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Description: The wait time at a drive-through fast-food restaurant has a standard deviation of 18.0 seconds. Use the following data, which has come from a population that is normally distributed, to decide whether the evidence suggests the standard deviation of w

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The wait time at a drive-through fast-food restaurant has a standard deviation of 18.0 seconds. Use the following data, which has come from a population that is normally distributed, to decide whether the evidence suggests the standard deviation of wait time is less than 18.0 seconds, using an α=0.05 level of significance.

108.5, 80.4, 67.4, 95.5, 58.0, 86.5, 75.9, 70.9, 65.1, 72.0

2C) Calculate the appropriate Test Statistic.
2D) Find the appropriate Critical Value.
2E) Use your work in parts C & D to support and state your conclusion.

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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