Which of the following are the assumptions for a one-sample t test? Fixed number of trials Unknown population standard deviation Independent trials Normal Sampling Distribution: n₁p₁ ≥ 5, n₁(1 - p₁) ≥ 5 n₂p₂ ≥ 5 & n₂(1 - p₂) ≥ 5 Expected values ≥ 5 Independent samples Normal Sampling Distribution: np ≥ 5 & n(1 - p) ≥ 5 Equal population variances The proportion is constant Normal Sampling Distribution: n ≥ 30 or Population is normally distributed Random sample Known population standard deviation Two outcomes
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Which of the following are the assumptions for a one-sample t test?
- Fixed number of trials
- Unknown population standard deviation
- Independent trials
Normal Sampling Distribution: n₁p₁ ≥ 5, n₁(1 - p₁) ≥ 5 n₂p₂ ≥ 5 & n₂(1 - p₂) ≥ 5Expected values ≥ 5- Independent samples
- Normal Sampling Distribution: np ≥ 5 & n(1 - p) ≥ 5
- Equal population variances
- The proportion is constant
- Normal Sampling Distribution: n ≥ 30 or Population is normally distributed
- Random sample
- Known population standard deviation
- Two outcomes
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