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Fall 2026-91195-202690-PSY208-N02 - Statistics

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In a statistics exam, you received a score of 90, while the group mean score is 75 with a standard deviation of 5. What is your z-score? Use the following formula as a reference: Z = (X − μ) / σ.

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Explain the Central Limit Theorem in your own words. Describe what happens to the distribution of sample means as sample size [n] increases.

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What is the difference between left-skewed, right-skewed, and symmetrical distributions? Give an example of each.
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If the level of significance is 0.05 and the p-value is 0.06, what conclusion can you draw?

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If there are 15 data points in a set of data,

what is the number of degree of freedom for correlation coefficient calculation?

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65. Kyle’s doctor told

him that the z-score for his systolic blood pressure is 1.75. Which of the

following is the best interpretation of this standardized score? The systolic

blood pressure (given in millimeters) of males has an approximately normal

distribution with mean µ = 125 and standard deviation σ = 14. If X = a systolic

blood pressure score then X ~ N (125, 14).

b. Calculate Kyle’s

blood pressure.

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The patient recovery

time from a particular surgical procedure is normally distributed with a mean

of 5.3 days and a standard deviation of 2.1 days.

What is the z-score

for a patient who takes ten days to recover? (use 

Z= (X−μ)/ σ ​)

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Kyle’s doctor told him

that the z-score for his systolic blood pressure is 1.75. Which of the

following is the best interpretation of this standardized score? The systolic

blood pressure (given in millimeters) of males has an approximately normal

distribution with mean µ = 125 and standard deviation σ = 14. If X = a systolic

blood pressure score then X ~ N (125, 14).

a. Which answer(s)

is/are

correct?

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The population full-time equivalent number of students (FTES) for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here.

Year

2005–06

2006–07

2007–08

2008–09

2009–10

2010–11

Total FTES

1,585

1,690

1,735

1,935

2,021

1,890

Calculate the first and third quartiles. Round to one decimal place. Use the following formula to find the position of the quartiles.

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If you have a decimal for the position, find the value using this formula

Q=Xi​+d(Xi+1​−Xi​)

Where:

  • Xi​ = the value at the lower position
  • Xi+1​ = the value at the next position
  • dd = the decimal part of the quartile position
  • 0<d<1

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The population full-time equivalent number of students (FTES) for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here.

Year

2005–06

2006–07

2007–08

2008–09

2009–10

2010–11

Total FTES

1,585

1,690

1,735

1,935

2,021

1,890

Calculate the median. Round to one decimal place.

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