3) A study of estrogen levels in two different groups of women finds the following results (in pg/mL): Group A: 18.7 20.6 20.7 19.7 19.9 19.4 20.2 21.6 18.8 14.1 21.6 16.2 21.7 20.8 19.3 21.3 19.9 20.8 23.2 Group B: 15.2 36.2 27.5 4.7 24.5 29.4 25.9 62.8 Some summary statistics to help you: S n Group A: 19.921 2.0457 19 Group B: 28.275 16.9169 8 Is there a difference in estrogen levels? (Note: d.f. = 7.0864 for Welch's t-test). Use a = 0.05.
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.
Please answer:
4) Repeat (3), but this time assume equal variances. Use the same level of α you used before.
According to the attatched image.
![3) A study of estrogen levels in two different groups of women finds the following results (in pg/mL):
Group A:
18.7 20.6 20.7 19.7 19.9 19.4 20.2 21.6 18.8 14.1 21.6 16.2 21.7
20.8 19.3 21.3 19.9 20.8 23.2
Group B:
15.2 36.2 27.5 4.7 24.5 29.4 25.9 62.8
Some summary statistics to help you:
S
Group A:
19.921
2.0457
19
Group B:
28.275 16.9169
8.
Is there a difference in estrogen levels? (Note: d.f. = 7.0864 for Welch's t-test). Use a = 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3ed4570-ee9b-48d9-81d6-dafeeb7813ea%2Fa6f1e2b7-8167-4d58-9f11-5965f40a0516%2Fgi9ty62_processed.png&w=3840&q=75)
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