 points.

(C) With 95% confidence, the average points scored by all intramural basketball players is between 5.5 and 10.5 points.

(D) With 95% confidence, the average points scored by all intramural basketball players is between 7.2 and 8.8 points.

(E) With 95% confidence, the average points scored by all intramural basketball players is between 7.6 and 8.4 points.

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If a retailer would like to estimate the proportion of their customers who bought an item after viewing their website on a certain day with a 95% confidence level and 5% margin of error, how many customers do they have to monitor?

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We would like to estimate the average Internet usage of households in one week for a business plan and model. How many households must we randomly select to be 95 percent sure that the sample mean is within 45 seconds of the population mean. Assume that a previous survey of household usage has shown that the population standard deviation is 6.95 minutes.

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Irandeep, Simrandeep, Asim khan, and Catherine

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Arshpreet singh, Gurminderpal singh and Jasmeet singh

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set 2 Irandeep, Simrandeep,Asim khan, and Catherine

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Arshpreet singh,Gurminderpal singh and Jasmeet singh

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Zezhong Wang, Jintao Zheng, zijie Guo, Guoyong Cheng

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Zezhong Wang, Jintao Zheng, zijie Guo, Guoyong Cheng