The marketing team at beth's butter works decided they preferred the traditional plastic tub packaging, but they wanted a more refined estimate of potential sales. they launched a third test at a regional level across 100 stores. these 100 stores had average daily sales of 140 units with a standard deviation of 50.
calculate the 99%, 95%, and 68% confidence intervals for the average number of units beth's butter works can anticipate to sell. enter your results in the blanks below.
there is a 99% likelihood that they will sell between and units.
there is a 95% likelihood that they will sell between and units.
there is a 68% likelihood that they will sell between and units.

 a) There is a 99% likelihood that they will sell between 127 and 153 units.

b) There is a 95% likelihood that they will sell between 130 and 150 units.

c) There is a 68% likelihood that they will sell between 135 and 145 units.

Step-by-step explanation:

Given : Sample size : n=  100

Sample mean :

Standard deviation :

a) Significance level :

Critical value:

The formula to find the confidence interval is given by :-

i.e.

i.e.

So, There is a 99% likelihood that they will sell between 127 and 153 units.

b) Significance level :

Critical value:

then, 95% confidence interval will be :

i.e.

i.e.

So, There is a 95% likelihood that they will sell between 130 and 150 units.

c) Significance level :

Critical value:

then, 95% confidence interval will be :

i.e.

i.e.

So, There is a 68% likelihood that they will sell between 135 and 145 units.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4