What is the degrees of freedom in this problem? Use table or Technology to find t-critical value with degrees of freedom found above and with α=0.05 significance level. Find the Margin of error (E)
What is the degrees of freedom in this problem? Use table or Technology to find t-critical value with degrees of freedom found above and with α=0.05 significance level. Find the Margin of error (E)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are randomly selected. The mean weight for these gems is x¯=6.75 carats, and the sample standard deviation is s=0.33 carat. Let μ be the mean weight for the distribution of all sapphires produced by the new process.
- What is the degrees of freedom in this problem?
- Use table or Technology to find t-critical value with degrees of freedom found above and with α=0.05 significance level.
- Find the Margin of error (E)
- Find a 95% confidence interval for μ
- Interpret the confidence interval in the context of the problem.
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