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Chapter 7: Q.1.2 (page 417)
On a New York鈥搕o鈥揇enver flight, of the passengers were selected for random security screening before boarding. According to the Transportation Security Administration, of passengers at this airport are chosen for random screening.
ounces is the statistic.
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The candy machine Suppose a large candy machine has 15% orange candies. Use Figure 7.13 (page 435) to help answer the following questions.
(a) Would you be surprised if a sample of 25 candies from the machine contained 8 orange candies (that's orange)? How about 5 orange candies (orange)? Explain.
(b) Which is more surprising: getting a sample of 25 candies in which localid="1649737645698" are orange or getting a sample of 50 candies in which localid="1649737650189" are orange? Explain.
The correlation between the age and height of children under the age of is found to be. Suppose we use the age of a child to predict the height y of the child. What can we conclude?
(a) The height is generally of a child鈥檚 weight.
(b) About of the time, age will accurately predict height.
(c) The fraction of the variation in heights explained by the least-squares regression line of on is.
(d) The least-squares regression line of on has a slope of.
(e) Thirty-six percent of the time, the least-squares regression line accurately predicts height.
In the language of government statistics, you are 鈥渋n the labor force鈥� if you are available for work and either working or actively seeking work. The unemployment rate is the proportion of the labor force (not of the entire population) who are unemployed. Here are data from the Current Population Survey for the civilian population aged years and over in a recent year. The table entries are counted by thousands of people.
Unemployment (5.1) What is the probability that a randomly chosen person 25 years of age or older is in the labor force? Show your work.
Bottling cola A hattling compamy uses a fillimg maichine to fill plastic botles with cola. The bottles are supposed to contain milliliters (ml) . In fact, the contents vary according to a Normal distribution with mean ml and standard deviation
(a) What is the probability that in individual bottle contains less than ? Show you work.
(b) What is the probability that the mean contents of six randomly selected bottles is less than ? Show your work.
Suppose we select an SRS of size from a large population having proportion p of successes. Let be the proportion of successes in the sample. For which value of p would it be safe to use the Normal approximation to the sampling distribution of ?
(a)
(b)
(c)
(d)
(e)
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