Is the difference between the mean annual salaries of registered nurses in State A and State B equal to $10,500? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown. Assume the population standard deviations are o, = $8337 and o, = $7633. At a = 0.01, what can you conclude? Registered Nurses in State Registered Nurses in State B 75,695 70,695 x, 30 n2 25 What are the null and alternative hypotheses for this test? O A. Ho: H1 - H2 2 10,500 Ha: H - H2 < 10,500 B. Ho: H1 - H2 = 10,500 O C. Ho: H1 -H2 * 10,500 Ha: H1 -H2 = 10,500 H: H1 -42 # 10,500 O D. Ho: H1 - Hz < 10,500 Hai H1-42 2 10,500 O E. Ho: H1 - H2 > 10,500 Ha: H1 -H2 S 10,500 OF. Ho: H1 - H2 S 10,500 Hai H1 -H2 > 10,500 Determine the critical value(s). (Round to three decimal places as needed. Use a comma separate answers as needed.)
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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