You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ = 70.9 Ha:µ + 70.9 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 77 mean: M = 68.2 standard deviation: SD = 11.3. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) The P-value is... P-value = less than (or equal to) a greater than a This leads to a decision to... O reject the null accept the null fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is not equal to 70.9. O The sample data support the claim of the alternative hypothesis that the population mean is not equal to 70.9.
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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