Question

The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.32 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:

1.35	1.42	1.34	1.42	1.44	1.64	1.90	1.64	1.50	1.38

At the 0.025 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.

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

2. State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.)

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

4. At the 0.025 level, can we conclude that water consumption has increased?

5. Estimate the p-value.

Answer 1

Here p-value =0.0047 < 0.025 (level of significance)

Therefore we reject null hypothesis