In: Statistics and Probability
Question 1
Express the confidence interval 674.1±156.1 in the form of a trilinear inequality.
_____ < μ < ______
Question 2
Express the confidence interval (440.7,504.5) in the form of ¯x±ME
x±ME = _____ ± _____
Question 3
For a confidence level of 85%, find the critical z value.
Critical z =_____
Question 4
For a confidence level of 90%, find the critical z value. Round
to at least 2 decimal places.
Critical z = _____
Question 5
You measure 36 textbooks' weights, and find they have a mean
weight of 32 ounces. Assume the population is normally distributed
with a standard deviation of 11.5 ounces. Based on this, construct
a 95% confidence interval for the true population mean textbook
weight.
Give your answers correct to at least two decimal places.
Lower Limit = _____
Upper Limit = _____
Question 6
You measure 32 turtles' weights, and find they have a mean
weight of 52 ounces. Assume the population standard
deviation is 8.9 ounces. Based on this, construct a 99%
confidence interval for the true population mean turtle
weight.
Give your answers as ¯x±ME, to two decimal places
_____ ± _____ Ounces
Question 7
For a confidence level of 95% with a sample size of 28, find the critical t value.
Question 8
If n=13, ¯x=30, and s=14, construct a confidence interval at a
99%99% confidence level. Assume the data came from a normally
distributed population.
Give your answers to one decimal place.
_____ < μ < _____