SOLUTION: Good afternoon I need help with this problem I didn't get the right answer after my test results I need to know step by step, thank you so much for the help A soft drink manufac

Question 872045: Good afternoon I need help with this problem I didn't get the right answer after my test results I need to know step by step, thank you so much for the help
A soft drink manufacturer claims that its 12 ounce cans do not contain, on average more than 30 calories a random sample of 16 cans of this soft drink, which were checked for calories contained a mean of 31.8 calorie with a standard deviation of 3 calories. Assume that the number of calories in the 12 ounce cans is normally distributed. Test the manufacturer's claim at the 5% significance level
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Ho: u ≤ 30 (claim)
Ha: u > 30
------------------
t(31.8) = (31.8-30)/(3/sqrt(16)) = 1.8/.75 = 2.4
P(t > 2.4 when df = 15) = .0149
.0149 < .05
reject manufacturer's claim
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