Question

A local grocery store manager was tracking the amount of water customers purchased during the current pandemic. The store manager had read an article that stated the mean amount of water purchased by Americans was 5.7 gallons, but the store manager claims that customers at the store purchase more than 5.7 gallons of water. To test this claim, the store manager identified a sample of 25 customers and found that the mean amount of water purchased by the sample was 6.3 gallons with a standard deviation of 1.4 gallons. Test at the 1% significance level if the mean amount of water purchased is actually higher than 5.7 gallons.

(i) Hypotheses  
  H0:μ=
  H1:μ

(ii) Test Statistic

(iv) Decision

Answer 1

as pvalue is greater than alpha so we accept null hypothesis.

Conclusion:Hence, There is insufficient evidence to conclude that mean amount of water purchased is higher than 5.7