A random sample of 19 registered nurses in a large hospital showed that they worked on average 44.3 hours per week. The standard deviation of the sample was 2.6 . Estimate the mean of the population with 95% confidence. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. <<μ

A random sample of 19 registered nurses in a large hospital showed that they worked on average 44.3 hours per week. The standard deviation of the sample was 2.6 . Estimate the mean of the population with 95% confidence. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. <<μ

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

A random sample of

registered nurses in a large hospital showed that they worked on average

44.3

hours per week. The standard deviation of the sample was

2.6

. Estimate the mean of the population with

95%

confidence. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place.

<<μ

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.

Expert Solution