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Sophia Statistics Unit 2 Milestone,.
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 sold. 
What is the z-score of the sale of mobile phones on that day? 
-28 
28 
1.75 
-1.75 
RATIONALE 
Recall that the z-score can be calculated with the following formula: 
The given value is 52 phones, the mean is 45 phones, and the standard deviation is 4 phones. Plug these values 
in to get the following z-score: 
This ...
- Exam (elaborations)
- • 23 pages •
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 sold. 
What is the z-score of the sale of mobile phones on that day? 
-28 
28 
1.75 
-1.75 
RATIONALE 
Recall that the z-score can be calculated with the following formula: 
The given value is 52 phones, the mean is 45 phones, and the standard deviation is 4 phones. Plug these values 
in to get the following z-score: 
This ...
Sophia Statistics Unit 2 Milestone
Recall that the z-score can be calculated with the following formula: 
The given value is 52 phones, the mean is 45 phones, and the standard deviation is 4 phones. Plug these values 
in to get the following z-score: 
This also tells us that 52 is 1.75 z-scores or standard deviations above the mean. 
CONCEPT 
Standard Scores and Z-Scores 
I need help with this question 
2 
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 
said they pr...
- Exam (elaborations)
- • 23 pages •
Recall that the z-score can be calculated with the following formula: 
The given value is 52 phones, the mean is 45 phones, and the standard deviation is 4 phones. Plug these values 
in to get the following z-score: 
This also tells us that 52 is 1.75 z-scores or standard deviations above the mean. 
CONCEPT 
Standard Scores and Z-Scores 
I need help with this question 
2 
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 
said they pr...
Sophia Statistics Unit 3 Milestone,.
Which of the following is a property of binomial distributions? 
The sum of the probabilities of successes and failures is always 1. 
All trials are dependent. 
The expected value is equal to the number of successes in the experiment. 
There are exactly three possible outcomes for each trial. 
RATIONALE 
Recall that for any probability distribution, the sum of all the probabilities must sum to 1. 
CONCEPT 
Binomial Distribution 
I need help with this question 
2 
Zhi and her friends moved on to ...
- Exam (elaborations)
- • 23 pages •
Which of the following is a property of binomial distributions? 
The sum of the probabilities of successes and failures is always 1. 
All trials are dependent. 
The expected value is equal to the number of successes in the experiment. 
There are exactly three possible outcomes for each trial. 
RATIONALE 
Recall that for any probability distribution, the sum of all the probabilities must sum to 1. 
CONCEPT 
Binomial Distribution 
I need help with this question 
2 
Zhi and her friends moved on to ...
Sophia Statistics Unit 4 Milestone,.
The table below shows the grade and reading level for 5 students. 
Grade Reading Level 
Student 1 2 6 
Student 2 6 14 
Student 3 5 12 
Student 4 4 10 
Student 5 1 4 
For grade, the mean is 3.6 and the standard deviation is 2.1. 
For reading level, the mean is 9.2 and the standard deviation is 4.1. 
Using the formula below or Excel, find the correlation coefficient, r, for this set of students. Answer choices 
are rounded to the nearest hundredth. 
1.00 
0.85 
0.71
- Exam (elaborations)
- • 19 pages •
The table below shows the grade and reading level for 5 students. 
Grade Reading Level 
Student 1 2 6 
Student 2 6 14 
Student 3 5 12 
Student 4 4 10 
Student 5 1 4 
For grade, the mean is 3.6 and the standard deviation is 2.1. 
For reading level, the mean is 9.2 and the standard deviation is 4.1. 
Using the formula below or Excel, find the correlation coefficient, r, for this set of students. Answer choices 
are rounded to the nearest hundredth. 
1.00 
0.85 
0.71
Sophia Statistics Unit 4 Milestone
Two bags each contain tickets numbered 1 to 10. John draws a ticket from 
each bag five times, replacing the tickets after each draw. He records the number on the ticket for each draw from both the bags: 
Bag 1 Bag 2 
Draw 1 2 4 
Draw 2 4 5 
Draw 3 1 3 
Draw 4 6 4 
Draw 5 7 9 
For the the first bag, the mean is 4 and the standard deviation is 2.5. 
For the second bag, the mean is 5 and the standard deviation is 2.3. 
Using the formula below or Excel, find the correlation coefficient, r, for this...
- Exam (elaborations)
- • 15 pages •
Two bags each contain tickets numbered 1 to 10. John draws a ticket from 
each bag five times, replacing the tickets after each draw. He records the number on the ticket for each draw from both the bags: 
Bag 1 Bag 2 
Draw 1 2 4 
Draw 2 4 5 
Draw 3 1 3 
Draw 4 6 4 
Draw 5 7 9 
For the the first bag, the mean is 4 and the standard deviation is 2.5. 
