an advertisement for sleeping pills claims to cause 50% longer lasting sleep. you decide to compare this new pill to your original sleeping pill.
subject (A) takes the origianl sleeping pill and subject (B) takes the new pill. subject A slept for 30 minutes while B slept for 45 minutes.
does the data support the advertisements claim about its product?
I tried to figure this out but I didn't know how to solve this. I thought you would subtract 30 from 45 which equals 15. and since 15 is fifty percent of 30, i thought that the data supported the claims but i wasn't for sure.
could someone better help me please
Your math is right.
But most people measure the effectiveness of a sleeping pill in terms of hours, not minutes. If A sleeps 6 hours, then B would have to sleep 9 hours to prove the claim.
ok thanks for the help
To determine if the data supports the advertising claim about the new sleeping pill, we need to calculate the difference in sleep duration between Subject A and Subject B as a percentage.
Here's how you can do it:
1. Calculate the difference in sleep duration:
Subject B slept for 45 minutes, subtract Subject A's sleep duration of 30 minutes:
Difference = 45 minutes - 30 minutes = 15 minutes
2. Calculate the percentage increase in sleep duration for Subject B compared to Subject A:
Percentage increase = (Difference / Subject A's sleep duration) * 100%
Percentage increase = (15 minutes / 30 minutes) * 100%
Simplifying the equation:
Percentage increase = (0.5) * 100%
Percentage increase = 50%
The calculated percentage increase in sleep duration for Subject B is indeed 50%, which matches the claim made by the advertisement. Therefore, based on the given data, it can be concluded that the data supports the advertisement's claim about its product.
However, please note that this is a simplified analysis based on the given information. In actual scientific research, it is important to consider larger sample sizes, control groups, and statistical significance to draw more accurate conclusions.