Normal Distribution and Central Limit Theorem Test Review

Which of the following is true regarding the standard deviation of a standard normal distribution?

• It is always equal to zero.

• It is always equal to one.

• It can be any positive value.

• It can be a positive or a negative value.

Which of the following is true regarding the mean of a standard normal distribution?

• It is always equal to zero.

• It is always equal to one.

• It can be any positive value.

• It can be a positive or a negative value.

Tags

CCSS.6.SP.A.3

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. What is the probability of a player weighing less than 250 pounds?

• 0.4772

• 0.9772

• 0.0228

• 0.5000

Tags

CCSS.HSS.ID.A.4

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. What is the probability of a player weighing more than 250 pounds?

• 0.4772

• 0.9772

• 0.0228

• 0.5000

Tags

CCSS.HSS.ID.A.4

A random sample of 50 observations is to be drawn from a population with a mean of 40 and a standard deviation of 25. What is the probability that the mean of the sample is less than 45?

• 0.4207

• 0.4222

• 0.0793

• 0.9207

Tags

CCSS.HSS.ID.A.4

A random sample of 60 observations is to be drawn from a population with a mean of 30 and a standard deviation of 25. What is the probability that the mean of the sample is less than 35?

• 0.4394

• 0.4406

• 0.0606

• 0.9394

Tags

CCSS.HSS.ID.A.4

Approximately ______________ of the area of a normal curve falls within one standard deviation fo the mean in either direction.

• 68%

• 99.7%

• 34%

• 95%

Tags

CCSS.HSS.ID.A.4

Approximately ____________ of the area of a normal curve falls within three standard deviations of the mean in either direction.

• 68%

• 99.7%

• 34%

• 95%

Tags

CCSS.HSS.ID.A.4

The graph of a normal curve is given. Use the graph to identify the value of $\mu\$   and  $\sigma$  .  

•  $\mu=137\ and\ \sigma\ =\ 6$  

•  $\mu=\ 18\ and\ \sigma\ =\ 137$  

•  $\mu\ =\ 137\ and\ \sigma\ =\ 18$  

•  $\mu\ =\ 6\ and\ \sigma\ =\ 137$  

Tags

CCSS.HSS.ID.A.4

The graph of a normal curve is given. Use the graph to identify the value of $\mu\$ and $\sigma$ .

• $\mu=133;\ \ \sigma\ =\ 7$

• $\mu=\ 14;\ \sigma\ =\ 133$

• $\mu\ =\ 133;\ \ \sigma\ =\ 21$

• $\mu\ =\ 7;\ \sigma\ =\ 133$

Tags

CCSS.HSS.ID.A.4