You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 84.2 Ha:µ > 84.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n= 21 with mean M = 92.9 and a standard deviation of SD = 20.9. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =|| The p-value is... O less than (or equal to) a greater than a This p-value leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.2. The sample data support the claim that the population mean is greater than 84.2. O There is not sufficient sample evidence to support the claim that the population mean is greater than 84.2.

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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.