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Chapter 7: Q 48. (page 464)
Decreasing the sample size from to would multiply the standard deviation by
a. 2.
b.
c. 1/2.
d.
e. none of these.
The correct option is (b)
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Exercises 77 refer to the following setting. In the language of government statistics, you are "in the labor force" 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) that is unemployed. Here are estimates from the Current Population Survey for the civilian population aged 25 years and over in a recent year. The table entries are counts in thousands of people.
Unemployment (1.1) Find the unemployment rate for people with each level of education. Is there an association between unemployment rate and education? Explain your answer.
The candy machine Suppose a large candy machine has orange candies, Use Figures (page 434) to help answer the following questions.
(a) Would you be surprised if a sample of candies from the machine contained orange candies (that's orange)? How about orange candies ( orange)? Explain.
(b) Which is more surprising getting a sample of candies in which are orange or getting a sample of candies in which are orange? Explain.
Cold cabin? The dotplot shows the results of taking SRSs of temperature readings from a Normal population with and and recording the sample standard deviation each time. Suppose that the standard deviation from an actual sample is . What would you conclude about the thermostat manufacturer's claim? Explain your reasoning.
Bearings A production run of ball bearings is supposed to have a mean diameter of centimeters (cm). An inspector chooses bearings at random from the run. These bearings have mean diameter cm.
identify the population, the parameter, the sample, and the statistic.
Songs on an iPod David's iPod has about 10,000 songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225 seconds and a standard deviation of 60 seconds. Suppose we choose an SRS of 10 songs from this population and calculate the mean play time of these songs.
a. Identify the mean of the sampling distribution of .
b. Calculate and interpret the standard deviation of the sampling distribution of . Verify that the condition is met.
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