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 1.54 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: 1.35 1.68 1.76 2.00 1.84 1.84 1.50 1.82 1.86 1.60 At the 0.050 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: 1.54 H1: > 1.54 b. State the decision rule for 0.050 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 0.050 level, can we conclude that water consumption has increased? H0 and conclude that water consumption has . e. Estimate the p-value. p-value is

Explanation / Answer

a) H0: 1.54 H1: > 1.54

b) decision rule: reject Ho: if t>1.833

c)

d)as test stat is higher then critical value ; we can   conclude that water consumption has increased

e)p value =0.0073

X 1.35 1.68 1.76 2 1.84 1.84 1.5 1.82 1.86 1.6 mean(X) 1.725 std deviation(S) 0.1942 std error =S/(n)1/2 0.0614 t=(X-1.54)/std error 3.012

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