# PDET 412-Module 3 Homework Assignment

Question
Module 3 Homework Assignment

1. Find the critical value .png”>corresponding to a sample size of 19 and a confidence level of 99%.

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2.Find the critical value .png”>corresponding to a sample size of 19 and a confidence level of 99%.

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3. Explain how the degrees of freedom affect a Chi-Square Distribution.

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4. Using a data set of 40 LDL cholesterol levels of women, we get a 95% confidence interval estimate: 916.591 .

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6. A container of car antifreeze is supposed to hold 3785 mL of the liquid. Realizing that fluctuations are inevitable, the quality control manager of Taconic Chemical Company wants to be quite sure that the standard deviation is less than 30 mL. Otherwise, some containers would overflow while others would not have enough of the coolant. She selects a simple random sample of 24 containers and finds that the mean is 3789 mL and the standard deviation is 42.8 mL. Use these sample results to construct the 99% confidence interval for the true value ofs. Does this confidence interval suggest that the variation is an acceptable level?

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7. The values listed below are the waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Construct a 95% confidence interval for the population standard deviation .png”>and interpret the results.

6.5 6.6 6.7 6.8 7.1 7.3 7.4 7.7 7.7 7.7

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8. The values listed below are the waiting times (in minutes) of customers at the Bank of Providence, where customers enter any one of three different lines that have formed at three teller windows. Construct a 95% confidence interval for the population standard deviation .png”> and interpret the results.

4.2 5.4 5.8 6.2 6.7 7.7 8.5 9.3 10.0

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