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Chapter 7: Q. 1.3 (page 448)
The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean days and standard deviation days.
Compute the standard deviation of the sampling distribution of. Check that the condition is met.
The standard deviation is .
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3. Describe the shape of the
The histogram above left shows the intervals (in minutes) between eruptions of the Old Faithful geyser for all recorded eruptions during a particular month. For this population, the median is minutes. We used Fathom software to takeSRSs of size from the population. The values of the sample median are displayed in the histogram above right. The mean of the sample median values is .
Sampling distribution. Explain what this means in terms of overestimating or underestimating the population median
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.
1) State whether it is a parameter or a statistic and (2)use appropriate notation to describe each
number; for example, p = 0.65.
Get your bearings A large container of ball bearings has mean diameter 2.5003 centimeters (cm). This is within the specifications for acceptance of the container by the purchaser. By chance, an inspector chooses 100 bearings from the container that have a mean diameter of 2.5009 cm. Because this is outside the
Suppose that you are a student aide in the library and agree to be paid according to the 鈥渞andom pay鈥� system. Each week, the librarian flips a coin. If the coin comes up heads, your pay for the week is . If it comes up tails, your pay for the week is . You work for the library for weeks. Suppose we choose an SRS of 2 weeks and calculate your average earnings x. The shape of the sampling distribution of xwill be
(a) Normal.
(b) approximately Normal
(c) right-skewed
(d) left-skewed.
(e) symmetric but not Normal.
Making auto parts grinding machine in an auto parts plant prepares axles with a target diameter millimeters (mm). The machine has some variability, so the standard deviation of the diameters is . The machine operator inspects a random sample of axles cach hour for quality control purposes and records the sample mean diameter ,how many axles would you need to sample if you wanted the standard deviation of the sampling distribution to be?justify your answer.
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