Do you drink the recommended amount of water each day? Most Americans don't! On average, Americans drink 5 eight ounce servings of water a day. A sample of 30 education professionals was randomly selected and their water consumption for a 24 hour period was monitored; the mean amount consumed was 43.7 ounces. Assuming the amount of water consumed daily by adults is normally distributed and the standard deviation is 10.9 ounces, is there sufficient evidence to show that education professionals consume, on average, more water daily that the national average? use α=.05
a) Find z. (give answer correct to two decimal places)
b) Find the p-value (give your answer correct to four decimal places)
c) State the appropriate conclusion from the following choices.
-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.