Confidence Intervals Section 11.1. PANIC P for Parameter ( ) A for Assumptions – Same as Test N for Name of Interval I for Interval C for conclusion.

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Presentation transcript:

Confidence Intervals Section 11.1

PANIC P for Parameter ( ) A for Assumptions – Same as Test N for Name of Interval I for Interval C for conclusion

The average weights of adult male deer in two Colorado regions was studied. In the Cache la Poudre Region, a sample of 51 deer had an average weight of kg with standard deviation of kg. In the Mesa Verde Region, a random sample of 36 deer gave a mean weight of kg with standard deviation of kg. Find a 95% confidence interval for the difference in the two regions. P A Assumptions 1. Random Samples 2. Approximately normal since n 1 > 30 and n 2 > There are at least 510 deer in Cach and 360 in Mesa..

nmeanSt. Dev. Cache la Poudre Mesa Verde N 2 sample mean T-interval (Use t since σ 1 & σ 2 are unknown.) I Df = 36-1=35

Interpretation C We are 95% confident that the difference in mean weight of the adult male deer in Cache la Poudre and the deer in Mesa Verde is between and

Confidence Intervals can be used to test data. Is there evidence that the mean weight of adult male deer in Cache la Poudre is less that the mean weight of adult male deer in Mesa Verde? Since the entire interval is negative, there’s sufficient evidence to support the claims that the Cache la Poudre adult male deer weigh less than the male deer in Mesa Verde.

We combine the two statements: We are 95% confident that the difference in mean weight of the adult male deer in Cache la Poudre and the deer in Mesa Verde is between and Since the entire interval is negative, there’s sufficient evidence to support the claims that the Cache la Poudre adult male deer weigh less than the male deer in Mesa Verde.

Brand Name Generic The data above shows the average life span of batteries. Is there sufficient evidence that they are different? Use a 90% confidence interval.

We’re 98% confident that the mean difference in battery life is between hrs and hrs. In fact, since the entire interval is less than zero, we can support the claim that the mean life span of the brand name batteries is less than the mean life span of the generic batteries.

If we are looking at the mean pulse rate of men vs women and find the confidence interval (-20, 23), how can we interpret this.

Homework Worksheet #2