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Question: Do you drink the cereal milk? A USA Today Poll asked a random sample of 1012 U.S. adults what they do with the milk in the bowl after they have eaten the cereal. Let p^ be the proportion of people in the sample who drink the cereal milk. A spokesman for the dairy industry claims that 70% of all U.S. adults drink the cereal milk. Suppose this claim is true.
(a) What is the mean of the sampling distribution of p^? Why?
(b) Find the standard deviation of the sampling distribution of p^. Check to see if the 10% condition is met.
(c) Is the sampling distribution of p^ approximately Normal? Check to see if the Large Counts condition is met.
(d) Of the poll respondents, 67% said that they drink the cereal milk. Find the probability of obtaining a sample of 1012 adults in which 67% or fewer say they drink the cereal milk if the milk industry spokesman's claim is true. Does this poll give convincing evidence against the claim? Explain.
Big heads? The army reports that the distribution of head circumference among male soldiers is approximately Normal with mean 22.8 inches and standard deviation
(a) What is the sample mean of annual medical expenses? (b) What is the confidence level of the interval estimate (as a decimal)?
Let a b in R and let f be continuous from [a, b] into R. Show that f takes all values between f (a) and f (b). Hint: Apply parts (a), (b) and (c).
The quality control inspector of a production plant will reject a batch of syringes if 2 or more defective syringes is found in a random sample of 8 syringes taken from the batch. Suppose the batch 1% defective syringes.
Which of the following is not true about the t-distribution?
Two couples act on the beam as shown. Determine the magnitude of F so that the resultant couple moment is 300 lb . ft counterclockwise. Where on the beam does the resultant couple act?
Your manager, who just read an abridged version of a statistics book, wants you to test hypotheses for the difference in two population means.
a study found that the average time it took a person to find a new job was 3.5 months. if a sample of 30 job seekers
Refer to a study published in the Journal of the American Medical Association and reported in the Sacramento Bee on January 26, 2000 ("Study Ties Hormone Replacement, Cancer" by Shari Roan, p. A1).- Do you think this research was an observational s..
In ac, as in many computer languages, variables are considered uninitialized after they are declared. A variable needs to be given a value (in an assignment statement) before it can be correctly used in an expression or print statement.
If this information is based on two independent random samples of 200 viewers each, test for equality of proportions using α = 0.05.
The size of an atom is approximately 10-8 cm. To locate an electron within the atom, one should use electromagnetic radiation of wavelength not longer than 10-9 cm. What is the energy of the photon with such a wavelength (in cV)?
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