Sampling Distributions Means and Proportions

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

• 200
• 16
• 25
• 4

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

• The Population
• The Sample
• The Sampling Distribution

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

• The Population
• The Sample
• The Sampling Distribution

28% of all Steele students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What is the probability of getting a sample of size 50 that has 15 or more students who believe Monday will be a snow day? 

• 0.376
• Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal
• 0.624
• 0.99999

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. 
What is the mean of the sampling distribution of p-hat?

• 0.4
• 0.44
• 0.56
• 0.6

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

At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

•  78% is a population and 72% is a sample.
• 72% is a population and 78% is a sample
• 78% is a parameter and 72% is a statistic
• 72% is a parameter and 78% is a statistic

What does this symbol represent?

• population proportion
• parameter
• sample proportion
• population sample

The sampling distribution of a statistic is...

• Using repeated samples and finding a probabilitity
• The distribution of values taken by a statistic in all possible samples of the same sample size from the same population
• The way that sample results differe from each other
• the distribution of values in a sample of size n

A statistic is biased if...

• the value of the statistic from any sample is NOT equal to the parameter
• The value of the statistic from any sample IS equal to the parameter
• The mean of the sampling distribution is NOT equal to the true value of the parameter
• The mean of the sampling distribution IS equal to the vali