You measure the length of 5 radish seedlings at 7 days and 10 days and get the following results in mm (do NOT use R) seedling #: 1 2 3 4 5 ¯y s 5 days: 30 20 38 49 32 33.8 10.686 7 days: 35 27 46 58 34 40 12.145 difference: -5 -7 -8 -9 -2 -6.2 2.77 (a) Is there a difference in length? (b) Repeat (a), but now use a regular (unpaired) t-test (c) What happened in (b)?
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.
You measure the length of 5 radish seedlings at 7 days and 10 days and get the following results in mm (do NOT use R)
seedling #: 1 2 3 4 5 ¯y s
5 days: 30 20 38 49 32 33.8 10.686
7 days: 35 27 46 58 34 40 12.145
difference: -5 -7 -8 -9 -2 -6.2 2.77
(a) Is there a difference in length?
(b) Repeat (a), but now use a regular (unpaired) t-test
(c) What happened in (b)?
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