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Sophia Statistics Milestone 5,
Mrs. Pellegrin has weighed 5 packages of cheese and recorded the weights as 10.2 oz, 10.5 oz, 9.3 oz, 9.8 oz, and 10.0 oz. She calculated the 
standard deviation to be 0.45 oz. 
Select the 95% confidence interval for Mrs. Pellegrin's set of data. 
9.4 to 10.52 
9.53 to 10.39 
9.34 to 10.44 
9.48 to 10.44 
RATIONALE 
In order to get the 95% CI , we first need to find the critical t-score. Using a t-table, we need to find (n-1) degrees of freedom, or (5-1) = 4 df and 
the corresponding CI 
Using ...
- Exam (elaborations)
- • 17 pages •
Mrs. Pellegrin has weighed 5 packages of cheese and recorded the weights as 10.2 oz, 10.5 oz, 9.3 oz, 9.8 oz, and 10.0 oz. She calculated the 
standard deviation to be 0.45 oz. 
Select the 95% confidence interval for Mrs. Pellegrin's set of data. 
9.4 to 10.52 
9.53 to 10.39 
9.34 to 10.44 
9.48 to 10.44 
RATIONALE 
In order to get the 95% CI , we first need to find the critical t-score. Using a t-table, we need to find (n-1) degrees of freedom, or (5-1) = 4 df and 
the corresponding CI 
Using ...
Sophia Statistics Milestones Test_Combined Final
In which of these cases should the median be used? 
When the data has small variance 
When data has no outliers 
When the data has extreme values 
When the data has nominal values 
RATIONALE 
Since the mean uses the actual values in the data, it is most affected by outliers and skewness. So, we only want to use the mean when the data is symmetric as a measure 
of centrality. When the data is skewed or has extreme values, 
the median is a better measure since it is not as sensitive to these value...
- Exam (elaborations)
- • 104 pages •
In which of these cases should the median be used? 
When the data has small variance 
When data has no outliers 
When the data has extreme values 
When the data has nominal values 
RATIONALE 
Since the mean uses the actual values in the data, it is most affected by outliers and skewness. So, we only want to use the mean when the data is symmetric as a measure 
of centrality. When the data is skewed or has extreme values, 
the median is a better measure since it is not as sensitive to these value...
Sophia Statistics Unit 1 Milestone 1,
research team conducts a survey to determine the area of land used for farming in Iowa. The team randomly selects house addresses and sends the survey by mail. 
Which type of sampling method is the research team using? 
Systematic random sampling 
Cluster sampling 
Multi-stage sampling 
Simple random sampling 
RATIONALE 
By choosing randomly from the house addresses all households should have an equal chance of being chosen. This would make it a simple random sample. 
CONCEPT 
Simple Random and ...
- Exam (elaborations)
- • 7 pages •
research team conducts a survey to determine the area of land used for farming in Iowa. The team randomly selects house addresses and sends the survey by mail. 
Which type of sampling method is the research team using? 
Systematic random sampling 
Cluster sampling 
Multi-stage sampling 
Simple random sampling 
RATIONALE 
By choosing randomly from the house addresses all households should have an equal chance of being chosen. This would make it a simple random sample. 
CONCEPT 
Simple Random and ...
Sophia Statistics Unit 1 Milestone 1 Exam
An art teacher is trying to determine which class to offer next summer. She passes out a 
slip of paper to some of the students in the class asking them whether or not they liked her course, and what class they would most like to see offered in the summer. 
Which type of statistical study is the art teacher conducting? 
• 
A single-blind study 
• 
A double-blind study 
• 
A survey 
• 
A census 
2 
A shoe retailer decides to record the styles and sizes of shoes that his customers choose. ...
- Exam (elaborations)
- • 14 pages •
An art teacher is trying to determine which class to offer next summer. She passes out a 
slip of paper to some of the students in the class asking them whether or not they liked her course, and what class they would most like to see offered in the summer. 
Which type of statistical study is the art teacher conducting? 
• 
A single-blind study 
• 
A double-blind study 
• 
A survey 
• 
A census 
2 
A shoe retailer decides to record the styles and sizes of shoes that his customers choose. ...
Sophia Statistics Unit 1 Milestone 1,.
Jenae's study ignored the fact that only some of her coffee choices had caffeine, even though her co-workers preferred caffeinated coffee. Therefore, Jenae decided to label one 
type of decaffeinated coffee as having caffeine to see what would happen. 
As she anticipated, this coffee became more popular with her co-workers, and they claimed that the extra boost of caffeine helped them focus on their work. 
The growing popularity of the decaffeinated coffee among co-workers, under the false impr...
- Exam (elaborations)
- • 16 pages •
Jenae's study ignored the fact that only some of her coffee choices had caffeine, even though her co-workers preferred caffeinated coffee. Therefore, Jenae decided to label one 
