QuestionJune 17, 2025

The average lifespan for the 25 rats in our sample is 1430 days. Determine our sample's Z score on the comparison distribution. A ) -5 B +5 C -1 D +1

The average lifespan for the 25 rats in our sample is 1430 days. Determine our sample's Z score on the comparison distribution. A ) -5 B +5 C -1 D +1
The average lifespan for the 25 rats in our sample is 1430 days.
Determine our sample's Z score on the comparison distribution.
A ) -5
B +5
C -1
D +1

Solution
4.5(317 votes)

Answer

C -1 Explanation 1. Identify the Mean and Standard Deviation Assume the population mean (\mu) is 1500 days and standard deviation (\sigma) is 70 days. 2. Calculate the Z Score Use the formula for Z score: **Z = \frac{X - \mu}{\sigma}** where X is the sample mean. Substitute values: Z = \frac{1430 - 1500}{70} = \frac{-70}{70} = -1.

Explanation

1. Identify the Mean and Standard Deviation<br /> Assume the population mean ($\mu$) is 1500 days and standard deviation ($\sigma$) is 70 days.<br /><br />2. Calculate the Z Score<br /> Use the formula for Z score: **$Z = \frac{X - \mu}{\sigma}$** where $X$ is the sample mean.<br /> Substitute values: $Z = \frac{1430 - 1500}{70} = \frac{-70}{70} = -1$.
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