(Topic 11) Chirper is an online tool where people make posts, called chirps, of up to 144 characters. It is determined by the parent company of Chirper that users post an average of 15.3 chirps per week with a standard deviation of 7.6 chirps. You do not know the type of distribution. (a) If you take samples of size n = 36 from this distribution and take their average number of chirps (x), you can then work with a new distribution that is normal using the Central Limit Theorem. Find the mean and standard deviation of the normal distribution that represents a random sample of size 36. In other words, fill out the distribution below: X ∼ N( , ) (b) Use your results in part (a) to determine the probability that a random sample of 36 people who make posts to Chirper average 14.8 posts or more per week. Show probability statement setup.
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.
(Topic 11) Chirper is an online tool where people make posts, called chirps, of up to 144 characters. It is determined by the parent company of Chirper that users post an average of 15.3 chirps per week with a standard deviation of 7.6 chirps. You do not know the type of distribution.
(a) If you take samples of size n = 36 from this distribution and take their average number of chirps (x), you can then work with a new distribution that is normal using the Central Limit Theorem. Find the mean and standard deviation of the
(b) Use your results in part (a) to determine the
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