a) The mean of the sample is 9.771 km/h, and the standard deviation is 0.944 km/h. Construct and interpret a 95 percent confidence interval for the mean swimming speed of all emperor penguins in the population. BoldItalicUnderlineSuperscriptSubscriptUndoRedoΩBullet listNumbered listImage (12 image limit) Edit imageView imageDelete image 0 / 10000 Word Limit Question 2 (b) Can the estimate of the mean swimming speed be generalized to all types of penguins? Explain your reasoning.
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.
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.
The following stemplot shows the swimming speeds, in kilometers per hour (km/h), for a random sample of 31 emperor penguins.
(a) The
Question 2
(b) Can the estimate of the mean swimming speed be generalized to all types of penguins? Explain your reasoning.
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