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Suppose that you took a survey of 2500 voting age adults. One of these questions was a feeling thermometer for President Biden. Also, suppose that

Suppose that you took a survey of 2500 voting age adults. One of these questions was a feeling thermometer for President Biden. Also, suppose that you know that the true standard deviation is equal to 15. What is the standard error of Biden's feeling thermometer?

a.

5

b.

0.006

c.

15

d.

0.3

QUESTION 2

Given the information in Question 1, suppose that you found the sample mean of this survey for Biden's feeling thermometer is 55. What is the 95% confidence interval for the mean of Biden's feeling thermometer.

a.

In between 40 and 70.

b.

In between 54.7 and 55.3.

c.

In between 54.412 and 55.588

d.

In between 0 and 100.

QUESTION 3

Take the scenario in Question 1 above but now suppose that, instead of you knowing that =15, you actually do not know the value of . But you did take the sample mean and found that it was s=16. You can safely substitute s for to calculate the standard error.

True

False

QUESTION 4

Suppose that in this very same survey of 2500 adults, which was take in October of 2020, you asked them if they planned on voting for Trump or Biden. Suppose that you found 1300 people were voting for Biden and 1200 were voting for Trump. What is the standard error of this proportion (rounded to the nearest fifth decimal)?

a.

0.52000

b.

0.30000

c.

0.00999

d.

0.13000

QUESTION 5

Given the information of the previous question, what is the 95% confidence interval for the proportion of people voting for Biden?

a.

In between 0.45 and 0.59

b.

In between 0.46938 and 0.570498.

c.

In between 0.42 and 0.62.

d.

In between 0.5004157 and 0.5395843

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