Question

Do you drink the recommended amount of water each day? Most Americans don't! On average, Americans drink 4.5 eight-oz servings of water a day, 36 total ounces per day. A sample of 40 education professionals was randomly selected and their water consumption for a 24-hour period was monitored; the mean amount consumed was 38.7 oz. Assuming the amount of water consumed daily by adults is normally distributed and the standard deviation is 11.7 oz, is there sufficient evidence to show that education professionals consume, on average, more water daily than the national average? Use α = .05.

(a) What is the appropriate alternate hypothesis? Ha μ

(b) Find the p-value. (Give your answer correct to four decimal places.)

(c) State the appropriate conclusion. Reject the null hypothesis, there is significant evidence that education professionals consume more water daily. Fail to reject the null hypothesis, there is significant evidence that education professionals consume more water daily. Reject the null hypothesis, there is not significant evidence that education professionals consume more water daily. Fail to reject the null hypothesis, there is not significant evidence that education professionals consume more water daily

(d) Which of the following are true about the p-value?

1. P-value is the probability that our statistical evidence, the sample mean is explained by sampling variation or "chance"

2. The p-value is the probability that the alternative hypothesis is false

3. The p-value is the probability that the alternative hypothesis is true.

4. The p-value is a probability statement about the sample mean

5. The p-value is calculated using a normal sampling distribution with μx = 36

6. The p-value is the probability that the null hypothesis is false

7. The p-value is a probability

8. P-value = p(x >38.7 | μx = 36)

Answer 1

Conclusion

Fail to reject the null hypothesis, there is not significant evidence that education professionals consume more water daily.

P value is the probability.

P-value = p(x >38.7 | μx = 36)

The p-value is the probability that the alternative hypothesis is false