The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.22 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: 1.44 1.80 1.20 1.32 1.44 1.32 1.90 1.64 1.32 1.60 at the 0.050 significance level, can we conclude that water consumption has increased? calculate and interpret the p-value.

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step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for