Note: Please solve within 35 minutes. The proper explanation is a must. Saide scored 85 on a Bilogy test had a mean of 77 and a standard deviation of 5, and she scored 72 on a physics test that had a mean of 65 and a standard deiviation of 3. Suppose both distriburions are normal. a. Mich also took the same physics test and his score was higher that 31% of the class. What was Mitchs score? b. What is the probability that a random sample of 4 students would have a mean score on the psychics test above 63? (Please show work)
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.
Note: Please solve within 35 minutes. The proper explanation is a must.
Saide scored 85 on a Bilogy test had a mean of 77 and a standard deviation of 5, and she scored 72 on a physics test that had a mean of 65 and a standard deiviation of 3. Suppose both distriburions are normal.
a. Mich also took the same physics test and his score was higher that 31% of the class. What was Mitchs score?
b. What is the
(Please show work)
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