In: Statistics and Probability
A pollster claims that the mean amount spent on Christmas gifts
by an American family is
$930 with a standard deviation of $180. What is the probability
that the mean amount spent on
Christmas gifts for a sample of 500 families is between $910 and
$970?
In one city, 85% of eligible voters are registered to vote. If
425 randomly selected
eligible voters are surveyed, what is the probability that at least
82% of those selected are
registered to vote?
A sample of 26 different payroll departments found that the
employees worked an
average of 309.7 days a year with a standard deviation of 24.8
days. What is the 99%
confidence interval for the average days worked for all payroll
departments?
Out of 180 randomly selected adults in the United States who
were surveyed, 74 exercise on a regular basis. Construct a 98%
confidence interval for the proportion of all
adults in the United States.
A study of elephants wishes to determine the average weight of a
certain subspecies of
elephants. The standard deviation of the population is 1100 pounds.
How many elephants
need to be weighed so that we can be 95% confident to be accurate
within 130 pounds?