You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufa test 16 tires and get the following life spans. Complete parts (a) through (c) below. 48,854 41,439 26,895 38,919 32,129 39,649 41,423 35,083 24,680 32,992 39,044 36,579 34,198 38,590 36,914 45,120 27,097 46,437 27,097 46,437 Distance (in miles) Distance (in miles) Is it reasonable to assume that the life spans are normally distributed? Why? Choose the correct answer below. A. Yes, because the histogram is symmetric and bell-shaped. B. No, because the histogram is neither symmetric nor bell-shaped. C. No, because the histogram is symmetric and bell-shaped. O D. Yes, because the histogram is neither symmetric nor bell-shaped. (b) Find the mean of your sample. The mean is 37031.8. (Round to one decimal place as needed.) Find the standard deviation of your sample. The standard deviation is |. (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer. Frequency Frequency

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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.