Course and Section Number
Program of Study
Week 10 Individual Work
To complete this assignment:
1. Answer all of the questions below in the space provided.
2. Reflect on the information presented in this week’s lesson and provide an insightful response
to each question.
Save and Submit to Dropbox
1. Save your work as a Microsoft Word 2010 (.docx) file that includes your name, course code,
and title in the file name. For example: JaneSmith_STA2014_Week10.docx.
2. To submit your assignment, go to the Dropbox and click "Submit Assignment."
3. Click on the drop-down menu to select the Week 10: Individual Work basket in the Dropbox.
Objective: Use confidence intervals appropriately.
22. You Explain It! Superstition: A USA Today/Gallup poll asked 1,006 adult Americans how much
it would bother them to stay in a room on the 13th ﬂoor of a hotel. Interestingly, 13% said it would
bother them. The margin of error was 3 percentage points with 95% conﬁdence. Which of the
following represents a reasonable interpretation of the survey results? For those not reasonable,
explain the ﬂaw.
(a) We are 95% conﬁdent that the proportion of adult Americans who would be bothered to stay in
a room on the 13th ﬂoor is between 0.10 and 0.16.
(b) We are between 92% and 98% conﬁdent that 13% of adult Americans would be bothered to
stay in a room on the 13th ﬂoor.
(c) In 95% of samples of adult Americans, the proportion who would be bothered to stay in a room
on the 13th ﬂoor is between 0.10 and 0.16.
(d) We are 95% conﬁdent that 13% of adult Americans would be bothered to stay in a room on the
8. (a) Find the t-value such that the area in the right tail is 0.02 with 19 degrees of freedom.
(b) Find the t-value such that the area in the right tail is 0.10 with 32 degrees of freedom.
(c) Find the t-value such that the area left of the t-value is 0.05 with 6 degrees of freedom. [Hint:
(d) Find the critical t-value that corresponds to 95% conﬁdence. Assume 16 degrees of freedom.
7. Aggravated Assault: In a random sample of 40 felons convicted of aggravated assault, it
was determined that the mean length of sentencing was 54 months, with a standard deviation of 8
months. Construct and interpret a 95% conﬁdence interval for the mean length of sentence for an
aggravated assault conviction. Source: Based on data from the U.S. Department of Justice.
12. Theme Park Spending: In a random sample of 40 visitors to a certain theme park, it was
determined that the mean amount of money spent per person at the park (including ticket price)
was $93.43 per day with a standard deviation of $15. Construct and interpret a 99% conﬁdence
interval for the mean amount spent daily per person at the theme park.
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