A clinic compared healthy dogs it owned with healthy pets brought to clinic to be neutered. The summary statistics for blood cholesterol levels (milligrams deciliter of blood) appear in the following table: Турes Pets (P) Clinic (C) Difference (d = P - C) Average Standard deviation 61 195 69.7 61 181 41.9 61 14.0 51.5999999999 (a) Find a 99% confidence interval for the difference in mean blood cholesterol levels dogs brought to the clinic (P) and dogs owned by the clinic (C). (Round your answers to 4 decimal places, if needed.) (b) Based on this confidence interval, can we conclude there is some differences in mean blood cholesterol levels between the two groups? O Yes, since the interval contains 0. O Yes, since the interval is completely above 0. O No, since the interval is completely above 0. O No, since the interval contains 0.

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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.

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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.