A B D E F G H K M N 105 HYPOTHESIS TEST FOR THE POPULATION MEAN WHEN o IS KNOWN 117 112 148 Given the accompanying sample data, use Exceľ's formula options to determine if the population mean is less than 125 at the 5% significance level. Assume that the population is normally distributed and that the population standard deviation equals 12. 144 106 124 Complete the following analysis. Do not hard code values in your calculations. 137 Ho: µ2 Ha: p< 125 125 0.05 12 20 128 133 107 a = 123 108 n = 106 138 Sample Mean Mean can only be calculated using values in cells A1 through A20 121 129 Z test Statistic Z Statistic can only be calculated using E9, E10, E11, E12, E13, and E15 130 102 p value Compute the probability that Z is less than the Z Statistic. 141 Conclusion
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.
Given the accompanying sample data, use Excel’s formula options to find the 90% confidence interval for the population
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