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Intro to Stat_Part_37

# Intro to Stat_Part_37 - 125 iii Calculate the error bound f...

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125 iii. Calculate the error bound. f. What does it mean to be “95% confident” in this problem? Exercise 8.9 (Solution on p. 135.) Suppose that 14 children were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of 6 months with a sample standard deviation of 3 months. Assume that the underlying population distribution is normal. a. i. x = ________ ii. s x = ________ iii. n = ________ iv. n - 1 = ________ b. Define the Random Variable X , in words. c. Define the Random Variable X , in words. d. Which distribution should you use for this problem? Explain your choice. e. Construct a 99% confidence interval for the population average length of time using training wheels. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. f. Why would the error bound change if the confidence level was lowered to 90%? Exercise 8.10 Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. a. When designing a study to determine this population proportion, what is the minimum num- ber you would need to survey to be 95% confident that the population proportion is esti- mated to within 0.03? b. If it was later determined that it was important to be more than 95% confident and a new survey was commissioned, how would that affect the minimum number you would need to survey? Why? Exercise 8.11 (Solution on p. 136.) Suppose that the insurance companies did do a survey. They randomly surveyed 400 drivers and found that 320 claimed to always buckle up. We are interested in the population proportion of drivers who claim to always buckle up.

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Intro to Stat_Part_37 - 125 iii Calculate the error bound f...

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