Suppose a 2011 Gallup poll revealed that 76% of Americans believe that high achieving students should be recruited to become teachers. If this poll was taken from a voting district with sample size of 1021 at random, where there are 154,000 residents. Calculate the 95 percent confidence interval.

95% Confidence interval:  (0.73,0.79)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1021

Percentage of Americans believe that high achieving students should be recruited to become teachers

95% Confidence interval:

Putting the values, we get:

Box-plot = {54, 65, 69, 73, 76}

Step-by-step explanation:

The data provided for the number of desks on each floor of Texter Corporate is as follows:

S = {54, 60, 65, 66, 67, 69, 70, 72, 73, 75, 76}

There are a total of n = 11 floors.  

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

Minimum (shown at the bottom of the chart)

First Quartile (shown by the bottom line of the box)

Median (or the second quartile) (shown as a line in the center of the box)

Third Quartile (shown by the top line of the box)

Maximum (shown at the top of the chart).

Arrange the data in ascending order as follows:

S': = {54 , 60 , 65 , 66 , 67 , 69 , 70 , 72 , 73 , 75 , 76}

The minimum value is:

Minimum = 54

The maximum value is:

Maximum = 76

As there are odd number of values the median is the middle value.

Median = 6th value = 69

The first quartile is the median of the first half of the data.

S'₁ = {54 , 60 , 65 , 66 , 67}

First quartile = 3rd value = 65

The third quartile is the median of the second half of the data.

S'₂ = {70 , 72 , 73 , 75 , 76}

Third quartile = 3rd value = 73

Thus, summarized data for the box plot is:

Box-plot = {54, 65, 69, 73, 76}