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Statistics Homework sheet
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Module 2 Homework Assignment
1. 459 randomly selected light bulbs were tested in a laboratory, 291 lasted more than 500 hours. Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.
Solution:
2. Find the critical value for zα/2 that corresponds to a degree of confidence of 98%.
Solution:
3. Find the margin of error for the 95% confidence interval used to estimate the population proportion with n = 163 and x = 96.
Solution:
4. Construct the confidence interval for question 3.
Solution:
5. Interpret the confidence interval found in question 4.
Solution:
6. What are the requirements for a Student’s tdistribution?
Solution:
7. Find the critical value for tα/2 corresponding to n = 12 and 95% confidence level.
Solution:
8. Use the confidence level and sample data to find the margin of error E.
College students’ annual earnings:
99% confidence, n = 81, = $3967, s = $874
Solution:
9. Construct the confidence interval for question 8 above.
Solution:
10. Interpret and describe the confidence obtained in question 9 in nontechnical terms.
Solution:
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