Suppose we want to know the true average length of killer bee wings in California. How do we obtain this information? We need to capture all the killer bees in California and compute the average. This will answer the question, but how are we going to capture all the killer bees in California? Well, in chapter 9, we have the method to capture the true average length of killer bee wings in California with some degree of confidence. This method is based on the t-distribution. To use this method we have to assume that the length of killer bee wings in California follows a normal distribution. Suppose a random sample of 15 killer bees is captured at random in California Here are the measurements.
7.50mm 8.5mm 8.5mm 7.85mm 8.4mm
7.95mm 8.3mm 8.45mm 7.8mm 8.2mm
8.65mm 8.6mm 8.55mm 8.7mm 7.6mm
1. What is the sample mean length of killer bee wings in California?
2. What is the sample standard deviation length of killer bee wings in California?
3. How many degrees of freedom are there in this data set?
4. Construct the 98% confidence interval for the true mean length of killer bee wings in California.
5. Construct the 95% confidence interval for the population standard deviation length of killer bee wings in California.

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