Taylor decided that she needed to make a bit of extra money so she decided to participate in a clinical trial for a drug company called Good Pharma. They are trying to see if a new diet pill is more effective than a placebo pill in helping people loose weight. She is randomly assigned to one of the groups and the researchers put all of the participants on the same workout and meal plan. 50 people were placed in the placebo group and 36 in the diet pill group. After two months the researchers brought everyone in and they recorded the number of lbs lost and tested at the alpha level of 0.03.

Testing Output

    Group 1 Sample Statistics:

       sample mean diet pill= 13.25 lbs

       sample standard deviation diet pill= 2.6 lbs

    Group 2 Sample Statistics:

       sample mean placebo= 9.75 lbs

       sample standard deviation diet pill= 3.432 lbs

    p_value= 0.0144

    Confidence Interval= [1.25, ∞ ]

Analysis

    What test would be appropriate for this scenario?

    H₀:

    H₁:

    Conclusion:

We collected insufficient evidence at the alpha level of 0.03 to reject the claim that the true mean weight loss for the diet pill is the same as that for the placebo.

We collected sufficient evidence at the alpha level of 0.03 to reject the claim that the true mean weight loss for the diet pill is the same as that for the placebo and conclude that the true mean weight loss for the diet pill is greater than that for the placebo.

We collected sufficient evidence at the alpha level of 0.03 to reject the claim that the true proportion of people who lost weight on the diet pill is the same as that for the placebo and conclude that the true proportion of people who lost weight on the diet pill is greater than that for the placebo.

We collected insufficient evidence at the alpha level of 0.03 to conclude that the true proportion of people who lost weight on the diet pill is the same as that for the placebo.

    Confidence Interval Statement:

There is a 97% chance that the true difference in mean weight loss between the diet pill and the placebo pill is greater than 1.25 lbs with the diet pill being greater.

We are 97% confident that the true difference in mean weight loss between the diet pill and the placebo pill is greater than 1.25 lbs with the diet pill being greater.

There is a 97% chance that the true difference in mean weight loss between the diet pill and the placebo pill is less than 1.25 lbs with the diet pill being greater.

We are 97% confident that the true difference in mean weight loss between the diet pill and the placebo pill is less than 1.25 lbs with the diet pill being greater.

Data was insufficient to show difference, no need to do Confidence Interval.

Question

Taylor decided that she needed to make a bit of extra money so she decided to participate in a clinical trial for a drug company called Good Pharma. They are trying to see if a new diet pill is more effective than a placebo pill in helping people loose weight. She is randomly assigned to one of the groups and the researchers put all of the participants on the same workout and meal plan. 50 people were placed in the placebo group and 36 in the diet pill group. After two months the researchers brought everyone in and they recorded the number of lbs lost and tested at the alpha level of 0.03.

Testing Output

Group 1 Sample Statistics:

sample mean diet pill= 13.25 lbs

sample standard deviation diet pill= 2.6 lbs

Group 2 Sample Statistics:

sample mean placebo= 9.75 lbs

sample standard deviation diet pill= 3.432 lbs

p_value= 0.0144

Confidence Interval= [1.25, ∞ ]

Analysis

What test would be appropriate for this scenario?

H₀:

H₁:

Conclusion:

We collected insufficient evidence at the alpha level of 0.03 to reject the claim that the true mean weight loss for the diet pill is the same as that for the placebo.
We collected sufficient evidence at the alpha level of 0.03 to reject the claim that the true mean weight loss for the diet pill is the same as that for the placebo and conclude that the true mean weight loss for the diet pill is greater than that for the placebo.
We collected sufficient evidence at the alpha level of 0.03 to reject the claim that the true proportion of people who lost weight on the diet pill is the same as that for the placebo and conclude that the true proportion of people who lost weight on the diet pill is greater than that for the placebo.
We collected insufficient evidence at the alpha level of 0.03 to conclude that the true proportion of people who lost weight on the diet pill is the same as that for the placebo.

Confidence Interval Statement:

There is a 97% chance that the true difference in mean weight loss between the diet pill and the placebo pill is greater than 1.25 lbs with the diet pill being greater.
We are 97% confident that the true difference in mean weight loss between the diet pill and the placebo pill is greater than 1.25 lbs with the diet pill being greater.
There is a 97% chance that the true difference in mean weight loss between the diet pill and the placebo pill is less than 1.25 lbs with the diet pill being greater.
We are 97% confident that the true difference in mean weight loss between the diet pill and the placebo pill is less than 1.25 lbs with the diet pill being greater.
Data was insufficient to show difference, no need to do Confidence Interval.

Accepted Answer

Claim : A new diet pill is more effective than a placebo pill in helping people loose weight.