BUS 204 Week 3 Assignment

BUS 204 Week  3  Assignment  | MiraCosta College

1.What company was named in the Empirical Rule example in the lecture video?

A.Lime

B.Uber

C.Bird 

D.Lyft

2.

A random sample of 15 articles in a magazine revealed the following word counts per article.

4,295     5,374     5,683     4,768     4,891    

5,067     5,226     4,658     5,205     4,575    

4,043     6,068     5,327     4,835     4,898    

Compute the mean, median, first quartile, and third quartile for these sample data.

The mean is

The median is

The first quartile is

 The third quartile is

3.

A landscaping company provides yard care services for customers. The company owner tracked the time his employees spent at a sample of customer locations. The following sample data, in minutes, were recorded.

24           42           25           39           25           35           48           27           17           30          

25           18           30           29           46           23           28           26           44           26          

Describe the central tendency of these data by computing the mean, median, and mode. Based on these measures, can you conclude that the distribution of time spent at customer locations is skewed or symmetric?

The mean is

The median is

The mode is

Determine whether the distribution of time is skewed or symmetric.

The distribution is

skewed.

4.

A commercial real estate company owns six office buildings that it leases to businesses. The lease price per square foot differs by building due to location and building amenities. Currently, all six buildings are fully leased at the prices shown here. Complete parts a and b below.

                Building 1             Building 2             Building 3             Building 4             Building 5             Building 6            

Price per Square Foot    $75

$85

$70

$55

$65

$120

Number of Square Feet                125,000 37,500   77,500   35,000   60,000   140,000

a. Compute the weighted average (mean) price per square foot for these buildings.

The weighted mean is

b. Why is the weighted average (mean) price per square foot preferred to a simple average price per square foot in this case?

A.

The weighted average takes into account the numbers of square feet and finds the average price per square foot instead of the average price per building.

B.

The weighted average takes into account both the mean and the median of the data, instead of only providing the simpler measure of only the mean.

C.

The weighted average takes into account the variation in the data instead of only providing a measure of central tendency.

D.

The weighted average takes into account the numbers of square feet and is a more reasonable measure of the average price than would be an un-weighted average.

5.

The data set below shows the number of alcoholic drinks that students at a certain university reported they had consumed in the past month. Complete parts a through c.

a. Assume that the data set is a sample. Compute the range, variance, standard deviation, and interquartile range for the data set.

The range for the data set is

 66.

(Type an integer or a decimal.)

The sample variance,

s2,

is

The sample standard deviation, s, is

The interquartile range for the data set is

 22.

(Type an integer or a decimal.)

b. Assume the data set is a population. Calculate the range, variance, standard deviation, and interquartile range for the data set.

The range is

 66.

(Type an integer or a decimal.)

The population variance,

6.

The mean time that a certain model of light bulb will last is

700

hours, with a standard deviation equal to

50

hours.

a. Calculate the standardized value for a light bulb that lasts

800

hours.

b. Assuming that the distribution of hours that light bulbs last is bell-shaped, what percentage of bulbs could be expected to last longer than

800

hours?

a. The standardized value for a light bulb that lasts

800

hours is

 22.

(Type an integer or decimal rounded to two decimal places as needed.)

b. Assuming that the distribution of hours that light bulbs last is bell-shaped, the percentage of bulbs that could be expected to last longer than

800

hours is

 2.52.5%.

(Type an integer or decimal rounded to one decimal place as needed.)

7.

Two distributions of data are being analyzed. Distribution A has a mean of

375

and a standard deviation equal to

150.

Distribution B has a mean of

30

and a standard deviation equal to

6.0.

Based on this information, use the coefficient of variation to determine which distribution has greater relative variation.

Choose the correct answer below.

A.Distribution A has greater relative variation since its coefficient of variation is less than distribution B's.

B.Distribution

A has greater relative variation since its coefficient of variation is greater than distribution

B's.

C.Distribution B has greater relative variation since its coefficient of variation is less than distribution A's.

D.Distribution

B has greater relative variation since its coefficient of variation is greater than distribution

A's.