ACT Scores A survey of 1000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Illinois scores showed a mean of 21.3. If the populatio standard deviation in each case is 3, can we conclude the national average is greater than the Illinois average? Use a = 0.01 and use u, for the nationwide mean ACT Score. Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: H = H not claim > , claim test. This hypothesis test is a one-tailed Part: 1/5 Part 2 of 5 (b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): Submit A Save For Later Skip Part Check O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
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.
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