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Examen
Sophia Introduction to Statistics Unit 5 Milestone 5,
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---23octubre 20232023/2024A+
- If we first note the denominator of 
Then, getting the z-score we can note it is 
This tells us that 36.1 is 2.83 standard deviations above the value of 36. 
Note that when you round some values you may get slightly different results, but the results should be relatively 
close to this final calculated value. 
CONCEPT 
Z-Test for Population Means 
2 
Emile has calculated a one-tailed z-statistic of -1.97 and wants to see if it is significant at the 5% significance 
level. 
What is the critical v...
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kimanichelsea20
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Examen
Sophia Introduction to Statistics Unit 5 Milestone 5....
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---23octubre 20232023/2024A+
- If we go to the chart and the row for the z-column for -1.5 and then the column 0, this value corresponds to 
0.0668 or 0.067. 
CONCEPT 
How to Find a P-Value from a Z-Test Statistic 
3 
Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended 
vacation next year. 
What is the standard error of the sample proportion? Answer choices are rounded to the thousandths 
place. 
0.080 
0.015 
0.532 
0.033 
RATIONALE 
We can note the SE of the proportion i...
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kimanichelsea20
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Examen
Sophia Introduction to Statistics Unit 5 Milestone 5..
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---22octubre 20232023/2024A+
- RATIONALE 
Using the z-chart to construct an 88% CI, this means that there is 6% for each tail. The lower tail would be at 0.06 
and the upper tail would be at (1 - 0.06) or 0.94. The closest to 0.94 on the z-table is between 0.9394 and 0.9406. 
7/2/2020 Sophia :: Welcome 

0.9394 corresponds with a z-score of 1.55. 
0.9406 corresponds with a z-score of 1.56. 
Taking the average of these two scores, we get a z-score of 1.555. 
CONCEPT 
Confidence Intervals 
3 
A market research company conducted...
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kimanichelsea20
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Examen
Sophia Introduction to Statistics Unit 5 Milestone 5
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---22octubre 20232023/2024A+
- Recall that we have n = 7, so the df = n-1 = 6. So if we go to the 
row where df = 7 and then 0.025 for the tail probability, this gives us a value of 2.447 or 2.45. Recall that a 95% 
confidence interval would have 5% for the tails, so 2.5% for each tail. 
We can also use the last row and find the corresponding confidence level (see 95%). 
CONCEPT 
How to Find a Critical T Value 
5 
A market research company conducted a survey of two groups of students from different schools. They found that 
s...
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kimanichelsea20