A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tormado length is greater than 2.3 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A Click the icon to view the display from technology. Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? OA Ho: u=23 miles H,:u<23 miles OB. Hg: =23 miles H: u>23 miles OD. H,: u<23 miles H,: u=23 miles OC. H: u=23 miles H, p#2.3 miles
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.
B. Identify the test statistic._____
C. Identify the P-value.____
D. State the final conclusion that addresses the original claim.
(Fail to reject/ reject) H0. There is (sufficient/ not sufficient) evidence to support the claim that the mean tornado length is greater than 2.3 miles.
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