Question

1.

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.9 inches, and standard deviation of 8.5 inches.

A) What is the probability that a randomly chosen child has a height of less than 59.05 inches?

Answer= (Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height of more than 34.5 inches?

Answer= (Round your answer to 3 decimal places.)

LicensePoints possible: 1

2. In a survey, 15 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $42 and standard deviation of $10. Construct a confidence interval at a 80% confidence level.

Give your answers to one decimal place.

3.Out of 500 people sampled, 305 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to three places

< p <

4. If n = 600 and ˆpp^ (p-hat) = 0.3, construct a 99% confidence interval.

Give your answers to three decimals

< p <

5. Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 406 drivers and find that 289 claim to always buckle up. Construct a 86% confidence interval for the population proportion that claim to always buckle up.

Round to 4 decimal places. Interval notation ex: [0.1234,0.9876]

Answer 1