For the second bag, the mean is 5 and the standard deviation is 2.3. 
Using the formula below or Excel, find the correlation coefficient, r, for this...
Sophia Statistics Unit 5 Milestone 5,.
Which of the following is an example of a parameter? 
Half of the receipts at the coffee shop include web address for giving feedback. 
9047 out of 531,310 citizens voted in the special election for city council. 
3.5% of the restaurant goers are given a survey to fill out. 
All of the members of the community watch group gave their availability to volunteer over the summer. 
RATIONALE 
Recall a parameter comes from the entire set of interest, the 
population. Since they are looking at all membe...
- Exam (elaborations)
- • 22 pages •
Which of the following is an example of a parameter? 
Half of the receipts at the coffee shop include web address for giving feedback. 
9047 out of 531,310 citizens voted in the special election for city council. 
3.5% of the restaurant goers are given a survey to fill out. 
All of the members of the community watch group gave their availability to volunteer over the summer. 
RATIONALE 
Recall a parameter comes from the entire set of interest, the 
population. Since they are looking at all membe...
Sophia Statistics Unit 5 Milestone 5
What value of z* should be used to construct a 97% confidence interval of a population 
mean? Answer choices are rounded to the thousandths place. 
● 1.88 
● 1.65 
● 1.96 
● 2.17 
RATIONALE 
Using the z-chart to construct a 97% CI, this means that there is 
1.5% for each tail. The lower tail would be at 0.015 and the upper tail would be at (1 - 
0.015) or 0.985. The value of 0.9850 is actually on the z-table exactly. 
0.9850 corresponds with a z-score of 2.17. 
CONCEPT 
Confidence Interv...
- Exam (elaborations)
- • 28 pages •
What value of z* should be used to construct a 97% confidence interval of a population 
mean? Answer choices are rounded to the thousandths place. 
● 1.88 
● 1.65 
● 1.96 
● 2.17 
RATIONALE 
Using the z-chart to construct a 97% CI, this means that there is 
1.5% for each tail. The lower tail would be at 0.015 and the upper tail would be at (1 - 
0.015) or 0.985. The value of 0.9850 is actually on the z-table exactly. 
0.9850 corresponds with a z-score of 2.17. 
CONCEPT 
Confidence Interv...
Sophia Statistics Unit 5 Milestone,.
Which of the following is an example of a parameter? 
Half of the receipts at the coffee shop include web address for giving feedback. 
9047 out of 531,310 citizens voted in the special election for city council. 
3.5% of the restaurant goers are given a survey to fill out. 
All of the members of the community watch group gave their availability to volunteer over the summer. 
RATIONALE 
Recall a parameter comes from the entire set of interest, the 
population. Since they are looking at all membe...
- Exam (elaborations)
- • 22 pages •
Which of the following is an example of a parameter? 
Half of the receipts at the coffee shop include web address for giving feedback. 
9047 out of 531,310 citizens voted in the special election for city council. 
3.5% of the restaurant goers are given a survey to fill out. 
All of the members of the community watch group gave their availability to volunteer over the summer. 
RATIONALE 
Recall a parameter comes from the entire set of interest, the 
population. Since they are looking at all membe...
Sophia Statistics Unit 5 Milestone
Which of the following is an example of a parameter? 
Half of the receipts at the coffee shop include web address for giving feedback. 
9047 out of 531,310 citizens voted in the special election for city council. 
3.5% of the restaurant goers are given a survey to fill out. 
All of the members of the community watch group gave their availability to volunteer over the summer. 
RATIONALE 
Recall a parameter comes from the entire set of interest, the 
population. Since they are looking at all membe...
- Exam (elaborations)
- • 22 pages •
Which of the following is an example of a parameter? 
Half of the receipts at the coffee shop include web address for giving feedback. 
9047 out of 531,310 citizens voted in the special election for city council. 
3.5% of the restaurant goers are given a survey to fill out. 
All of the members of the community watch group gave their availability to volunteer over the summer. 
RATIONALE 
Recall a parameter comes from the entire set of interest, the 
population. Since they are looking at all membe...
Sophia Stat Milestones, Updated Test_Combined
Page 2 of 15 
When sampling, there is always some variability that occurs. So, although the sample values are different, since they were randomly chosen, the differences are simply due to 
the variability
- Exam (elaborations)
- • 143 pages •
Page 2 of 15 
When sampling, there is always some variability that occurs. So, although the sample values are different, since they were randomly chosen, the differences are simply due to 
the variability