Central Limit Thm

The weights of horses are given by N(1500, 30). What is the probability that a unicorn weighs less than 1530 pounds?

• 15.87%
• 84.13%
• 46.02%
• 12.05%

What happens to the shape of a sampling distribution of sample means as n increases?

• It becomes narrower and bimodal.
• It becomes narrower and more normal.
• It becomes wider and skewed right. 
• It becomes wider and more normal. 

Tags

CCSS.HSS.ID.A.4

Which sample size for a sampling distribution will have the SMALLEST standard deviation?

• n=500
• n = 50
• n = 10
• n = 250

The weights of horses are given by N(1=1500, 30). What is the probability that the average weight of 36 randomly selected unicorns is greater than 1560 pounds? 

• 65.54%
• 97.72%
• 2.28%
• 34.46%

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

• 400
• 40
• 25
• 8

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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

Tags

CCSS.HSS.ID.A.4

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

• 400
• 40
• 25
• 8

A women’s clothing company is doing research on the height of adult American men in order to inform the sizing of the clothing that they offer. The height of males in the United States is normally distributed with a mean of 165 cm and a standard deviation of 15 cm. Men who are more than 30 cm different (shorter or taller) from the mean are classified by the apparel company as special cases because they do not fit in their regular length clothing. Given this information, what proportion of men would be classified as special cases?

• 0.3%
• 5%
• 32%
• 10%

What proportion of the standard normal curve falls below a z score of 1.33? (Rounded to the nearest two decimal places)

• 0.91
• 0.09
• 0.15
• 0.02

 A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years.  The ages are normally distributed. What is the probability that a randomly selected student is older than 16.5 years old?

• 0.864
• 0.879
• 0.121
• None of these

Tags

CCSS.HSS.ID.A.4