A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K. Use the Student's t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide. (Round the final answers to two decimal places.) The 95% confidence interval is = ?
Added by John M.
Step 1
Given that the critical value, \(T_C = 2.015\), sample standard deviation, \(s = 0.66\), and sample size, \(n = 6\), we can calculate the margin of error using the formula: \[ME = T_C \times \frac{s}{\sqrt{n}}\] Show more…
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8. A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.68 K. a. Use the Student's t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide. b. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide. c. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
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