1. A company manufactures car batteries with an average life span of 3 or more years. An engineer believes this value to be less. Using 15 samples, he measures the average life span to be 2.5 years with a standard deviation of 0.25. At 99% confidence level, is there enough evidence to discard the null hypothesis?Ho: На: a. Level of significance a= с. Туре of test. Choices: one-mean, two-tailed t-test two-mean, one-tailed t-test one-mean, one-tailed z-test two-mean, two-tailed z-test d.Tabulated value and computed value e. Decision f. Interpretation

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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.