A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 64 cans of this soft drink, which were checked for calories, contained a mean of 32 calories with a standard deviation of 3 calories. Assume that the distribution of the calories of the soft drink is normally distributed. Use 5% significance level to determine that the mean calories in the soft drink is not more than 30 calories. Answer the following questions.

i.Identify the claim and state the H₀ and H₁.

ii.Find the critical value.

iii.Calculate the test statistic.

iv.Make a decision to reject or fail to reject the H₀.

v.Interpret the decision in the context of the original claim