below contains the average SAT scores for 10 states for the years
1988 and 2005.
31. Data on annual rainfall, maximum daily temperature, percentage
of planet cover, and number of anti species recorded at each of 11
study sites are given in the accompanying table. Complete parts a
through c.
32. Determine whether the random variable is discrete or continuous.
33. The random variable x has the following discrete probability
distribution. Complete parts a through f.
34. X intercept, y intercept
35. If x is a binomial random variable, compute p(x) for each of the
cases below.
36. According to a business magazine, 30% all small businesses
owned by non-Hispanic whites nationwide are women-owned firms.
37. According to a certain golf association, the weight of the golf ball
ball shall not be greater than 1.620 ounces (45.93 grams). The
velocity of the ball shall not be greater than 250 feet per second. The
golf association periodically checks the specifications of golf balls
using sampling. Five dozen of each kind are sampled, and if more
than three do not meet size or velocity requirements, that kind of ball
is removed from the golf association’s approved list. Complete parts a
and b.
38. Find the area under the standard normal probability distribution
between the following pairs of z-scores.
39. Suppose the random variable x is the best described by a normal
distribution with µ = 32 and = 5. Find the z-score that corresponds to
each of the following x-values.
40. The mean gas mileage for a hybrid car is 56 miles per gallon.
Suppose that the gasoline mileage is approximately normally
distributed with a standard deviation of 3.2 miles per gallon.
41. Personnel tests are designed to test a job applicant’s cognitive
and/or physical abilities. A particular dexterity test is administered
nationwide by a private testing service. It is known that for all tests
administered last year, the distribution of scores was approximately
normal with mean 76 and standard deviation 7.8.
42. Determine evidence to support or contradict the assumption that
the data to the right come from an approximately normal distribution.