Kim earns $12.80 for every t-shirt she sells for the school fundraiser. The equation 12.8t = m represents the total amount, m, Kim raises for each t shirt she sells. Determine the independent and dependent variable in the scenario and create a table of values with at least 5 ordered pairs that represent the scenario. Independent Variable:
Dependent Variable:

The price of each t-shirt is independent from the total but the total amount depends on the number of t-shirts sold, hence:

Independent variable = tDependent variable = m

The ordered pairs:

t = 1 ⇒ m = 12.8*1 = 12.8 ⇒ (1, 12.8)t = 2 ⇒ m = 12.8*2 = 25.6 ⇒ (2, 25.6)t = 3 ⇒ m = 12.8*3 = 38.4 ⇒ (3, 38.4)t = 4 ⇒ m = 12.8*4 = 51.2 ⇒ (4, 51.2)t = 5 ⇒ m = 12.8*5 = 64 ⇒ (5, 64)

 

 

And the 90% confidence interval would be given (0.454;0.510).  

B. 0.4542 to 0.5105.

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

The estimated proportion of residents in the community that support the property tax levis is given by:

The confidence interval for a proportion is given by this formula  

 

For the 90% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.  

 

And replacing into the confidence interval formula we got:  

 

 

And the 90% confidence interval would be given (0.4542;0.5105)

B. 0.4542 to 0.5105.