type of decaffeinated coffee as having caffeine to see what would happen. 
As she anticipated, this coffee became more popular with her co-workers, and they claimed that the extra boost of caffeine helped them focus on their work. 
The growing popularity of the decaffeinated coffee among co-workers, under the false impr...
Sophia Statistics Unit 1 Milestone 1
the sum of squares for a sample containing 51 items equals 200, what is the standard deviation? 
• 
2.00 
• 
3.92 
• 
4.00 
• 
1.98 
RATIONALE 
The standard deviation is found by dividing the sum of squares by (n-1) and taking the square root so here it would be: 
CONCEPT 
Calculating Standard Deviation and Variance 
2 
Michael checked several car dealerships around town for the make and model he wanted to purchase. He received eight different quotes: 
$27,345 $26,780 $27,345 $29,785...
- Exam (elaborations)
- • 19 pages •
the sum of squares for a sample containing 51 items equals 200, what is the standard deviation? 
• 
2.00 
• 
3.92 
• 
4.00 
• 
1.98 
RATIONALE 
The standard deviation is found by dividing the sum of squares by (n-1) and taking the square root so here it would be: 
CONCEPT 
Calculating Standard Deviation and Variance 
2 
Michael checked several car dealerships around town for the make and model he wanted to purchase. He received eight different quotes: 
$27,345 $26,780 $27,345 $29,785...
Sophia Statistics Unit 1 Milestone,.
Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, 
regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not 
really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. 
Select one control in Jenae's experimental study. 
Jenae places condiments at random places throughout the kitchen. 
Jenae makes sure that the coffee in different pot...
- Exam (elaborations)
- • 20 pages •
Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, 
regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not 
really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. 
Select one control in Jenae's experimental study. 
Jenae places condiments at random places throughout the kitchen. 
Jenae makes sure that the coffee in different pot...
Sophia Statistics Unit 1 Milestone
Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, 
regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not 
really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. 
Select one control in Jenae's experimental study. 
Jenae places condiments at random places throughout the kitchen. 
Jenae makes sure that the coffee in different pot...
- Exam (elaborations)
- • 20 pages •
Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, 
regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not 
really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. 
Select one control in Jenae's experimental study. 
Jenae places condiments at random places throughout the kitchen. 
Jenae makes sure that the coffee in different pot...
Sophia Statistics Unit 2 Challenge 1
The following table shows the types of homes in which residents were living in 2010. 
2010 Housing Data 
Type of Home Frequency 
Single-Family Detached 1748 
Single-Family Attached 442 
Small Apartment Building 1247 
Large Apartment Building 1056 
Mobile Home 173 
Other 134 
To accurately display the mobile home category on a pie chart, an angle that is approximately ________ would need to be created. 
 a.) 
13 degrees 
 b.) 
79 degrees 
 c.) 
131 degrees 
 d.) 
94 degrees 
The follo...
- Exam (elaborations)
- • 11 pages •
The following table shows the types of homes in which residents were living in 2010. 
2010 Housing Data 
Type of Home Frequency 
Single-Family Detached 1748 
Single-Family Attached 442 
Small Apartment Building 1247 
Large Apartment Building 1056 
Mobile Home 173 
Other 134 
To accurately display the mobile home category on a pie chart, an angle that is approximately ________ would need to be created. 
 a.) 
13 degrees 
 b.) 
79 degrees 
 c.) 
131 degrees 
 d.) 
94 degrees 
The follo...
Sophia Statistics Unit 2 Milestone 2,.
Which of the following statements about a normal distribution is true? 
 
A large portion of the data is skewed to the right. 
 
A large portion of the data is located near the tails. 
 
The normal distribution is an example of a bimodal distribution. 
 
The normal distribution is single-peaked and symmetric. 
2 
The manager went over the sales of mobile phones at the store and found that the mean sale was 45, with a standard deviation of 4. On a particular day, 52 mobile phones were...
- Exam (elaborations)
- • 15 pages •
Which of the following statements about a normal distribution is true? 
 
A large portion of the data is skewed to the right. 
 
A large portion of the data is located near the tails. 
 
The normal distribution is an example of a bimodal distribution. 
 
The normal distribution is single-peaked and symmetric. 
2 
The manager went over the sales of mobile phones at the store and found that the mean sale was 45, with a standard deviation of 4. On a particular day, 52 mobile phones were...