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Name: The amount of water consumed each day by a healthy adult follows a nor
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Description: The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.32 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.32 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:


1.35	1.42	1.34	1.42	1.44	1.64	1.90	1.64	1.50	1.38

At the 0.025 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.

a) State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.)

b) State the decision rule for 0.025 significance level.(Round your answer to 3 decimal places.)

c) Compute the value of the test statistic. (Round your intermediate and final answer to 3 decimal places.)

d) Estimate the p-value.

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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