The price of a particular brand of jeans has a mean of $37.99 and a standard deviation of $7. A sample of
49 pairs of jeans is selected. Use Excel to answer the following questions.
- What are the mean value, the standard deviation, and the shape of the sampling distribution of
sample means? - What is the probability that the sample of jeans will have a mean price of less than $40?
- What is the probability that the sample of jeans will have a mean price between $38 and
$39? - What is the probability that the sample of jeans will have a mean price within $3 of the
population means? - Find the average cost for 49 pairs of jeans in the 95th percentile.
Questions for you to ponder from chapter 9
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.
7.5mm 8.5mm 8.5mm 7.85mm 8.4mm
7.95mm 8.30mm 8.45mm 7.8mm 8.2mm
8.65mm 8.6mm 8.55mm 8.7mm 7.6mm
- What is the sample mean length of killer bee wings in California?
- What is the sample standard deviation length of killer bee wings in California?
- How many degrees of freedom are there in this data set?
- Construct the 98% confidence interval for the true mean length of killer bee wings in
California. - Construct the 95% confidence interval for the population standard deviation length of
killer bee wings in California.
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