Finding Standard Deviation from a Sample

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
Calculate the standard deviation of the sampling distribution. 

• 0.0116

• 0.0117

• 0.0118

• 0.0119

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
Calculate the standard deviation of the sampling distribution.  (Check to see if the 10% condition is met first)

• 0.0116

• 0.0117

• 0.0118

• 0.0119

The mean age of a dinosaur fossil in a particular fossil bed is 85 million years. The standard deviation of the fossil ages from this bed is 2.5 million years. At least __________ of fossils in this bed are between 80 and 90 million years old.

• 75 %

• 88.89 %

• 2%

• 70%

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

• 0.53

• 0.41

• 0.35

• 0.22

What is the sample standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 6.89

• 10.1

• 7.26

• 9

What is the sample standard deviation for the data given: 5, 10, 7, 12, 0, 20, 15, 22, 8, 2. Round the mean to whole number.

• 6.89

• 10.1

• 7.26

• 9

What is the sample standard deviation for the data given: {12, 13, 29, 18, 61, 35, 21}

• 293.67

• 15.87

• 17.14

• 41.98

A random sample of 40 bags of Doritos was obtained.

The mean weight was 15.5 oz with a standard deviation of 0.2 oz.

Find the standard deviation of the sample.

A survey was given to a random sample of 120 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 66 respondents said that they preferred Candidate A.

What is the standard deviation of the sampling distribution?