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1. An auto company wanted to know the percentage of people who prefer to own safer...

1. An auto company wanted to know the percentage of people who prefer to own safer cars (that is, cars that possess more safety features) even if they have to pay a few thousand dollars more. A random sample of 500 people showed that 320 of them will not mind paying a few thousand dollars more to have safer cars.

Construct a 90% confidence interval for the percentage of people who will not mind paying a few thousand dollars more to have safer cars.

2. Tony’s Pizza guarantees all pizza deliveries within 30 minutes of the placement of orders. A preliminary study has shown that 93% of all Tony’s pizzas are delivered within 30 minutes. The sample size was 1084. What confidence interval was used if the maximum error was .02

3. An auto manufacturing company wants to estimate the variance of miles per gallon for its auto model AST727. A random sample of 24 cars of this model showed that the variance of miles per gallon for these cars is .58.

Construct the 95% confidence intervals for the population variance and standard deviation. Assume that the miles per gallon for all such cars are (approximately) normally distributed.

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