Suppose that the waiting times for patients at a local hospital are normally distributed with known population standard deviation of 30 minutes. A random sample of 75 patients in the local hospital had a mean time of 90 minutes. Assume a 95% confidence interval for the population mean µ. a) What is the formula used to calculate the standard error? b) Calculate the margin of error of the 95% confidence interval c) Find the lower confidence limit of the 95% confidence interval

Suppose that the waiting times for patients at a local hospital are normally distributed with known population standard deviation of 30 minutes. A random sample of 75 patients in the local hospital had a mean time of 90 minutes. Assume a 95% confidence interval for the population mean µ. a) What is the formula used to calculate the standard error? b) Calculate the margin of error of the 95% confidence interval c) Find the lower confidence limit of the 95% confidence interval

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

Suppose that the waiting times for patients at a local hospital are normally distributed with known
population standard deviation of 30 minutes. A random sample of 75 patients in the local hospital
had a mean time of 90 minutes. Assume a 95% confidence interval for the population mean µ.
a) What is the formula used to calculate the standard error?
b) Calculate the margin of error of the 95% confidence interval
c) Find the lower confidence limit of the 95% confidence interval

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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