Question

The Old Farmer's Almanac stated that the average consumption of water per person per day was 123 gallons. To test the hypothesis that this figure may no longer be true, a researcher randomly selected 17 people and found that they used on average 120.6 gallons per day ands = 5.3. At a = 0.05, is there enough evidence to say that theOld Farmer's Almanac figure might no longer be correct? Use the P-value method. Assume the population is normally distributed. Use a graphing calculator. Part 1 out of 4

1. state the hypothesis and identify the claim with the correct hypothesis. Also one or two tailed test?

2. Compute the test value

3. Find the P-value

4. Make the decision to reject or not reject the null hypothesis

5. Summarize the results

Answer 1

Sol Given, Sample mean, X2 120.6 Sample size, na 17 Sample standard deviation, s=5.3 level of significance, a=0.05 The null and alternative hypothesin are: HOM= 123 (Claim) Hair & 123 a two lailed Test This Text statistic, t= &- = 120.6-123 slon 5.3/07 - -1.8671 degrees of freedom, df = n-1=17-1=16 P-value = 2 *P(t < -1.8671) | df = 16 0.0803 Here, p-value (0.0803) > 41=0.05), so we tail to reject the null hypothesis. Hence, There is no sufficient evidence to believe that the average consumption of water per person perday is restors no longer Than 123