Question

One sample t-test : A new weight-reducing pill is being sold in a Midwestern 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? (Use a 5% level of significance).

Answer 1

Solution :

Given that,

= 12

= 15

s = 4

n = 6

Test statistic = t = ( - ) / s / n = (12 - 15) / 4 / 6 = -1.84

Test statistic = -1.84

This is the left tailed test .

P-value = 0.0626

= 5% = 0.05

P-value >

we fail to reject the manufacturer’s claim .