The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.28 liters. A sample of 10 adults after the campaign shows the following consumption in liters: |
1.90 1.62 1.78 1.30 1.68 1.46 1.46 1.66 1.32 1.52 |
At the .10 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.) |
H_{0}: μ ≤ | |
H_{1}: μ > | |
(b) | State the decision rule for .10 significance level. (Round your answer to 3 decimal places.) |
Reject H_{0} if t > |
(c) |
Compute the value of the test statistic. (Round the value of standard deviation and final answer to 3 decimal places.) |
Value of the test statistic |
(d) | At the .10 level, can we conclude that water consumption has increased? |
(Click to select)RejectFail to reject H_{0}. and conclude that water consumption has (Click to select)increasednot increased. |
(e) | Estimate the p-value. |
p-value | (Click to select)less than 0.0005between 0.005 and 0.0005between 0.005 and 0.1greater than 0.005 |
a)
null hypothesis: Ho: μ | <= | 1.28 | |
Alternate Hypothesis: Ha:μ | > | 1.28 |
b)
Decision rule : reject Ho if test statistic t>1.383 |
c)
population mean μ= | 1.28 |
sample mean x= | 1.570 |
sample size n= | 10.00 |
sample std deviation s= | 0.194 |
std error sx=s/√n= | 0.0613 |
test stat t='(x-μ)*√n/s= | 4.734 |
d)
Reject Ho , and conclude that water consumption has
increased. |
e)
between 0.005 and 0.0005
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