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The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.24 liters. A sample of 10
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.24 liters. A sample of 10 adults after the campaign shows the following consumption in liters. A health campaign promotes the consumption of at least 2.0 liters per day:
1.50 1.36 1.90 1.38 1.20 1.25 1.30 1.30 1.60 1.62 |
At the 0.025 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value. |
Click here for the Excel Data File |
a. | State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.) |
H0: | |
H1: > |
b. | State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.) |
Reject H0 if t > |
c. | Compute the value of the test statistic. (Round your intermediateand finalanswer to 3 decimal places.) |
Value of the test statistic |
d. | At the 0.025 level, can we conclude that water consumption has increased? |
(Click to select)Fail to rejectReject H0 and conclude that water consumption has (Click to select)increasednot increased. |
e. | Estimate the p-value. |
p-value is | (Click to select)between 0.005 and 0.01between 0.05 and 0.10between 0.01 and 0.025between 0.025 and 0.05between 0.0005 and 0.005greater than 0.10less than 0.0005 |
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