A researcher is interested in examining the difference in the average egg incubation temperature of two lizards in North Carolina, the native green anoles versus the invasive brown anoles. To investigate this, she takes two random samples from both of the lizard populations and calculates the average egg incubation temperature, standard deviation, and sample size for each of the two samples. The average incubation temperature for the 25 sampled brown anoles is 83.2 degrees Fahrenheit, with a sample standard deviation of 20.2 degrees Fahrenheit. The average incubation temperature the 28 samples green anoles is 80.1 degrees Fahrenheit, with a sample standard deviation of 17.4 degrees Fahrenheit. She has also determined that the two samples do not exhibit strong skewness and appear approximately normal. Determine the appropriate t∗ critical value for a 99% confidence interval for the difference between the true mean incubation temperatures for the two different anole species, μ1−μ2. Give your answer accurate to three digits past the decimal point.
A researcher is interested in examining the difference in the average egg incubation temperature of two lizards in North Carolina, the native green anoles versus the invasive brown anoles. To investigate this, she takes two random samples from both of the lizard populations and calculates the average egg incubation temperature, standard deviation, and sample size for each of the two samples.
The average incubation temperature for the 25 sampled brown anoles is 83.2 degrees Fahrenheit, with a sample standard deviation of 20.2 degrees Fahrenheit. The average incubation temperature the 28 samples green anoles is 80.1 degrees Fahrenheit, with a sample standard deviation of 17.4 degrees Fahrenheit. She has also determined that the two samples do not exhibit strong skewness and appear approximately normal.
Determine the appropriate t∗ critical value for a 99% confidence interval for the difference between the true mean incubation temperatures for the two different anole species, μ1−μ2. Give your answer accurate to three digits past the decimal point.
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