An ice-cream shop claims that one scoop of ice-cream is 50 grams. An inspector is wondering if the amount of ice-cream in one scoop is less than 50 grams. He tests a random sample of 60 scoops. The sample mean is found to be 49.2 grams, with sample standard deviation of 2.2 grams. Conduct a hypothesis test to determine if the average amount of ice-cream in one scoop is less than 50 grams. Use α = 0.05. State a decision and a conclusion.

MATLAB: An Introduction with Applications
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  1. An ice-cream shop claims that one scoop of ice-cream is 50 grams. An inspector is wondering if the amount of ice-cream in one scoop is less than 50 grams. He tests a random sample of 60 scoops. The sample mean is found to be 49.2 grams, with sample standard deviation of 2.2 grams. Conduct a hypothesis test to determine if the average amount of ice-cream in one scoop is less than 50 grams. Use α = 0.05. State a decision and a conclusion.

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