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Chapter 7: Q.13 (page 428)
Find the sum that is one standard deviation above the mean of the sums.
The required sum is.
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An unknown distribution has a mean of and a standard deviation of . A sample size of is drawn randomly from the population.
Find the probability that the sum of the values is less than .
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about and a standard deviation of about ten. Suppose that individuals are randomly chosen. Let role="math" localid="1648361500255" average percent of fat calories.
a. _____ (______, ______)
b. For the group of , find the probability that the average percent of fat calories consumed is more than five. Graph the situation and shade in the area to be determined.
c. Find the first quartile for the average percent of fat calories.
The distribution of income in some Third World countries is considered wedge shaped (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a wedge shaped distribution. Let the average salary be per year with a standard deviation of . We randomly survey residents of that country.
a. In words,
b. In words,
c.
d. How is it possible for the standard deviation to be greater than the average?
e. Why is it more likely that the average of the residents will be from to than from ?
Previously, De Anza statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of . Suppose that we randomly pick daytime statistics students.
a. In words,
b.
c.role="math" localid="1651578876947"
d.
e. Find the probability that an individual had between . Graph the situation, and shade in the area to be determined.
f. Find the probability that the average of the 25 students was between . Graph the situation, and shade in the area to be determined.
g. Explain why there is a difference in part e and part f.
Men have an average weight of pounds with a standard deviation of pounds.
a. Find the probability that randomly selected men will have a sum weight greater than lbs.
b. If men have a sum weight greater than lbs, then their total weight exceeds the safety limits for water taxis. Based on (a), is this a safety concern? Explain.
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