# homework stats

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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/μ​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

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