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? H0:μ=12H0:μ=12, H1:μ>12H1:μ>12 H0:μ<12H0:μ<12, H1:μ=12H1:μ=12 H0:μ=12H0:μ=12, H1:μ<12H1:μ<
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?
- H0:μ=12H0:μ=12, H1:μ>12H1:μ>12
- H0:μ<12H0:μ<12, H1:μ=12H1:μ=12
- H0:μ=12H0:μ=12, H1:μ<12H1:μ<12
- H0:μ=12H0:μ=12, H1:μ≠12H1:μ≠12
- H0:μ≠12H0:μ≠12, H1:μ=12H1:μ=12
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:
- Do not Reject the Null Hypothesis
- Reject the Null Hypothesis
Which would be the appropriate conclusion?
- There is not significant evidence to suggest that the actual
mean weight loss for participants is less than 12 - There is significant evidence to suggest that the actual mean weight loss for participants is less than 12
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images