In: Statistics and Probability
Using SPSS complete an analysis for the following question. Print out your results and take a picture of the results with your interpretation on the printout. You can type the interpretation or handwrite the interpretation. The subject line should be SPSSQ4 last name first name.
1. A gerontologist investigating aspects of aging wanted to determine if leaner (not fat) rats might have longer life expectancies. She randomly assigned newborn rats to 1 of 3 treatment groups: unlimited food, 90% of the amount of food a rat of said size would eat and 80% of the amount of food said rat would normally eat. She maintained the rats on the 3 diets throughout their lives and recorded their life spans (years). Is there any evidence that diet affected life span in this study? If so, what diet affects longevity more? Assume her sample size was adequate. 10pts
Unlimited |
90% |
80% |
2.5 |
2.7 |
3.1 |
3.1 |
3.1 |
2.9 |
2.3 |
2.9 |
3.8 |
1.9 |
3.7 |
3.9 |
2.4 |
3.5 |
4.0 |
Hypothesis:
Ho: The mean life span of rats between the three types of diets are the same.
H1: The mean life span of rats between the three types of diets are not the same.
The P-value F-test is 0.007 and less than 0.05 level of significance. Hence, we can reject the null hypothesis and conclude that there is statistically significant evidence that diet affected life span in this study.
From the 95% confidence interval, the mean life span of unlimited is significantly less than from the mean of both 80% and 90% diets. Whereas, the mean life span between the diets 80% and 90% are the same. Hence, the diet affects longevity more are 80% and 90%.