Parameter Change to Mean and Standard Deviation

Calculate μ_x-bar and σ_x-bar if μ = 794, σ = 48, and n = 64

• μ_x-bar = 794, σ_x-bar = 0.75

• μ_x-bar = 12.4, σ_x-bar = 0.75

• μ_x-bar =794, σ_x-bar = 6

• μ_x-bar = 99.25, σ_x-bar = 6

Scares of the math part of the SAT in a recent year followed a normal distribution with a mean 515 and a standard deviation 114. You choose an SRS of 100 students and calculate the mean SAT Math score. Which of the following are the mean and standard deviation of the sampling distribution of x̄?

• Mean = 515, SD = 114

• Mean = 515, SD = 114/√100

• Mean = 515/100, SD = 114/100

• Mean = 515/100, SD = 114/√100

The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?

• -1.05

• .146

• .020

• .853

The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for snowstorms of note in Utica, New York, over a four-year period are as follows: 7.1, 9.2, 8.0, 6.1, 14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6 What are the mean and SAMPLE standard deviation for these data, to the nearest hundredth?

• mean = 9.46; standard deviation = 3.74

• mean = 9.46; standard deviation = 3.85

• mean = 9.45; standard deviation = 3.74

• mean = 9.45; standard deviation = 3.85

If test scores for a class are: 100, 100, 90, 90, 80, 80, 70, 70, 60, and 60, what are the mean and sample standard deviation?

• mean = 80, stdev = 14.9

• mean = 70, stdev = 14.9

• mean = 80, stdev = 13.9

• mean = 80, stdev = 12.9

• mean = 85, stdev = 14.9

What is the sample standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 6.89

• 10.1

• 7.26

• 9

All of the below sets have the same mean.

Set 1-Standard Deviation=3.1

Set 2-Standard Deviation=4.9

Set 3-Standard Deviation=1.7

Set 4-Standard Deviation=3.2

Which set of data probably has the points closest to the mean?

• 1

• 2

• 3

• 4

Which data set has the largest standard deviation?

• Set 1

• Set 2

• Set 3

• Set 4

What is the sample standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

• 293.67

• 15.87

• 17.14

• 41.98

To find the _________ you add up all the numbers and then divide by how many numbers you have.

• Mean

• Median

• Mode

• Range