Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 65 63.9 88 74.4 68.4 | 62.7 74.4 96 85.5 68.4 Test grades are believed to be normally distributed. Use a significance level of 5%.
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.
![D. State the test statistic: t
Enter an integer or decimal number, accurate to at least 4 decimal places [more..]
E. State the p-value:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3fcfba4-d5a9-43aa-9fcb-0d579c400a2f%2F6202cc1d-cf6a-40b1-aae2-3f2b3bff4f22%2F0cq9rl9_processed.png&w=3840&q=75)
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