Question

The test statistic when the population standard deviation is know is z=∂θ/π−10​. Match eoch term to its meaning.

Answer 1

The test statistic when the population standard deviation is known is represented by the formula z = (X - μ) / (σ/√n), where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Step-by-step explanation:

The test statistic when the population standard deviation is known is represented by the formula z = (X - μ) / (σ/√n), where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. In this case, the test statistic given is z = (∂θ/π - 10), but it should follow the z-score formula. To match the terms to their meanings:

1. The test statistic z represents the number of standard deviations the sample mean is from the population mean.
2. ∂θ represents the sample mean.
3. π represents the population mean.
4. 10 represents the value to compare the sample mean to.