# One-sample z test

The one-sample z-test is a statistical method used to determine whether a sample mean differs significantly from a known or hypothesized population mean. This test is valuable in various fields, including but not limited to quality control, economics, and healthcare, where comparisons between sample means and population parameters are essential for decision-making. By calculating the z-score and comparing it to the critical value from the standard normal distribution, statisticians can assess the significance of the observed difference. Understanding the principles and applications of the one-sample z-test is crucial for making informed decisions based on sample data.

Questions

- What is the z-score of sample X, if #n = 81, mu= 43, St. Dev. =90, and E[X] =57#?
- What is the z-score of sample X, if #n = 36, mu= 12.3, St. Dev. =47, and mu_X =18.5#?
- How do you calculate a z-score?
- What is the z-score of sample X, if #n = 36, mu= 12.3, St. Dev. =21, and mu_X =18.5#?
- What is the z-score of sample X, if #n = 169, mu= 33, St. Dev. =39, and E[X] =37#?
- What is the z score of 0.05?
- What is the z-score of sample X, if #n = 256, mu= 17, St. Dev. =80, and mu_X =22#?
- What type(s) of distributions can a z-test be applied to?
- What is the z-score of sample X, if #n = 100, mu= 61, St. Dev. =43, and E[X] =98#?
- If the mean of numbers 28, x, 42, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
- What is the z-score of sample X, if #n = 121, mu= 23, St. Dev. =110, and E[X] =43#?
- What is the z-score of sample X, if #n = 9, mu= 56, SD =30, and E[X] =32#?
- What is the z-score of X, if n = 72, #mu= 137#, SD =25, and X =13?
- What is the z-score of sample X, if #n = 64, mu= 56, SD =20, and E[X] =320#?
- What is the z-score of sample X, if #n = 100, mu= 45, SD =30, and E[X] =31#?
- What is the z-score of X, if #mu= 24#, SE =3, and X =31?
- What is the z-score of X, if n = 57, #mu= 35#, SD =5, and X =13?
- What is the z-score of X, if n = 135, #mu= 74#, SD =3, and X =73?
- What is the z-score of X, if n = 20, #mu= 20#, SD =3, and X =31?
- What is the z-score of sample X, if #n = 49, mu= 35, SD =105, and E[X] =39#?