If you have a research scenario in which you know both the population mean and the population standard deviation, then you would use the one sample z test. True O False

You are a researcher studying a certain species of fish in a local lake.  You gather a random sample of 19 fish of this species and record the lengths (in centimeters) of the fish. The data is displayed in the table below.  Estimate the mean length of all fish of this type in the lake.  Use a 99% confidence level. 9.1 9 8.6 5.8 9.8 7.4 9.1 9.5 8.2 8.9 9.3 7.8 9 9.6 10.4 13.6 7.2 10.1 8.9   a)  Find the confidence interval:  b) What is the margin of error of your interval?  c) Interpret your 99% confidence interval in context

The Statistics Games are played by a large number of teams across the county. Teams raise money to cover expenses incurred by participating. You want to estimate the mean amount of money raised by teams. You take a random sample of 36 teams and find a mean of $375, with a standard deviation of $32. What critical value should you use for a 95% confidence interval?

Suppose you calculate a z-score of -2.2 and the distribution is normal. Then which of the following is a correct interpretation?   Group of answer choices None of the above are justified interpretations   The observation is about 2.2 standard deviations less than the mean. This means it is less than all but roughly 2.5% of the observations.   The observation is about 2.2 times the variance less than the mean. This means it is less than all but roughly 5% of the observations   The observation is about 2.2 times the variance less than the mean. This means it is less than all but roughly 2.5% of the observations.   The observation is about 2.2 standard deviations less than the mean. This means it is less than all but roughly 5% of the observations.