An ad for a new weight-loss program claims that participants lose an average of 12 pounds during their first month in the program. A skeptical medical professional believes that figure is too high,...

An ad for a new weight-loss program claims that participants lose an average of 12 pounds during their first month in the program. A skeptical medical professional believes that figure is too high, and wishes to conduct a hypothesis test at the α=0.05α=0.05 level of significance to determine if they are right. Suppose it is known that the population standard deviation for weight loss is 2.3 pounds.(Round your results to four decimal places)



Which would be correct hypotheses for this test?

A random sample of 33 participants lost an average of 10.4 pounds. Find the test statistic:






Give the P-value:






Which is the correct result:

Which would be the appropriate conclusion?