77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2 a. What is the mean percentage of clockwise swimming for Southern Hermisphere dolphins? b. What is the 95% confidence intervai for the mean time swimming clockwise in the „Southern Hemisphere dolphins? c. What is the 99% confidence interval for the mean time swimming clockwise in the Southern Hemisphere dolphins? d. What is the best estimate of the standard deviation of the percentage of clockwise swimming? e. What is the median of the percentage of clockwise swimming?

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Chapter1: Starting With Matlab
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In the Northern Hemisphere, dolphins swim predominantly in a counterclockwise direction while sleeping. A group of researchers wanted to know whether the same was true for dolphins in the Southern Hemisphere. They watched eight sleeping dolphins and recorded the percentage of time that the dolphins swam clockwise. Assume that this is a random sample and that this variable has a normal distribution in the population. These data are as follows:

**Data:**
77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2

**Questions:**

a. What is the mean percentage of clockwise swimming for Southern Hemisphere dolphins?

b. What is the 95% confidence interval for the mean time swimming clockwise in the Southern Hemisphere dolphins?

c. What is the 99% confidence interval for the mean time swimming clockwise in the Southern Hemisphere dolphins?

d. What is the best estimate of the standard deviation of the percentage of clockwise swimming?

e. What is the median of the percentage of clockwise swimming?
Transcribed Image Text:**Data:** 77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2 **Questions:** a. What is the mean percentage of clockwise swimming for Southern Hemisphere dolphins? b. What is the 95% confidence interval for the mean time swimming clockwise in the Southern Hemisphere dolphins? c. What is the 99% confidence interval for the mean time swimming clockwise in the Southern Hemisphere dolphins? d. What is the best estimate of the standard deviation of the percentage of clockwise swimming? e. What is the median of the percentage of clockwise swimming?
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