Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: µ> 1270; a = 0.08; o = 202.75. Sample statistics: x= 1285.42, n= 275 H3: p< 1270 H: u> 1270 O E. Ho u> 1270 OF. Ho: p2 1285.42 H3: us 1270 H3: p< 1285.42 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 8% significance level, there V enough evidence to V the claim.

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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.