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Question: The amount of water consumed each day by a healthy adult follows a normal distribution with a mea…

by Essaynice Tutors | Sep 9, 2023 | statistics and probability

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. A health campaign promotes the consumption of at least 2.0
liters per day:

   1.90
  1.62   1.78   1.30   1.68
  1.46   1.46   1.66   1.32
  1.52

At the 0.100 significance level, can we conclude that water
consumption has increased? Calculate and interpret the
p-value.

Question: The amount of water consumed each day by a healthy adult followsa normal distribution with a mea...

Click here for the Excel Data File

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


H₀: Î¼ â‰¤
H₁: Î¼ >

b.	State the decision rule for 0.100 significance level. (Round your answer to 3 decimal places.)

Reject
H₀ if t >

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

Value of the test
statistic

d.	At the 0.100 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)not increasedincreased.

e.	Estimate the p-value.

p-value is

(Click to
select)between 0.0005 and 0.005between 0.005 and 0.01between 0.05
and 0.10between 0.01 and 0.025greater than 0.10less than
0.0005between 0.025 and 0.05