A local village would like to test whether the true mean water consumption per household (which is assumed to be normally distributed) is greater than 300 gallons/day. A sample of 9 households were measured and found to have a sample mean of 316 gallons/day and sample standard deviation of 24 gallons per day. Which of the following hypothesis test is appropriate for this scenario? a single-tailed z-test a two-tailed t-test a single-tailed t-test a two-tailed z-test QUESTION 5 A local village would like to test whether the true mean water consumption per household (which is assumed to be normally distributed) is greater than 300 gallons/day. A sample of 9 households were measured and found to have a sample mean of 316 gallons/day and sample standard deviation of 24 gallons per day. Calculate the test statistic for the sample (e.g. the t-value or z-value). QUESTION 6 A local village would like to test whether the true mean water consumption per household (which is assumed to be normally distributed) is greater than 300 gallons/day. A sample of 9 households were measured and found to have a sample mean of 316 gallons/day and sample standard deviation of 24 gallons per day. Using the distribution tables, find the critical value for comparing the test statistic (e.g. the critical t-value or z-value) at significance level
0.05
. QUESTION 7 A local village would like to test whether the true mean water consumption per household (which is assumed to be normally distributed) is greater than 300 gallons/day. A sample of 9 households were measured and found to have a sample mean of 316 gallons/day and sample standard deviation of 24 gallons per day. What is the result of the hypothesis test, with null hypothesis
H 0
​
:μ=300
, at significance level
0.05
. Reject the null hypothesis. Do not reject the null hypothesis The hypothesis test is invalid Accept the null hypothesis