sampling distribution

According to a television commercial, 3 out of 4 dentists recommend Trident gum for patients who have dental work. A consumer magazine has surveyed 100 dentists to see if this claim is true.

Which is closest to the probability that between 70 and 74 percent of the dentists recommend Trident?

• .9238

• .2846

• -.2846

• .0762

Tags

CCSS.HSS.ID.A.4

A sampling distribution for proportions is guaranteed to be normal if ...

• n ≥ 30

• the population is normal

• either np or n(1-p) is ≥ 30

• np and n(1-p) are both ≥ 10

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. A school district has 180 incoming kindergarten children.

Which of the following is true concerning the shape of the sampling distribution?

• The sampling distribution is normal because n > 30

• The sampling distribution is not normal because nq is < 30

• The sampling distribution is normal because 10% of 180 is > 10

• The sampling distribution is normal because np and nq are both > 10

A realtor has been told that 43% of homeowners in a city prefer to have a finished basement. She surveys a group of 300 homeowners randomly chosen from her client list. Describe the sampling distribution model of the proportion of homeowners in this sample who prefer a finished basement.

• mean = 43%; standard deviation = 1.4%

• mean = 57%; standard deviation = 2.9%

• mean = 57%; standard deviation = 1.4%

• mean = 43%; standard deviation = 2.9%

• There is not enough information to describe the distribution.

A distribution showing the sample means of all sample of size n of a population is called

• Normal Distribution
• Binomial Distribution
• Sampling Distribution
• Uniform Distribution

Tags

CCSS.6.SP.A.3

The mean of the sampling distribution is the same as the mean of the population.

• True

• False