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Chapter 3: Q 3.15 (page 101)
Explain what each of symbol represents:
Summation means the sum of all the observation.
Sample size, means the number of the observations in the sample.
Sample mean, means the mean of the observations for a sample.
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Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences, The recommended dietary allowance (RDA) of iron for adult females under the age of is milligrams (mg) per day. The iron intakes during a -hour period for a random sample of adult females under the age of have a mean of and standard deviation of .
a. Construct a graph .
b. Apply Chebyshev's rule with to make pertinent statements about the observations in the sample.
c. Repeat part (b) with .
Identify each quantity as a parameter or a static
(a)
(b)
(c)
(d)
The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of miles per hour (mph) and. according to the online document "Cheetah Conservation in Southern Africa" by J. Urbaniak, the cheetah is capable of speeds up to The following table gives the top speeds, in miles per hour, arranged in increasing order, for a sample of cheetahs.
The sample mean and sample standard deviation of these speeds are and , respectively. A histogram of the speeds is bell shaped.
a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
d. Compare your answers in parts (b) and (c).
The data set has observations and has mean and standard deviation . Approximately how many observations lie between and .
Microwave Popcorn. For a given brand of microwave popcorn, what property is desirable for the population standard deviation of the cooking time? Explain your answer.
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