Answer:
The minimum sample size that can be taken is of 14 dogs.
Step-by-step explanation:
The formula for calculating the minimum sample size to estimate a population mean is given by:
The <u>first step</u> is obtaining the values we're going to use to replace in the formula.
Since we want to be 95% confident, 
.
Therefore we look for the critical value 
.
Then we calculate the variance:
And we have that:
<u>Now</u> we replace in the formula with the values we've just obtained:
Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.
Answer:
65% of the beads were used to make the bracelet.
Step-by-step explanation:
40% of the beads were blue which means 60% of the beads were red. If all the blue beads were used that means 40% was used so you add the 25% of the red beads that were used which is why the answer is 65%.
Remember that the difference between census and a sample survey is that in a census you take all the people of population in consideration in the study, and in the sample survey you take a part of that population in consideration to survey.
SO here if you check the problem it says that "in a recent poll, Pew reserchers found that 47% OF AMERICAN ADULT RESPONDENTS"
that is the population of the study that you want to focus, but there are a billion of american adult in US right? so its impossible that this company Pow Research made a census if you consider that a billion of people in US is almost infinite number for a company with a finite number of employees.
Also remember that a company has a budget to consider every month or every year, so to make a census or a sample survey it takes time and money, just to survey 10 people in a streeth of US cost money so if you want to reduce cost you might need to do a sample survey instead of a census.
