The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.8
and a standard deviation of 65.5.
(All units are 1000 cells/L.)
Using the empirical rule, find each approximate percentage below.
a.What is the approximate percentage of women with platelet counts within 1
standard deviation
of the mean, or between 185.3
and 316.3?
b.What is the approximate percentage of women with platelet counts between 54.3
and 447.3?
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.7
Mbps. The complete list of 50 data speeds has a mean of x=16.65
Mbps and a standard deviation of s=34.84
Mbps.
a. What is the difference between carrier’s highest data speed and the mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the carrier’s highest data speed to a z score.
d. If we consider data speeds that convert to z scores between 2
and 2 to be neither significantly low nor significantly high, is the carrier’s highest data speed significant?
Use z scores to compare the given values.
Based on sample data, newborn males have weights with a mean of 3227.7g and a standard deviation of 581.8 g. Newborn females have weights with a mean of 3007.4 g and a standard deviation of 578.4 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g?
Since the z score for the male is z=
and the z score for the female is z=,
Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 11.1
Mbps.
0.10.20.20.30.30.40.40.50.50.5 0.70.80.80.80.91.11.11.31.61.92.22.62.62.72.83.13.33.54.35.15.66.68.78.79.210.911.111.311.812.913.313.313.513.614.615.315.415.515.628.1
Percentile of 11.1=
Use the following cell phone airport data speeds (Mbps) from a particular network. Find Q1.
0.20.20.20.40.40.40.40.40.60.6 0.70.70.80.80.90.90.91.31.41.61.71.92.12.52.72.72.83.33.33.73.83.84.74.84.95.27.78.78.99.410.311.713.213.414.314.814.915.215.727.1
Q1=
Use the following cell phone airport data speeds (Mbps) from a particular network. Find P60.
0.10.20.20.30.40.40.50.60.60.7 0.70.70.70.90.90.91.11.61.81.91.92.22.42.52.52.93.73.73.94.24.95.96.26.28.38.78.98.99.49.610.111.811.913.213.413.614.115.615.925.2
P60=
The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the 5-number summary.
2.02.53.03.54.54.55.55.55.55.55.56.07.07.07.07.08.08.59.09.0
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11
cell phones. Use the given data to construct a boxplot and identify the 5-number summary.
1.130.740.750.591.491.230.841.021.460.510.64
