# 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/μL.)

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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- Statistics.docx