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Privitera, Essential Statistics - 1e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 37 / 60

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

Question
Points
1 2 3 4 5 6 7 8 9 10 11
–/2 –/3 –/2 –/3 –/4 –/3 –/4 –/3 –/11 –/22 –/3
Total
37/60 (61.7%)
  • Instructions

    Essential Statistics for the Behavioral Sciences 1st edition, written by Gregory Privitera and published by SAGE Publications, offers a brief and engaging introduction to the field with practical examples, clear instruction, and application of statistics to current, real-life research problems. The WebAssign component for this text engages students with immediate feedback, an interactive eBook, and a question bank of multiple choice and true/false exercises.

    All questions include a link to the related section in the eBook.

    All textbook exercises include feedback for wrong answers to help guide next steps.

    Question 2 includes a graph with randomized values to provide students with a varying experience.

    Question 3 uses a real-world application to provide context for the topic.

    Questions 5 and 7 are presented using a collapsible form to let students focus on working through the problem one part at a time.

    Questions 5, 9 and 10 provide a link to the probability table found in the textbook’s appendix and the grading accepts answers found using either tables or software.

    Question 8 showcases a two answer box structure to mimic the textbook’s presentation of confidence intervals.

    Questions 9 and 10 demonstrate an ANOVA table layout with answer boxes.

    Question 11 allows a student to enter their equation values individually for potential partial credit.

    View the complete list of WebAssign questions available for this textbook.

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1. /2 points PriviteraEssStat1 1.E.009. My Notes
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/2
 
A quantitative variable varies by ; a qualitative variable varies by .

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2. /3 points PriviteraEssStat1 2.E.025. My Notes
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/3
 
The following bar graph summarizes the number of nights per week a sample of college students spent studying.
WebAssign Plot
(a) How many students were observed in this study?
students

(b) How many students studied 3 nights per week?
students

(c) How many students studied at least 3 nights per week?
students

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3. /2 points PriviteraEssStat1 2.E.033. My Notes
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/2
 
In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.
(a) What type of distribution is this?
    

(b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.)
Americans

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4. /3 points PriviteraEssStat1 3.E.011. My Notes
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/3
 
The following frequency distribution table lists the time (in minutes) that participants were late for an experimental session. Compute the sample mean, median, and mode for these data.
mean     min
median     min
mode     min
Time (min) Frequency
0 2
2 5
5 1
7 3
8 2

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A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal to 25.

  • Part (a)

    What percentage of scores are between 15 and 25? (Round your answer to two decimal places.)
    %


You may need to use the appropriate table in Appendix B to answer this question.

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6. /3 points PriviteraEssStat1 6.E.023. My Notes
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A population is normally distributed with a mean of 51 and a standard deviation of 8.
(a) What is the mean of the sampling distribution (μM) for this population?
μM =

(b) If a sample of 16 participants is selected from this population, what is the standard error of the mean (σM)?
σM =

(c) Sketch the shape of this distribution with
M ± 3 SEM.

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7. /4 points PriviteraEssStat1 7.E.015. My Notes
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The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 124 ± 18 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance.

  • Part (a)

    What are the null and alternative hypotheses?
        


You may need to use the appropriate table in Appendix B to answer this question.

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8. /3 points PriviteraEssStat1 8.E.021. My Notes
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Listening to music has long been thought to enhance intelligence, especially during infancy and childhood. To test whether this is true, a researcher records the number of hours that eight high-performing students listened to music per day for 1 week. The data are listed in the table.
Music Listening Per
Day (in hours)
4.1
4.9
4.9
3.9
4.1
5.6
4.2
4.5
(a) Find the confidence limits at a 95% CI for this one-independent sample. (Round your answers to two decimal places.)
to hours per day

(b) Suppose the null hypothesis states that students listen to 3.5 hours of music per day. What would the decision be for a two-tailed hypothesis test at a 0.05 level of significance?
    


You may need to use the appropriate table in Appendix B to answer this question.

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9. /11 points PriviteraEssStat1 11.E.022. My Notes
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Iconic memory is a type of memory that holds visual information for about half a second (0.5 seconds). To demonstrate this type of memory, participants were shown three rows of four letters for 50 milliseconds. They were then asked to recall as many letters as possible, with a 0-, 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The number of letters correctly recalled is given in the table.
Delay Before Recall
0 0.5 1
10 9 4
8 10 2
7 3 5
6 3 7
13 5 2
10 6 4
(a) Complete the F-table. (Round your values for MS and F to two decimal places.)
Source of Variation SS df MS F
Between groups
Within groups (error)
Total

(b) Compute Tukey's HSD post hoc test and interpret the results. (Assume alpha equal to 0.05. Round your answer to two decimal places.)
The critical value is for each pairwise comparison.

Which of the comparisons had significant differences? (Select all that apply.)


You may need to use the appropriate table in Appendix B to answer this question.

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10. /22 points PriviteraEssStat1 12.E.023. My Notes
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/22
 
Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter months). One therapy for SAD is phototherapy, which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of SAD patients to different intensities of light (low, medium, high) in a light box, either in the morning or at night (these are the times thought to be most effective for light therapy). All participants rated their mood following this therapy on a scale from 1 (poor mood) to 9 (improved mood). The hypothetical results are given in the following table.
  Light Intensity
Low Medium High
Time of
Day
Morning 5 5 7
6 6 7
3 4 6
7 7 9
5 9 5
6 8 8
Night 5 6 8
8 8 7
6 7 6
7 5 8
4 9 7
3 8 6
(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Round your answers to two decimal places. Assume experimentwise alpha equal to 0.05.)
Source of
Variation
SS df MS F
Time of day
Intensity
Time of
day ×
Intensity
Error  
Total

State the decision for the main effect of the time of day.
    

State the decision for the main effect of intensity.
    

State the decision for the interaction effect.
    

(b) Compute Tukey's HSD to analyze the significant main effect.
The critical value is for each pairwise comparison.

Summarize the results for this test using APA format.

This answer has not been graded yet.



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A forensic psychologist tests the extent to which the age of a criminal (X) predicts the age of the victim (Y) for nonviolent crimes. The psychologist uses the case files to record the age of five criminals and the age of the victim in those cases. The hypothetical data are listed in the following table.
Age of Criminal Age of Victim
X Y
32 25
25 20
29 25
18 22
12 17
(a) Compute the method of least squares to find the equation of the regression line. (Round your answers to three decimal places.)
Y hat = X +

(b) Use the regression equation to determine the predicted age of a victim of a nonviolent crime when the criminal is 23 years old. (Round your answer to three decimal places.)
years old

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