An experimenter is convinced that her measuring instrument had a variability measured by standard deviation σ = 2. During an experiment, she recorded the measurements 4.1, 5.2, and 10.2. Do these data...

An experimenter is convinced that her measuring instrument had a variability measured by standard deviation σ = 2. During an experiment, she recorded the measurements 4.1, 5.2, and 10.2. Do these data confirm or disprove her assertion? Test the appropriate hypothesis, and construct a 90% confidence interval to estimate the true value of the population variance.