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In: Statistics and Probability

Question 1 Express the confidence interval 674.1±156.1 in the form of a trilinear inequality. _____ <...

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 < _____

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