Question: (One sample t-test) A new weight-reducing pill is being sold in a South town. The manufacturer claims that any overweight person who takes this pill

(One sample t-test)

A new weight-reducing pill is being sold in a South town.

The manufacturer claims that any overweight person who takes this pill as directed will lose 15 pounds within a month. To test this claim, a doctor gives this pill to 6 overweight people and finds that they lose an average of only 12 pounds with a standard deviation of 4 pounds:

Can we reject the manufacturer's claim? (required to use a 5% level of significance).

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