Question

# The amount of water consumed each day by a healthy adult follows a normal distribution with...

 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.)
 H0: μ ≤ H1: μ >
 (b) State the decision rule for .10 significance level. (Round your answer to 3 decimal places.)
 Reject H0 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 H0. 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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