Chapter 3.1, Problem 35E

(a)

To determine

To calculate the mean and median for 2007 − 2008.

Answer to Problem 35E

The mean and median ratings for $2007-2008\text{ are 10}\text{.760}$ and $10,050$, respectively.

Explanation of Solution

Given information:

Top Rated TV Programs: $2007-2008$
American Idol $-$ Tuesday	$16.1$
American Idol $-$ Wednesday	$15.9$
Dancing With the Stars $-$ Monday $\left(2007\right)$	$14.0$
Dancing With the Stars $-$ Tuesday $\left(2007\right)$	$12.7$
Dancing With the Stars $-$ Monday $\left(2008\right)$	$12.6$
Dancing With the Stars $-$ Tuesday $\left(2008\right)$	$11.8$
Desperate Housewives	$11.6$
CSI	$10.6$
House $-$ Tuesday	$10.5$
Grey’s Anatomy	$10.4$
Sunday Night Football	$9.7$
CSI: Miami	$9.2$
House $-$ Monday	$9.2$
NCIS	$9.2$
Survivor: China	$9.0$
Without a Trace	$8.8$
The Moment of Truth	$8.8$
Two and a Half Men	$8.5$
$60$ Minutes	$8.4$
Criminal Minds	$8.2$

Calculation:

MINITAB procedure:

Step $1:$ Choose Stat $>$ Basic Statistics $>$ Display Descriptive Statistics.

Step $2:$ In Variables enter the columns rating.

Step $3:$ Click OK.

MINITAB output:

Descriptive Statistics: Rating

$\begin{array}{l}\text{Variable Mean Median}\\ \text{Rating 10}\text{.760 10}\text{.050}\end{array}$

From the above MINITAB output, the mean and median ratings for $\text{2007}-\text{2008 are 10}\text{.76}$ and $10.050$, respectively.

(b)

To determine

To calculate the mean and median ratings for $2012-2013$.

Answer to Problem 35E

The mean and median ratings for $2012-2013\text{are}4.350\text{ and 4}\text{.050}$, respectively.

Explanation of Solution

Given;

Top Rated TV Programs: $2012-2013$
NBC Sunday Night Football	$7.9$
Big Bang Theory	$6.2$
The Voice	$5.1$
Modern Family	$4.9$
The Voice $-$ Tuesday	$4.6$
American Idol $-$ Wednesday	$4.6$
American Idol $-$ Thursday	$4.3$
The Following	$4.3$
Two and a Half Men	$4.1$
Grey’s Anatomy	$4.1$
NCIS	$4.0$
Football Night in America Part $3$	$4.0$
Revolution	$3.9$
$2$ Broke Girls	$3.7$
How I Met Your Mother	$3.7$
Family Guy	$3.6$
Once Upon a Time	$3.6$
Survivor: Philippines	$3.5$
X-Factor $-$ Wednesday	$3.5$
NCIS: LA	$3.4$

Calculation:

MINITAB procedure:

Step $1:$ Choose Stat $>$ Basic Statistics $>$ Display Descriptive Statistics.

Step $2:$ In Variables enter the columns rating.

Step $3:$ Click OK.

MINITAB output:

Descriptive Statistics: Rating

$\begin{array}{l}\text{Variable Mean Median}\\ \text{Rating 4}\text{.350 4}\text{.050}\end{array}$

From the above MINITAB output, the mean and median ratings for $2012-2013\text{ are 4}\text{.350}$ and $\text{4}\text{.050}$, respectively.

(c)

To determine

To explain whether there is reduction in ratings or not over the time period.

Answer to Problem 35E

Yes, the results of parts (a) and (b) support the claim that “Since $2008$, video streaming through companies such as Netilix has become more popular. Some median experts believe that this has resulted in a reduction in the ratings”.

Explanation of Solution

Calculation:

From the above results, the mean and median ratings for $2007-2008\text{ and 2012}-2013$ are tabulated below.

Year	Mean	Median
$2007-2008$	$10.760$	$10.050$
$2012-2013$	$4.350$	$4.050$
Difference	$28.8$	$23.4$

From the above table, it is clear that the mean and median rating for $2007-2008$ is higher when compared to the mean and median ratings for $2012-2013$.