text #4, page 148
A specialty foods company sells "gourmet hams" by
mail order. The hams vary in size from 4.15 to 7.45
pounds, with a mean weight of 6 pounds and standard
deviation of 0.65 pounds. The quartiles and median
weights are 5.6, 6.2, and 6.55 pounds.
a) Find the range and the IQR of the weights.
b) Do you think the distribution of the weights is
symmetric or skewed? If skewed, which way? Why?
text #4, page 148
A specialty foods company sells "gourmet hams" by
mail order. The hams vary in size from 4.15 to 7.45
pounds, with a mean weight of 6 pounds and standard
deviation of 0.65 pounds. The quartiles and median
weights are 5.6, 6.2, and 6.55 pounds.
c) If these weights were expressed in ounces (1 pound
is 16 ounces) what would the mean, standard deviation,
quartiles, median, IQR, and range be?
text #4, page 148
d) When the company ships these hams, the box and packing
materials add 30 ounces. What are the mean, standard
deviation, quartiles, median, IQR, and range of weights of
boxes shipped (in ounces)?
e) One customer made a special order of a 10-pound ham.
Which of the summary statistics of part d might NOT change if
that data value were added to the distribution?
text #4, page 148
A specialty foods company sells "gourmet hams" by mail
order. The hams vary in size from 4.15 to 7.45 pounds, with
a mean weight of 6 pounds and standard deviation of 0.65
pounds. The quartiles and median weights are 5.6, 6.2, and
6.55 pounds.
e) One customer made a special order of a 10-pound ham.
Which of the summary statistics of part d might NOT
change if that data value were added to the distribution?
text #6, page 148
A high school senior uses the Internet to get
information on February temperatures in the town
where he'll be going to college. He finds a web site
with some statistics, but they are given in degrees
Celsius. The conversion formula is F = 9C/5 + 32.
Determine the Fahrenheit equivalents for these
statistics:
Q4
= 11 C
Range = 33 C
Mean = 1 C
Std dev = 7C
Median = 2 C
IQR
= 16 C
text #10, page 148
Cars currently sold in the United States have an average of
135 horsepower, with a standard deviation of 40
horsepower. What's the z-score for a car with 195
horsepower?
text #12, page 148
People with z-scores greater than 2.5 on an IQ test are
sometimes classified as geniuses. If IQ test scores have a
mean of 100 and a standard deviation of 16 points, what
IQ score do you need to be considered a genius?
text #39, page 151
What percent of a standard Normal model is found in each
region? Be sure to draw a picture.
a) z > 15
b) z < 2.25
c) -1 < z < 1.15
d) |z| < 1.28