The amount of water consumed each day by a healthy adult follows a normal distri

Question

The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.20 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: 1.34 1.32 1.38 1.40 1.70 1.40 1.32 1.90 1.38 1.36 At the 0.100 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value. Picture 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 0.100 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 0.025 and 0.05 between 0.05 and 0.10 between 0.01 and 0.025less than 0.0005 between 0.005 and 0.01 greater than 0.10between 0.0005 and 0.005

Explanation / Answer

from above :

a) null hypothesis: Ho: mean <=1.2

alternate hypothesis: mean >1.2

b)for t stat> 1.383 ; reject null hypothesis

c)test stat t=4.043

d)Reject H0 and conclude that water consumption has increased

e)  0.0005 and 0.005

X 1.34 1.32 1.38 1.4 1.74 1.4 1.32 1.9 1.38 1.36 mean(X) 1.454 std deviation(S) 0.199 std error =S/(n)1/2 0.0628 t=(X-mean)/std error 4.0429 p value 0.0015

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