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Chapter 7: Q. 18 (page 463)
Records from a random sample of dairy farms yielded the information below on the number of male and female calves born at various times of the day.
What is the probability that a randomly selected calf was
born in the night or was a female?
(a)
(b)
(c)
(d)
(e)
The correct answer is option (a).
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Cold cabin? The Fathom screenshot below shows the results of taking SRSs of temperature readings from a population distribution that鈥檚 and recording the sample minimum each time.
(a) Describe the approximate sampling distribution.
(b) Suppose that the minimum of an actual sample is . What would you conclude about the thermostat manufacturer鈥檚 claim? Explain.
A researcher initially plans to take anSRS of size n from a population that has a mean of 80 and a standard deviation of . If he were to double his sample size (to ), the standard deviation of the sampling distribution of the sample mean would be multiplied by
(a) .
(b) .
(c) .
(d) .
(e)
T7.11. Below are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram
Which statistic would provide the best estimate of the parameter? Justify your answer
Larger sample Suppose that the blood cholesterol level of all men aged follows the Normal distribution with mean milligrams per deciliter (mg/dl) and standard deviation
(a) Choose an SRS of men from this population What is the sampling distribution of ?
(b) Find the probability that estimates within . (This is the probability thattakes a value between .) Show your work.
(c) Choose an SRS of men from this population. Now what is the probability that falls withinof? show your wrok.in what sense is the large sample "better".
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.
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