Mean and Standard Deviation of Sampling Distributions

The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

• 63.5

• 67

• 70.5

• 74

Tags

CCSS.6.SP.A.3

The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the standard error of the resulting sampling distribution of sample means?

• 0.52

• 0.43

• 0.34

• 0.25

A population has a mean of 60 and a standard deviation of 5. A random sample of 16 measurements is drawn from this population. Describe the sampling distribution of the sample means by computing its mean. Assume that the population is infinite.

• 60

• 65

• 70

• 75

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

A population has a mean of 60 and a standard deviation of 5. A random sample of 16 measurements is drawn from this population. Describe the sampling distribution of the sample means by computing its standard deviation. Assume that the population is infinite.

• 5.00

• 3.75

• 2.50

• 1.25

The 300 customers who called the call centre spend an average of 45 minutes on hold, with a standard deviation of 12 minutes. What is the expected average of the sampling distribution for a sample of 150 randomly selected customers?

• 33

• 45

• 57

• 69

The 300 customers who called the call centre spend an average of 45 minutes on hold, with a standard deviation of 12 minutes. What is the standard error of the sampling distribution for a sample of 150 randomly selected customers?

• 0.70

• 0.69

• 0.58

• 0.49

The heights female college students are normally distributed with mean of 68 inches and standard deviation of 3 inches. If 25 students are randomly drawn from the population, what would be the expected mean of the resulting sampling distribution of the means?

• 68

• 59

• 40

• 31

The heights female college students are normally distributed with mean of 68 inches and standard deviation of 3 inches. If 25 students are randomly drawn from the population, what would be the standard error of the resulting sampling distribution of the means?

• 0.8

• 0.7

• 0.6

• 0.5

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the mean of the resulting sampling distribution?

• 1.9

• 1.8

• 1.7

• 1.6

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

• 0.56

• 0.41

• 0.34

• 0.22