Central limit theorem for Mean (Averages)- Practice quiz

What is the relationship between the mean of the population and the mean of the sampling distribution of the sample means?

• the mean of the population is greater than the mean of the sampling distribution of the sample means.

• the mean of the population is lesser than the mean of the sampling distribution of the sample means.

• the mean of the population is equal to the mean of the sampling distribution of the sample means.

• the mean of the population is not equal to the mean of the sampling distribution of the sample means.

Tags

CCSS.6.SP.A.2

What have you observed with the histogram of the sampling distribution of the sample mean?

• The histogram is skewed to the left, regardless of the shape of the population.

• It will tend to have an abnormal distribution, regardless of the shape of the population.

• The bar in the histogram will be equally distributed

• It will tend to have a normal distribution, regardless of the shape of the population.

• 50

• 25

• 20

• 5

• 5

• 0.91

• 0.71

• 0

The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find the mean of the sampling distribution of the sample mean of the residents’ ages.

• 150 000

• 2 000

• 15.3

• 56.12

The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find the standard deviation of the sampling distribution of the sample mean of the residents’ ages.

• 150 000

• 0.34

• 0.5

• 56.12

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. 
What is the standard error of the sampling distribution?

• 400
• 40
• 25
• 8

The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons.  What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?

• .0057
• .025
• .345
• .781

Tags

CCSS.HSS.ID.A.4

Researches found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season.  What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360?

• .236
• .429
• .571
• .614

Tags

CCSS.HSS.ID.A.4

Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours.  What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?

• .430
• .148
• .281
• .087

Tags

CCSS.HSS.ID.A.4