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Chapter 7: Q. 1.4 (page 448)
The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with meandays and standard deviation days.
Find the probability that the mean pregnancy length for the women in the sample exceeds davs, Show your work.
The probability is
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Imagine taking an SRS of . Make a graph showing a possible distribution of the sample data. Give the value of the appropriate statistic for this sample.
Which of the following statements about the sampling distribution of the sample mean is incorrect? (a) The standard deviation of the sampling distribution will decrease as the sample size increases.
(b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples.
(c) The sample mean is an unbiased estimator of the true population mean.
(d) The sampling distribution shows how the sample mean will vary in repeated samples.
(e) The sampling distribution shows how the sample was distributed around the sample mean
Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs insuch operations, the repair fails in , and both infection and failure occur together at the time. What is the probability that the operation is successful for someone who has an operation that is free from infection?
(a)
(b)
(c)
(d)
(e)
The number of undergraduates at Johns Hopkins University is approximately , while the number at Ohio State University is approximately . At both schools, a simple random sample of about of the undergraduates is taken. Each sample is used to estimate the proportion p of all students at that university who own an iPod. Suppose that, in fact, at both schools. Which of the following is the best conclusion?
(a) The estimate from Johns Hopkins has less sampling variability than that from Ohio State.
(b) The estimate from Johns Hopkins has more sampling variability than that from Ohio State.
(c) The two estimates have about the same amount of sampling variability.
(d) It is impossible to make any statement about the sampling variability of the two estimates since the students surveyed were different.
(e) None of the above
Cold cabin? The Fathom screenshot below shows the results of taking SRSs of temperature readings from a population distribution that’s 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’s claim? Explain.
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